Dr.-Ing. Thomas Schmidt

Forschung » Lehre » Werdegang » Betreute_Abschlussarbeiten » Publikationen

Forschung

• Anpassung von Materialmodellen an experimentelle Spannungs-Dehnungskurven
• Evolutionäre Algorithmen
• Modellierung anisotroper Schädigung
• Simulation von Deformationen atherosklerotischer Arterien
• Relaxierte Variationsformulierungen für Schädigung bei finiten Deformationen
• Schädigungsfunktionen für biologische Weichgewebe
• Optimale Unsicherheitsquantifizierung für biologische Weichgewebe

Lehre

• FEM - Coupled Problems
• Computational Inelasticity

Werdegang

Betreute Abschlussarbeiten

• Pandya, D. (2014), "Comparison of Isotropic and Anisotropic Constitutive Models for the Description of Fiber-Reinforced Tissues", Masterarbeit, Institut für Mechanik, Abt. Bauwissenschaften, Universität Duisburg-Essen.

Publikationen

• Balzani, D.,  Schmidt, T., & Ortiz, M. (submitted), "Method for the Quantification of Rupture Probability in Soft Collagenous Tissues". International Journal for Numerical Methods in Biomedical Engineering.

• Schmidt, T. & Balzani, D. (in press), "Relaxed Incremental Variational Approach for the Modeling of Damage-Induced Stress Hysteresis in Arterial Walls". Journal of the Mechanical Behavior of Biomedical Materials, DOI: 10.1016/j.jmbbm.2015.08.005.

• Balzani, D. & Schmidt, T. (submitted), "Relaxed Incremental Variational Approach for Damage in Arteries". Proceedings in Applied Mathematics and Mechanics.

• Schmidt, T., "Modeling the Biomechanics of Arterial Walls Under Supra-Physiological Loading". Dissertation, Institut für Mechanik und Flächentragwerke, Technische Universität Dresden.

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

• Balzani, D., & Schmidt, T. (2015), "Comparative Analysis of Damage Functions for Soft Tissues: Properties at Damage Initialization", Mathematics and Mechanics of Solids. Vol. 20(4), pp. 480-492

• 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.
  

• Schmidt, T., Schriefl, A.J., Balzani, D. & Holzapfel, G.A. (2014), "Modeling Supra-Physiological Loading of Human Arterial Walls - Damage, Anisotropy and Component-Specific Behavior". Biomedizinische Technik / Biomedical Engineering. Vol. 59(s1), pp. 1023-1024.

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

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

• Schmidt, T., Balzani, D., Schriefl, A. & Holzapfel, G.A. (2013), "Material Modeling of the Damage Behavior of Arterial Tissues". Biomedizinische Technik / Biomedical Engineering. Vol. 58 (Suppl. 1).

• Schriefl, A., Schmidt, T., Balzani, D. & Holzapfel, G.A. (2013), "Determination of Mechanical and Microstructural Tissue Quantities for Modeling Damage in Arterial Tissues". Biomedizinische Technik / Biomedical Engineering. Vol. 58 (Suppl. 1).

• Schmidt, T., Balzani, D. & Holzapfel, G.A. (2013), "Modeling and Experimental Investigations of the Stress-Softening Behavior of Soft Collagenous Tissues", In XII International Conference on Computational Plasticity. Fundamentals and Applications, pp. 133-144.

• Schmidt, T., Balzani, D. & Holzapfel, G.A. (2013), "Comparative Study of the Influence of Statistically Distributed Microscopic Quantities on the Damage in Collagenous Tissues", Proceedings in Applied Mathematics and Mechanics. Vol. 13, pp. 47-48.

• Balzani, D., Schmidt, T., Schriefl, A.J. & Holzapfel, G.A. (2013), "Constitutive Modeling of Damage Mechanisms in Arterial Walls and Related Experimental Studies", Advanced Problems in Mechanics, Proceedings of the XLI Summer School-Conference APM 2013, pp. 16-24.

• Schmidt, T., Balzani, D., Schriefl, A.J. & Holzapfel, G.A. (2013), "Experimental Characterization and Related Modeling of Damage Mechanisms in Soft Biological Tissues", In Proceedings of the 11th International Symposium on Computer Methods in Biomechanics and Biomedical Engineering, Salt Lake City, Utah, USA, April 3-6.

• 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 in Applied Mathematics and Mechanics. Vol. 12, pp. 91-92.

• Schmidt, T. (2011), "Modeling of Damage and Growth in Collagenous Soft Tissues", Report No. 65, Institut für Mechanik, Abt. Bauwissenschaften, Universität Duisburg-Essen.