**Daniel Balzani **

Full Professor (W3) for Continuum Mechanics,

Head of Chair

Building ICFW, Room 03/741

Phone: +49 (0)234 32-23080

E-Mail: daniel.balzani@rub.de

### Werdegang

Since 10/2017 | Professor (W3) of Continuum Mechanics, Department of Civil- and Environmental Engineering, Ruhr-University Bochum |

10/2016-09/2017 | Director of the Institute of Mechanics and Shell Structures and Full Professor of Mechanics |

10/2016-09/2017 | Open-Topic Tenure Track Professor (W3, life appointment) of Mechanics, Institute of Mechanics and Shell Structures, Faculty of Civil Engineering, Technical University Dresden |

05/2014-09/2016 | Open-Topic Tenure Track Professor (W3) of Mechanics, Institute of Mechanics and Shell Structures, Department of Civil Engineering, Technical University Dresden |

05/2011-04/2014 | Habilitation and Venia Legendi in "Mechanics", topic: "Simulation of Micro-Heterogeneous Materials based on Multiscale Approaches using Statistical Microstructure Descriptions", University of Duisburg-Essen |

11/2009 | "Akademischer Rat auf Zeit" at the Institute of Mechanics, Department of Engineering, Division Civil Engineering, University of Duisburg-Essen |

09/2010-03/2011 | Visiting research associate in the group of Prof. M. Ortiz, Graduate Aerospace Laboratories, California Institute of Technology in Pasadena (USA) |

04/2009-03/2010 | Substitute Professor (W2) for Mechanics with emphasis on material theory, Institute of Mechanics and Computational Mechanics (IBNM), Leibniz University Hannover |

01/2006-04/2011 | Research assistant, Institute of Mechanics, Department of Engineering, Division Civil Engineering, University of Duisburg-Essen |

04/2006 | Doctoral degree (Dr.-Ing.), Department of Civil Engineering and Geodesy, Technical University Darmstadt |

2003-2005 | Fellow in the DFG Research Training Group "Graduiertenkolleg Modellierung, Simulation und Optimierung von Ingenieuranwendungen" at the Technical University Darmstadt |

03/2003 | Engineering degree (Diploma), Institute of Mechanics, Faculty of Engineering, Department of Civil Engineering, University of Duisburg-Essen, topic: "Modelling of Transversely Isotropic Soft Tissues Based on Polyconvex Free Energy Functions" |

### Preise und Auszeichnungen

05/2013 | Gottschalk-Diederich Baedeker Award "... for his habilitation thesis in appreciation of his personal achievements with respect to the scientific reputation of the Universität Duisburg-Essen and his exemplary function in science." |

01/2013 | Admittance to the "Junges Kolleg" of the North Rhine-Westphalian Academy of Sciences, Humanities and the Arts: "The members of the "Junges Kolleg" are thematically, financially and ideally supported. They obtain a yearly fellowship of 10.000 Euro. Prerequisite for the membership are a dissertation and further outstanding scientific achievements at a university or other research facility in North Rhine-Westphalia." |

10/2011 | Admittance to the "Global Young Faculty": "The Global Young Faculty enables about 50 selected young researchers at the universities and non-university research facilities in the Ruhr-area to work together in interdisciplinary groups. For this purpose the "Stiftung Mercator" provides 650.000 EUR for the workgroups and individual travel expenses of 5.000 EUR for each member." |

05/2010 | Heinz Maier-Leibnitz Award "... for outstanding research achievements and for supporting prospective research activities. The award (16.000 EUR) is granted by the German Science Foundation DFG (Deutsche Forschungsgemeinschaft)." |

02/2009 | Richard Von Mises Price "... for his scientific achievements on the field "Polyconvex strain energy functions and their application in the area of composite structures and biomaterials", Association of Applied Mathematics and Mechanics GAMM (“Gesellschaft für angewandte Mathematik und Mechanik)" |

04/2009 | German-American Frontiers of Engineering: Invitation and participation at the "12th German-American Frontiers of Engineering Symposium" of the Alexander von Humboldt Foundation, April 22-25th, Potsdam, 2009. "Every year 30 young researchers in Germany and the United States of America working in engineering research at universities and industry are invited in order to support bilateral cooperations." |

06/2005 | M.I.T. Young-Researcher Fellowship Award "... for exemplary research in computational mechanics", granted by the Massachusetts Institute of Technology (MIT) in Boston, USA. The award pays for traveling and accommodation expenses for attending the III M.I.T. Conference on Computational Solid and Fluid Mechanics. |

### Publications

Balzani, D., Gandhi, A., Klawonn, A., Lanser, M., Rheinbach, O. & Schröder, J. (in press), "One-way and fully-coupled FE$^2$ methods for heterogeneous elasticity and plasticity problems: parallel scalability and an application to thermo-elastoplasticity of dual-phase steels", In Lecture Notes in Computational Science and Engineering (LNCSE). Springer. |

Prüger, S., Gandhi, A. & Balzani, D. (2018), "Influence of microstructure morphology on multi-scale modeling of low-alloyed TRIP-steels", Engineering Computations. Vol. 35(2), pp. 499-528. |

Sasagawa, T., Tanaka, M., Omote, R. & Balzani, D. (2018), "Construction of statistically similar representative volume elements for discontinuous fiber composites", Composite Structures. Vol. 203, pp. 193-203. |

Zahn, A. & Balzani, D. (2018), "A combined growth and remodeling framework for the approximation of residual stresses in arterial walls", Zeitschrift für Angewandte Mathematik und Mechanik. Vol. 10.1002/zamm.201700273 [DOI] |

Perotti, L., Ponnaluri, A., Krishnamoorthi, S., Balzani, D., Ennis, D. & Klug, W. (2017), "Method for the unique identification of hyperelastic material properties using full field measures", International Journal for Numerical Methods in Biomedical Engineering. Vol. 33(1), pp. e07281-n/a. [DOI] |

Vogel, S., Balzani, D., Matheas, J. & Franze, A. (2017), "Passen wir zueinander -- Was Lernzieltransparenz und formative Assessments zur Modulentwicklung beitragen können", HDS.Journal Perspektiven guter Lehre. Vol. 2, pp. 48-55. |

Balzani, D., Schmidt, T. & Ortiz, M. (2016), "Method for the Quantification of Rupture Probability in Soft Collagenous Tissues", International Journal for Numerical Methods in Biomedical Engineering. Vol.{DOI: 10.1002/cnm.2781} |

Baron, T., Khlopkov, K., Pretorius, T., Balzani, D., Brands, D. & Schröder, J. (2016), "Modeling of microstructure evolution with dynamic recrystallization in finite element simulations of martensitic steel", Steel Research. Vol. 87, pp. 37-45. |

Brands, D., Balzani, D., Scheunemann, L., Schröder, J., Richter, H. & Raabe, D. (2016), "Computational modeling of dual-phase steels based on representative three-dimensional microstructures obtained from EBSD data", Archive of Applied Mechanics. Vol. 86, pp. 575-598. |

Fausten, S., Balzani, D. & Schröder, J. (2016), "An algorithmic scheme for the automated calculation of fiber orientations in arterial walls", Computational Mechanics. Vol. 58, pp. 816-878. |

Schmidt, T. & Balzani, D. (2016), "Relaxed Incremental Variational Approach for the Modeling of Damage-Induced Stress Hysteresis in Arterial Walls", Journal of the Mechanical Behavior of Biomedical Materials. Vol. 58, pp. 149-162. |

Schröder, J., Viebahn, N., Balzani, D. & Wriggers, P. (2016), "A novel mixed finite element for finite anisotropic elasticity; The SKA-Element - Simplified Kinematics for Anisotropy", Computer Methods for Applied Mechanics and Engineering. Vol. 310, pp. 475-494. |

Tanaka, M., Balzani, D. & Schröder, J. (2016), "Implementation of incremental variational formulations based on the numerical calculation of derivatives using hyper dual numbers", Computer Method in Applied Mechanics and Engineering. Vol. 301, pp. 216-240. |

Tanaka, M., Balzani, D. & Schröder, J. (2016), "Robust Numerical Schemes for an Efficient Implementation of Tangent Matrices: Application to Hyperelasticity, Inelastic Standard Dissipative Materials and Thermo-Mechanics at Finite Strains", In Innovative Numerical Approaches for Multi-Field and Multi-Scale Problems, Lecture Notes in Applied and Computational Mechanics -- in honor of Michael Ortiz's 60th birthday. Volume in press |

Wagner, M., Jahn, A., Beyer, E. & Balzani, D. (2016), "Design and optimization of steel car body structures via local laser-strengthening", Engineering. Vol. 8, pp. 276-286. |

Weber, W., Fangye, Y., Balzani, D. & Zastrau, B. (2016), "Analytical and numerical modeling of a sub- and super-sonic moving load front along a rod's skin", In Advanced Methods of Continuum Mechanics for Materials and Structures. Springer Book Series. |

Balzani, D., Deparis, S., Fausten, S., Forti, D., Heinlein, A., Klawonn, A., Quarteroni, A., Rheinbach, O. & Schröder, J. (2015), "Numerical Modeling of Fluid-Structure Interaction in Arteries with Anisotropic Polyconvex Hyperelastic and Anisotropic Viscoelastic Material Models at Finite Strains", International Journal for Numerical Methods in Biomedical Engineering. , pp.{DOI: 10.1002/cnm.2756}. |

Balzani, D., Gandhi, A., Tanaka, M. & Schröder, J. (2015), "Numerical calculation of thermo-mechanical problems at large strains based on a robust approximation scheme for tangent stiffness matrices", Comput. Mech.. Vol. 55, pp. 861-871. |

Balzani, D. & Schmidt, T. (2015), "Comparative Analysis of Damage Functions for Soft Tissues: Properties at Damage Initialization", Mathematics and Mechanics of Solids. Vol. 20, pp. 480-492. |

Scheunemann, L., Balzani, D., Brands, D. & Schröder, J. (2015), "Construction of statistically similar RVEs", In Analysis and Computation of Microstructure in Finite Plasticity (Lecture notes in applied and computational mechanics 78). Springer. |

Scheunemann, L., Balzani, D., Brands, D. & Schröder, J. (2015), "Design of 3D statistically similar representative volume elements based on Minkowski functionals", Mech. Mater.. Vol. 90, pp. 185-201. |

Schmidt, T., Pandya, D. & Balzani, D. (2015), "Influence of Isotropic and Anisotropic Material Models on the Mechanical Response in Arterial Walls as a Result of Supra-Physiological Loadings", Mechanics Research Communications. Vol. 64, pp. 29-37. [DOI] |

Schriefl, A., Schmidt, T., Balzani, D., Sommer, G. & Holzapfel, G. (2015), "Selective Enzymatic Removal of Elastin and Collagen from Human Abdominal Aortas: Uniaxial Mechanical Response and Constitutive Modelling", Acta Biomaterialia. Vol. 17, pp. 125-136. |

Tanaka, M., Sasagawa, T., Omote, R., Fujikawa, M., Balzani, D. & Schröder, J. (2015), "A highly accurate 1st- and 2nd-order differentiation scheme for hyperelastic material models based on hyper-dual numbers", Computer Methods in Applied Mechanics and Engineering. Vol. 283, pp. 22-45. |

Balzani, D., Scheunemann, L., Brands, D. & Schröder, J. (2014), "Construction of Two- and Three-Dimensional Statistically Similar RVEs for Coupled Micro-Macro Simulations", Computational Mechanics. Vol. 54(5), pp. 1269-1284. |

Schmidt, T., Balzani, D. & Holzapfel, G. (2014), "Statistical Approach for a Micromechanically Based Continuum Description of Damage Evolution in Soft Collagenous Tissues", Computer Methods in Applied Mechanics and Engineering. Vol. 278, pp. 41-61. |

Schröder, J., Balzani, D. & Nisters, C. (2014), "Zur Modellierung dünner Schalen mit hyperelastisch isotropem und anisotropem Materialverhalten", In 2. Essener Membranbausymposium, September 26, Essen. Shaker-Verlag. |

Tanaka, M., Fujikawa, M., Balzani, D. & Schröder, J. (2014), "Robust numerical calculation of tangent moduli at finite strains based on complex-step derivative approximation and its application to localization analysis", Computer Methods in Applied Mechanics and Engineering. Vol. 269, pp. 454-470. |

Balzani, D., Brands, D. & Schröder, J. (2013), "Construction of Statistically Similar Representative Volume Elements", In Plasticity and Beyond, CISM Lecture Notes 550. , pp. 355-400. Springer. |

Kardas, D., Nackenhorst, U. & Balzani, D. (2013), "Computational Model for the Cell-Mechanical Response of the Osteocyte-Cytoskeleton based on Self-Stabilizing Tensegrity Structures", Biomechanics and Modeling in Mechanobiology. Vol. 12, pp. 167-183. |

Kiefer, B., Niederhaus, C., Balzani, D., Bobisch, C., Gerharz, E., Kruggel-Emden, H., Schwarz, A., Thielbörger, P. & Weiss, G. (2013), "Anreizsysteme - Eine Möglichkeit zur Verbesserung der universitären Lehre", Journal Hochschuldidaktik. Vol. 1-2 |

Balzani, D., Böse, D., Brands, D., Erbel, R., Klawonn, A., Rheinbach, O. & Schröder, J. (2012), "Parallel Simulation of Patient-specific Atherosclerotic Arteries for the Enhancement of Intravascular Ultrasound Diagnostics", Engineering Computations. Vol. 29(8) |

Balzani, D., Brinkhues, S. & Holzapfel, G. (2012), "Constitutive Framework for the Modeling of Damage in Collagenous Soft Tissues with Application to Arterial Walls", Computer Methods in Applied Mechanics and Engineering. Vol. 213--216, pp. 139-151. |

Balzani, D. & Ortiz, M. (2012), "Relaxed Incremental Variational Formulation for Damage at Large Strains with Application to Fiber-Reinforced Materials and materials with Truss-like Microstructures", Computer Methods in Applied Mechanics and Engineering. Vol. 92, pp. 551-570. |

Schröder, J., Balzani, D. & Brands, D. (2011), "Approximation of Random Microstructures by Periodic Statistically Similar Representative Volume Elements based on Lineal-Path Functions", Archive of Applied Mechanics. Vol. 81, pp. 975-997. |

Schröder, J., Balzani, D., Stranghöner, N., Uhlemann, J., Gruttmann, F. & Saxe, K. (2011), "Membranstrukturen mit nicht-linearem anisotropem Materialverhalten - Aspekte der Materialprüfung und der numerischen Simulation", Der Bauingenieur. Vol. 86, pp. 381-389. |

Schröder, J., Wriggers, P. & Balzani, D. (2011), "A new Mixed Finite Element based on Different Approximations of the Minors of Deformation Tensors", Computer Methods in Applied Mechanics and Engineering. Vol. 200, pp. 3583-3600. |

Balzani, D., Brands, D., Klawonn, A., Rheinbach, O. & Schröder, J. (2010), "On the Mechanical Modeling of Arterial Walls using Parallel Solution Strategies", Archive of Applied Mechanics. Vol. 80, pp. 479-488. |

Balzani, D., Brands, D., Schröder, J. & Carstensen, C. (2010), "Sensitivity Analysis of Statistical Measures for the Reconstruction of Microstructures based on the Minimization of generalized Least-Square Functionals", Technische Mechanik. Vol. 30, pp. 297-315. |

Balzani, D., Schröder, J. & Brands, D. (2010), "FE$^2$-Simulation of Micro-Heterogeneous Steels based on Statistically Similar RVEs", In Proceedings of the IUTAM Conference on Variational Concepts with Applications to the Mechanics of Materials. Volume 21, pp. 15-28. |

Balzani, D., Schröder, J. & Neff, P. (2010), "Applications of anisotropic polyconvex energies: thin shells and biomechanics of arterial walls", In Poly-, Quasi- and Rank-One Convexity in Applied Mechanics, CISM Lecture Notes 516. , pp. 131-176. Springer. |

Ebbing, V., Balzani, D., Schröder, J., Neff, P. & Gruttmann, F. (2009), "Construction of Anisotropic Polyconvex Energies and Applications to Thin Shells", Computational Materials Science. Vol. 46, pp. 639-641. |

Balzani, D. (2008), "Simulation of Deformation, Damage and Residual Stresses in Arterial Walls", Advanced Engineering Materials. Vol. 10(4), pp. 315-321. |

Balzani, D., Gruttmann, F. & Schröder, J. (2008), "Analysis of Thin Shells using Anisotropic Polyconvex Energy Densities", Computer Methods in Applied Mechanics and Engineering. Vol. 197, pp. 1015-1032. |

Balzani, D., Schröder, J. & Gross, D. (2007), "Numerical Simulation of Residual Stresses in Arterial Walls", Computational Materials Science. Vol. 39, pp. 117-123. |

Balzani, D. (2006), "Polyconvex Anisotropic Energies and Modeling of Damage Applied to Arterial Walls". School: Technische Universität Darmstadt. |

Balzani, D., Neff, P., Schröder, J. & Holzapfel, G. (2006), "A Polyconvex Framework for Soft Biological Tissues. Adjustment to Experimental Data", International Journal of Solids and Structures. Vol. 43(20), pp. 6052-6070. |

Balzani, D., Schröder, J. & Gross, D. (2006), "Simulation of Discontinuous Damage Incorporating Residual Stresses in Circumferentially Overstretched Atherosclerotic Arteries", Acta Biomaterialia. Vol. 2(6), pp. 609-618. |

Schröder, J., Balzani, D. & Gross, D. (2005), "Aspects of Modeling and Computer Simulation of Soft Tissues: Applications to Arterial Walls", Materialwissenschaft und Werkstofftechnik. Vol. 36(12), pp. 795-801. |

Schröder, J., Neff, P. & Balzani, D. (2005), "A Variational Approach for Materially Stable Anisotropic Hyperelasticity", International Journal of Solids and Structures. Vol. 42(15), pp. 4352-4371. |

### Konferenzbeiträge

Balzani, D., Miska, N. & Prüger, S. (2017), "Construction of Statistically Similar RVEs for the Quantification of Uncertainty Associated with the Material's Microstructure Morphology", In Proceedings of the 2nd International Conference on Uncertainty Quantification in Computational Sciences and Engineering, June 15-17, Rhodes Island, Greece. |

Balzani, D. & Zahn, A. (2017), "Residual stresses resulting from growth and remodeling in arterial walls", In VII International Conference on Computational Methods for Coupled Problems in Science and Engineering (COUPLED PROBLEMS 2017), Rhodes Islands. |

Fausten, S., Balzani, D., Heinlein, A., Klawonn, A., Rheinbach, O. & Schröder, J. (2017), "Steps towards more realistic FSI simulations of coronary arteries", Proceedings in Applied Mathematics and Mechanics. Vol. 17, pp. 187-188. |

Miska, N., Prüger, S. & Balzani, D. (2017), "Basic ideas for the quantification of uncertainty associated with the material's microstructure morphology using statistically similar RVEs", Proceedings in Applied Mathematics and Mechanics. Vol. 17, pp. 431-432. |

Motevalli, M., Balzani, D., Uhlemann, J. & Stranghöner, N. (2017), "On the Modeling of Textile Membranes with Nonlinear Anisotropic Material Behavior", Proceedings in Applied Mathematics and Mechanics. Vol. 17, pp. 433-434. |

Münch, S., Balzani, D., Röllig, M. & Spörl, E. (2017), "Method for the Development of Realistic Boundary Conditions for the Simulation of Non-Contact Tonometry", Proceedings in Applied Mathematics and Mechanics. Vol. 17, pp. 207-208. |

Obst, J., Franze, A. & Balzani, D. (2017), "On the Modelling of Memristive Material Behavior in the Context of the Finite Element Method", Proceedings in Applied Mathematics and Mechanics. Vol. 17, pp. 445-446. |

Prüger, S. & Balzani, D. (2017), "Implementation of a dissipation based path-following method and its application to the simulation of nonlocal quasi-brittle damage", Proceedings in Applied Mathematics and Mechanics. Vol. 17, pp. 267-268. |

Viebahn, N., Schröder, J., Wriggers, P. & Balzani, D. (2017), "Notes on a novel finite element for anisotropy at large strains", Proceedings in Applied Mathematics and Mechanics. Vol. 17 |

Wagner, M., Jahn, A., Beyer, E. & Balzani, D. (2017), "Property determination and heuristic component optimization approaches for locally laser-strengthened lightweight crash structures", Trends in Engineering Mechanics Special Publications (TEMSP), Proceedings of the EMI International Conference, March 19-22, Rio de Janeiro. |

Weber, W., Fangye, Y., Zastrau, B. & Balzani, B. (2017), "Ideas regarding a physically motivated selection of snapshots for POD calculations - application to z-pin pullout", Proceedings in Applied Mathematics and Mechanics. Vol. 17, pp. 483-484. |

Zahn, A. & Balzani, D. (2017), "Modeling of anisotropic growth and residual stresses in arterial walls", Acta Polytechnica CTU Proceedings. Vol. 7, pp. 85-90. [DOI] |

Fangye, Y., Weber, W., Zastrau, B. & Balzani, D. (2016), "Some basic ideas for the simulation of wave propagation in microstructures using proper orthogonal decomposition", Proceedings in Applied Mathematics and Mechanics. Vol. 16, pp. 333-334. |

Gandhi, A., Prüger, S. & Balzani, D. (2016), "A computational two scaled model for the simulation of micro-heterogeneous low-alloyed TRIP steels", Proceedings in Applied Mathematics and Mechanics. Vol. 16, pp. 335-336. |

Viebahn, N., Schröder, J., Wriggers, P. & Balzani, D. (2016), "Notes on a novel finite element for anisotropy at large strains", Proceedings in Applied Mathematics and Mechanics. Vol. 16, pp. 247-248. |

Zahn, A. & Balzani, D. (2016), "Modeling residual stresses in arterial walls based on anisotropic growth", Proceedings in Applied Mathematics and Mechanics. Vol. 16, pp. 333-334. |

Balzani, D. & Schmidt, T. (2015), "Relaxed incremental variational approach for damage in arteries", Proceedings in Applied Mathematics and Mechanics. Vol. 15, pp. 81-82. |

Fausten, S., Balzani, D. & Schröder, J. (2015), "Numerical calculation of fiber orientation in three-dimensional arterial walls", Proceedings in Applied Mathematics and Mechanics. Vol. 15, pp. 91-92. |

Scheunemann, L., Balzani, D., Brands, D. & Schröder, J. (2015), "A Comparison of Different Statistical Measures for the Construction of Statistically Similar RVEs for dual phase steel microstructures", In Proceedings of PLASTICITY'15: The 21th International Symposium on Plasticity and its Current Applications, January 4-9, Montego Bay, Jamaica. |

Scheunemann, L., Balzani, D., Brands, D. & Schröder, J. (2015), "Study on statistically similar RVEs for real microstructures based on different statistical descriptors", Proceedings in Applied Mathematics and Mechanics. Vol. 15, pp. 467-468. |

Schröder, J., Viebahn, N., Wriggers, P. & Balzani, D. (2015), "A mixed finite element formulation for anisotropic large strains -- A basic idea", In Report of the Workshop 1540 at the ``Mathematisches Forschungsinstitut Oberwolfach'' entitled ``Computational Engineering'', organized by S.C. Brenner, C. Carstensen, L. Demkowicz, P. Wriggers. |

Tanaka, M., Balzani, D. & Schröder, J. (2015), "Automatic implementation of elasto-plastic incremental formulations at finite strains using hyper-dual numbers", Proceedings in Applied Mathematics and Mechanics. Vol. 15, pp. 367-368. |

Weber, W., Balzani, D., Fangye, Y. & Zastrau, B. (2015), "Numerical modeling of a sub-sonic moving load front along a rod's skin", Proceedings in Applied Mathematics and Mechanics. Vol. 15, pp. 535-536. |

Balzani, D., Deparis, S., Fausten, S., Forti, D., Heinlein, A., Klawonn, A., Quarteroni, A., Rheinbach, O. & Schröder, J. (2014), "Aspects of Arterial Wall Simulations: Nonlinear Anisotropic Material Models and Fluid Structure Interaction", In Proceedings of the 11th World Congress on Computational Mechanics, July 20-25, Barcelona, Spain. |

Schröder, J., Gandhi, A. & Balzani, D. (2014), "Two-scale modeling of DP steel incorporating distributed properties inside the micro-constituents", Procedia Engineering. Vol. 81, pp. 1390-1395. |

Balzani, D., Schmidt, T. & Ortiz, M. (2014), "Calculation of Optimal Bounds on the Probability of Failure of Soft Biological Tissues", Proceedings of Applied Mathematics and Mechanics. Vol. 14, pp. 93-94. |

Fausten, S., Balzani, D. & Schröder, J. (2014), "Modeling the physiological behavior of arterial walls - comparative study regarding the viscoelastic response", Proceedings of Applied Mathematics and Mechanics. Vol. 14, pp. 95-96. |

Gandhi, A., Balzani, D. & Schröder, J. (2014), "Modeling advanced high-strength steels based on direct micro-macro calculations", Proceedings of Applied Mathematics and Mechanics. Vol. 14, pp. 587-588. |

Scheunemann, L., Balzani, D., Brands, D. & Schröder, J. (2014), "Comparison of statistical descriptors for the construction of statistically similar RVEs", Proceedings of Applied Mathematics and Mechanics. Vol. 14, pp. 539-540. |

Scheunemann, L., Balzani, D., Brands, D. & Schröder, J. (2014), "Comparative Study for the Efficient Construction of Statistically Similar RVEs", In Proceedings of the 11th World Congress on Computational Mechanics, July 20-25, Barcelona, Spain. |

Scheunemann, L., Schröder, J., Brands, D. & Balzani, D. (2014), "Construction of statistically similar RVEs - Comparative study regarding different statistical descriptors", Procedia Engineering. Vol. 81, pp. 1360-1365. |

Tanaka, M., Sasagawa, T., Omote, R., Fujikawa, M., Balzani, D. & Schröder, J. (2014), "Calculation of stresses and consistent tangent moduli from automatic differentiation of hyperelastic strain energy functions through the use of hyper dual numbers", Proceedings of Applied Mathematics and Mechanics. Vol. 14, pp. 429-430. |

Balzani, D., Scheunemann, L., Brands, D. & Schröder, J. (2013), "Construction of 3D statistically similar RVEs for dual-phase steel microstructures", In XII International Conference on Computational Plasticity. Fundamentals and Applications, September 3-5, Barcelona, Spain. |

Balzani, D., Schröder, J., Brands, D. & Scheunemann, L. (2013), "Simulation of dual phase steels based on three-dimensional statistically similar RVEs", In Proceedings of the 19th International Symposium on Plasticity and its Current Applications, Nassau, Bahamas, January 3-8. |

Balzani, D., Schmidt, T., Schriefl, A. & Holzapfel, G. (2013), "Constitutive Modeling of Damage Mechanisms in Arterial Walls and Related Experimental Studies", XLI APM Proceedings (Advanced Problems in Mechanics, St. Petersburg, Repino, July 1-6). |

Scheunemann, L., Balzani, D., Brands, D. & Schröder, J. (2013), "Designing Statistically Similar RVEs for 3D Dual Phase Steel Microstructures", Proceedings of Applied Mathematics and Mechanics. Vol. 1, pp. 271-272. |

Scheunemann, L., Balzani, D., Brands, D., Schröder, J. & Raabe, D. (2013), "Statistically similar RVE construction based on 3D dual-phase steel microstructures", In SEMC - Fifth International Conference on Structural Engineering, Mechanics and Computation, September 2-4, Cape Town, South Africa. |

Schmidt, T., Balzani, D. & Holzapfel, G. (2013), "Comparative Study of the Influence of Statistically Distributed Microscopic Quantities on the Damage in Collagenous Tissues", Proceedings of Applied Mathematics and Mechanics. Vol. 1, pp. 47-48. |

Schmidt, T., Balzani, D., Schriefl, A. & Holzapfel, G. (2013), "Modeling and experimental investigations of the stress-softening behavior of soft collagenous tissues", In XII International Conference on Computational Plasticity. Fundamentals and Applications, September 3-5, Barcelona, Spain. |

Schmidt, T., Balzani, D., Schriefl, A. & Holzapfel, G. (2013), "Material modeling of the damage behavior of arterial tissues", In Proceedings of the BMT - 3-Länder-Tagung D-A-CH, September 19-21, Graz, Austria. |

Schriefl, A., Schmidt, T., Balzani, D. & Holzapfel, G. (2013), "Determination of mechanical and microstructural tissue quantities for modeling damage in arterial tissues", In Proceedings of the BMT - 3-Länder-Tagung D-A-CH, September 19-21, Graz, Austria. |

Tanaka, M., Fujikawa, M., Balzani, D. & Schröder, J. (2013), "Complex-Step Derivative Approximation Schemes for the Robust Calculation of Numerical Constitutive Tangent Moduli", Proceedings of Applied Mathematics and Mechanics. Vol. 1, pp. 167-168. |

Balzani, D. & Ortiz, M. (2012), "Relaxed Incremental Variational Formulation for Damage in Fiber-Reinforced Materials", Proceedings of Applied Mathematics and Mechanics. Vol. 12(1), pp. 157-158. |

Balzani, D., Schröder, J. & Brands, D. (2012), "Construction of Statistically Similar Representative Volume Elements for Dual Phase Steels", In Proceedings of the 18th International Symposium on Plasticity and its Current Applications, San Juan, Puerto Rico, January 3-8. |

Balzani, D., Schröder, J. & Wrigger, P. (2012), "A new Mixed Finite Element Formulation based on Different Approximations of the Minors of Deformation Tensors", In Report of the Workshop 1207 at the ``Mathematisches Forschungsinstitut Oberwolfach'' entitled ``Advanced Computational Engineering'', organized by O. Allix, C. Carstensen, J. Schröder, P. Wriggers. |

Scheunemann, L., Balzani, D., Brands, D. & Schröder, J. (2012), "Construction of Statistically Similar RVEs for 3D Microstructures", Proceedings of Applied Mathematics and Mechanics. Vol. 12(1), pp. 429-420. |

Schröder, J., Balzani, D., Brands, D. & Scheunemann, L. (2012), "On the incorporation of microstructural information of two-phase steels in FE-simulations of sheet metal forming", In Forming Technology Forum, June 5-6, IVP, ETH Zurich, Switzerland. |

Schmidt, T., Balzani, D., Ricken, T. & Werner, D. (2012), "A Biphasic Approach for the Simulation of Growth Processes in Soft Biological Tissues Incorporating Damage-Induced Stress Softening", Proceedings of Applied Mathematics and Mechanics. Vol. 12(1), pp. 91-92. |

Schröder, J., Eidel, B., Brands, D. & Balzani, D. (2012), "Nano to Micro - Perspectives for Homogenization in Crystalline Solids", Proceedings of Applied Mathematics and Mechanics. Vol. 12(1), pp. 19-22. |

Balzani, D., Holzapfel, G. & Brinkhues, S. (2011), "Modeling of damage in soft biological tissues and application to arterial walls", In XI International Conference on Computational Plasticity. Fundamentals and Applications. |

Balzani, D., Schröder, J. & Brands, D. (2011), "Simulation of two-phase steels based on statistically similar representative volume elements", Proceedings of Applied Mathematics and Mechanics. Vol. 11, pp. 939-242. |

Balzani, D., Schröder, J. & Brands, D. (2011), "Statistically Similar RVEs for the Simulation of Two-Phase Steels based on Lineal-Path Functions", In Contribution to the Second African Conference on Computational Mechanics AfriCOMP11, January 5 - 8, 2011, Cape Town, South Africa. |

Brands, D., Balzani, D., Schröder, J. & Raabe, D. (2011), "Simulation of DP-steels based on statistically similar representative volume elements and 3d EBSD data", In XI International Conference on Computational Plasticity. Fundamentals and Applications. |

Brands, D., Schröder, J. & Balzani, D. (2011), "On the Incorporation of Microstructural Information in Dual Phase Steel Simulations", In Proceedings of the 10th International Conference on Technology of Plasticity, September 25-30. |

Brands, D., Schröder, J. & Balzani, D. (2011), "Statistically Similar Reconstruction of Dual-Phase Steel Microstructures for Engineering Applications", In Proceedings of the 19th International Conference on Computer Methods in Mechanics (CMM). |

Brands, D., Schröder, J., Balzani, D., Dmitrieva, O. & Raabe, D. (2011), "On the reconstruction and computation of dual-phase steel microstructures based on 3d-EBSD data", Proceedings of Applied Mathematics and Mechanics. Vol. 11, pp. 503-504. |

Schröder, J., Balzani, D. & Brands, D. (2011), "Efficient FE$^2$-Simulations Using Statistically Similar RVEs", In Proceedings of the 17th International Symposium on Plasticity and its Current Applications, Puerto Vallarta, Mexico, January 3-8. |

Balzani, D., Brands, D. & Schröder, J. (2010), "Construction of Statistically Similar Representative Volume Elements for FE$^2$-Simulations based on the Lineal-Path Function", In Proceedings of the 4th European Conference on Computational Mechanics (ECCM). |

Balzani, D., Schröder, J. & Brands, D. (2010), "Statistically Similar Representative Volume Elements based on Lineal-Path Functions", In Report of the Workshop 1011 at the ``Mathematisches Forschungsinstitut Oberwolfach'' entitled ``Microstructures in Solids: From Quantum Models to Continua'', organized by A. Mielke and M. Ortiz. |

Brands, D., Balzani, D. & Schröder, J. (2010), "On the construction of statistically similar representative volume elements based on the lineal-path function", Proceedings of Applied Mathematics and Mechanics. Vol. 10, pp. 399-400. |

Schröder, J., Balzani, D. & Brands, D. (2010), "A FE$^2$-Homogenization Technique for Two-Phase Steels based on Statistically Similar Representative Volume Elements", In Proceedings of the 16th International Symposium on Plasticity and its Current Applications, St. Kitts, USA, January 3-8. Neat press. |

Balzani, D., Brinkhues, S. & Holzapfel, G. (2009), "Comparative Study of Polyconvex Strain-Energy Functions used for the Modeling of Damage Hysteresis in Overstretched Arterial Walls", In Proceedings of the 7th EUROMECH Solid Mechanics Conference. |

Balzani, D. & Schröder, J. (2009), "Reconstruction of statistically similar microstructures for FE$^2$-simulations in elasto-plasticity", In Proceedings of the International Symposium of Plasticity. Neat press. |

Balzani, D., Schröder, J. & Brands, D. (2009), "Modeling of Two-Phase Steels based on Statistically Similar Microstructures", In Proceedings of the 18th International Conference on Computer Methods in Mechanics (CMM)., pp. 115-116. The University of Zielona Gora Press. |

Balzani, D., Schröder, J. & Brands, D. (2009), "Statistically Similar RVEs for FE$^2$-Simulations", In Report of the Workshop 29 at the ``Mathematisches Forschungsinstitut Oberwolfach'' entitled ``Computational Multiscale Methods'', organized by C. Carstensen and B. Engquist., pp. 1604-1606. |

Balzani, D., Schröder, J., Brands, D. & Carstensen, C. (2009), "FE$^2$-Simulations in Elasto-Plasticity using Statistically Similar Representative Volume Elements", Proceedings of Applied Mathematics and Mechanics. Vol. 9, pp. 39-42. |

Brinkhues, S., Balzani, D. & Holzapfel, G. (2009), "Simulation of Damage Hysteresis in Biological Soft Tissues", Proceedings of Applied Mathematics and Mechanics. Vol. 9, pp. 155-156. |

Balzani, D. & Schröder, J. (2008), "Some Basic Ideas for the Reconstruction of Statistically Similar Microstructures for Multiscale Simulations", Proceedings of Applied Mathematics and Mechanics. Vol. 8, pp. 10533-10534. |

Schröder, J. & Balzani, D. (2008), "Modeling of Finite Elasto-Plasticity in DP-Steels by Discrete Multiscale Simulations", In Proceedings of the 3rd Greek-Serbian Symposium on Recent Advances in Mechanics. |

Schröder, J., Balzani, D., Richter, H., Schmitz, H. & Kessler, L. (2008), "Simulation of Microheterogeneous Steels based on a Discrete Multiscale Approach", In Proceedings of the 7th International Conference and Workshop on Numerical Simulation of 3D Sheet Metal Forming Processes., pp. 379-383. |

Balzani, D., Brands, D., Klawonn, A., Rheinbach, O. & Schröder, J. (2007), "Large-scale Simulation of Arterial Walls: Mechanical Modeling", Proceedings of Applied Mathematics and Mechanics. Vol. 7, pp. 4020017-4020018. |

Balzani, D., Klawonn, A., Rheinbach, O., Schröder, J. & Brands, D. (2007), "Simulation of Arterial Walls using FETI Domain Decomposition Methods", In Proceedings of the ECCOMAS conference Modelling of Heterogeneous Materials with Applications in Construction and Biomedical Engineering., pp. 104-105. |

Balzani, D., Schröder, J., Brands, D., Klawonn, A. & Rheinbach, O. (2007), "Computer Simulation of Damage in Overstretched Atherosclerotic Arteries", In Proc. of the III International Congress on Computational Bioengineering., pp. 209-214. |

Balzani, D., Schröder, J. & Gruttmann, F. (2007), "Polyconvex Energy Densities with Applications to Anisotropic Thin Shells", Proceedings of Applied Mathematics and Mechanics. Vol. 7, pp. 4060027-4060028. |

Brands, D., Schröder, J., Balzani, D., Klawonn, A. & Rheinbach, O. (2007), "Modeling and Computational Aspects of Arterial Wall", In Computational Plasticity IX - Fundamentals and Applications., pp. 261-264. |

Rheinbach, O., Klawonn, A., Schröder, J., Balzani, D. & Brands, D. (2007), "Simulation of Arterial Walls: An Algebraic Interface to Iterative Substructuring", In Proceedings of the III International Congress on Computational Bioengineering., pp. 51-56. |

Schröder, J., Klawonn, A., Balzani, D., Rheinbach, O. & Brands, D. (2007), "On Mechanical Modeling of Arterial Walls and Parallel Solution Strategies", In Proceedings of the 2nd GAMM Seminar on Continuum Biomechanics., pp. 97-107. |

Balzani, D., Schröder, J. & Gross, D. (2006), "Computer Simulation of Anisotropic Damage and Residual Stresses in Atherosclerotic Arteries", In Proceedings of the III European Conference on Computational Mechanics. |

Balzani, D., Schröder, J. & Gross, D. (2006), "Modeling of Residual Stresses and Damage in Arterial Walls", Proceedings of Applied Mathematics and Mechanics. Vol. 6, pp. 127-128. |

Schröder, J. & Balzani, D. (2006), "Simplified Multiphase Modeling of Steel - Theoretical Overview". Institut für Mechanik, Fakultät für Ingenieurwissenschaften, Universität Duisburg-Essen, Technical Report Report No. 24, 2006. |

Balzani, D., Schröder, J. & Gross, D. (2005), "Modeling of Anisotropic Damage in Arterial Walls", Proceedings of Applied Mathematics and Mechanics. Vol. 5, pp. 287-288. |

Balzani, D., Schröder, J., Gross, D. & Neff, P. (2005), "Modeling of Anisotropic Damage in Arterial Walls Based on Polyconvex Stored Energy Functions", In Computational Plasticity VIII, Fundamentals and Applications, Part 2., pp. 802-805. |

Balzani, D., Schröder, J. & Gross, D. (2005), "Modeling of Anisotropic Hyperelasticity and Discontinuous Damage in Arterial Walls Based on Polyconvex Stored Energy Functions", In Proceedings Third MIT Conference on Computational Fluid and Solid Mechanics., pp. 55-59. |

Balzani, D., Schröder, J. & Gross, D. (2005), "Modeling of Hyperelasticity and Anisotropic Damage in Arterial Walls", In Contribution to the Biomechanica 2005. |

Schröder, J., Balzani, D. & Bluhm, J. (2005), "Simplified Multiphase Modeling of Steel - A Feasibility Study". Institut für Mechanik, Fakultät für Ingenieurwissenschaften, Universität Duisburg-Essen, Technical Report Report No. 23, 2005. |

Balzani, D., Schröder, J. & Gross, D. (2004), "A Simple Model for Anisotropic Damage with Applications to Soft Tissues", Proceedings of Applied Mathematics and Mechanics. Vol. 4, pp. 236-237. |

Balzani, D., Schröder, J., Gross, D. & Neff, P. (2004), "Modellierung von Hyperelastizität und Anisotroper Diskontinuierlicher Schädigung in Biologischen Geweben", In Contribution to the Symposium 2004 of the Austrian Society of Biomedical Engineering: Biomedizinische Technik. |

**List of Publications**