Publications of Dr. Marita Thomas

PhD Thesis
Rate-independent Damage Processes in Nonlinearly Elastic Materials,
Humboldt-Universität zu Berlin, 2010. (pdf)

Publications in refereed journals

• R. Rossi, U. Stefanelli, and M. Thomas: Rate-independent evolution of sets.
  Accepted in Discrete Continuous Dynamical Systems, Series S, 2019. (WIAS Preprint 2578).
• G. Lazzaroni, R. Rossi, M. Thomas, and R.Toader: Rate-independent damage in thermo-viscoelastic materials with inertia.
  J. of Dynamics and Differential Equations 30(3): 1311--1364, 2018.
• D. Peschka, N. Rotundo, M. Thomas: Doping optimization for optoelectronic devices.
  Topical Collection on Numerical Simulation of Optoelectronic Devices (NUSOD), 2017,
  Optical and Quantum Electronics Journal 48:article no. 125, 2018.
• M. Thomas, C. Bilgen, and K. Weinberg:
  Phase-Field Fracture at Finite Strains Based on Modified Invariants: A Note on its Analysis and Simulations.
  GAMM-Mitteilungen 40(3): 207--237, 2018.
• R. Rossi and M. Thomas: From adhesive to brittle delamination in visco-elastodynamics.
  Mathematical Models and Methods in Applied Sciences 27:1489--1546, 2017 (WIAS Preprint 2259)
• R. Rossi and M. Thomas: Coupling rate-independent and rate-dependent processes: Existence results.
  SIAM J. Math. Anal., 49(2):1419--1494, 2017. (WIAS Preprint 2123)
• M. Thomas and C. Zanini: Cohesive zone-type delamination in visco-elasticity.
  DCDS-S, 10(6):1487--1517, 2017. (WIAS Preprint 2350)
• A. Mielke, D. Peschka, N. Rotundo, and M. Thomas:
  On some extension of energy-drift-diffusion models: Gradient structure for optoelectronic models of semiconductors.
  P. Quintela et al. (eds) Progress in Industrial Mathematics at ECMI 2016. ECMI 2016.
  Mathematics in Industry 26:291--298, Springer, 2017. (WIAS Preprint 2317)
• E. Bonetti, E. Rocca, R. Rossi and M. Thomas:
  A rate-independent gradient system in damage coupled with plasticity via structured strains.
  ESAIM Proceedings and Surveys, 2016, (WIAS Preprint 2178)
• D. Peschka, N. Rotundo, and M. Thomas:
  Towards doping optimization of semiconductor lasers.
  Journal of Computational and Theoretical Transport, 45(5):410-423, 2016, (WIAS-Preprint 2180).
• D. Peschka, M. Thomas, A. Glitzky, R. Nürnberg, M. Virgilio, S. Guha, T. Schroeder, G. Capellini, Th. Koprucki:
  Robustness analysis of a device concept for edge-emitting lasers based on strained germanium.
  Topical Collection on "Numerical Simulation of Optoelectronic Devices, NUSOD'15",
  Optical and Quantum Electronics Journal, 48:156, 2016.
• G. Lazzaroni, R. Rossi, M. Thomas, and R. Toader: Some remarks on a model for rate-independent damage in thermo-visco-elastodynamics.
  J. Phys., IOP Conference Series, proceeding of MURPHYS-HSFS-2014. (WIAS Preprint 2128)
• D. Peschka, M. Thomas, A. Glitzky, R. Nürnberg, K. Gärtner, M. Virgilio, S. Guha, T. Schroeder, G. Capellini, Th. Koprucki:
  Modeling of Edge-Emitting Lasers Based on Tensile Strained Germanium Microstrips.
  IEEE Photonics Journal, 7 (2015) Art.-Id 1502115.
• R. Rossi and M. Thomas: From an adhesive to a brittle delamination model in thermo-visco-elasticity.
  ESAIM: Control, Optimization and Calculus of Variations, 21(1):1-59, 2015. (WIAS Preprint 1692)
• M. Thomas: Uniform Poincaré-Sobolev and relative isoperimetric inequalities for classes of domains.
  Discrete Continuous Dynamical Systems, Series A 35(6):2741-2761, 2015. (WIAS Preprint 1797)
• T. Roubíček, M. Thomas and C. Panagiotopoulos: Stress-driven local solution approach to quasistatic brittle delamination.
  Nonlinear Analysis: Real World Applications 22(2015)645-663. (WIAS Preprint 1889)
• A. Mielke, S. Reichelt and M. Thomas: Two-scale homogenization of nonlinear reaction-diffusion systems with slow diffusion.
  Networks Heterogeneous Media, 9(2):353--382, 2014, AIMS. (WIAS Preprint 1834)
• M. Thomas: Quasistatic damage evolution with spatial BV-regularization. DCDS-S 6:235--255, 2013, AIMS. (WIAS Preprint 1638)
• A. Mielke, T. Roubíček and M. Thomas: From Damage to Delamination in Nonlinearly Elastic Materials at Small Strains,
  J. of Elasticity, 109(2):235--273, 2012, Springer. (WIAS Preprint 1542)
• P. Gruber, D. Knees, S. Nesenenko and M. Thomas: Analytical and numerical aspects of time-dependent models with internal variables,
  ZAMM Z. Angew. Math. Mech., 90 (2010) pp. 861--902. (WIAS Preprint 1460)
• M. Thomas and A. Mielke: Damage of nonlinearly elastic materials at small strain --- Existence and regularity results,
  ZAMM Z. Angew. Math. Mech., 90 (2010) pp. 88--112. (WIAS Preprint 1397)
• M. Thomas: Griffith Formula for Mode-III-Interface-Cracks in Strain-Hardening Compounds,
  Mechanics of Advanced Materials and Structures, 15:6 (2008) pp.428-437. (Preprint version)

Preprints

• D. Peschka, M. Thomas, T. Ahnert, A. Münch, and B. Wagner: Gradient structures for flows of concentrated suspensions. WIAS-Preprint 2543.
• M. Thomas, C. Bilgen, K. Weinberg: Analysis and simulations for a phase-field fracture model at finite strains based on modified invariants
  (WIAS Preprint 2456).
• M. Thomas and A.-M. Sändig: Energy release rate for interface-cracks in compounds of p-Laplacian type --- Griffith Formula and J-integral.
  (SFB 404 Preprint 2006/13, University of Stuttgart)

Proceedings

• R. Rossi and M. Thomas: From nonlinear to linear elasticity in a coupled rate-dependent/independent system for brittle delamination.
  in: Proceedings of the INdAM-ISIMM Workshop on Trends on Applications of Mathematics to Mechanics, Rome, Italy, September 2016,
  E. Rocca, U. Stefanelli, L. Truskinovsky, A. Visintin, eds., vol. 27 of Springer INdAM Series,
  Springer International Publishing, Cham, 2018, pp. 127--157. (WIAS Preprint 2409)
• S. Bartels, M. Milicevic, M. Thomas: Numerical approach to a model for quasistatic damage with spatial BV-regularization.
  in: Proceedings of the INdAM-ISIMM Workshop on Trends on Applications of Mathematics to Mechanics, Rome, Italy, September 2016,
  E. Rocca, U. Stefanelli, L. Truskinovsky, eds., vol. 27 of Springer INdAM Series,
  Springer International Publishing, Cham, 2018, pp. 179--203. (WIAS Preprint 2388).
• M. Thomas: A comparison of delamination models: Modeling, properties, and applications,
  in: Mathematical Analysis of Contimuum Mechanics and Industrial Applications II - Proceedings of the International Conference CoMFoS16,
  Mathematics for Industry, Springer, 2017, pp. 27--38. (WIAS Preprint 2393).
• G. Capellini, M. Virgilio, Y. Yamamoto, L. Zimmermann, B. Tillack, D. Peschka, M. Thomas, A. Glitzky, R. Nürnberg, K. Gärtner,
  Th. Koprucki, and Th. Schroeder: Modeling of an Edge-Emitting strained-Ge laser,
  in: Proceedings of "Advanced Solid State Lasers 2015", OSA Publishing. 13(1):537-540.
• M. Thomas and R. Rossi: Evolutionary Gamma-convergence results for rate-independent processes in viscoelastic materials,
  in: Variational Mehtods for Evolution (Oberwolfach-Workshop, Dec. 14-20, 2014), Oberwolfach-Report 57/2014:3237-3240.
• M. Thomas: Damage and delamination processes in thermo-viscoelastic materials,
  in: Proceedings of the GAMM, 84th annual meeting, PAMM 13(1):537-540.
• M. Thomas and R. Rossi: Delamination in visco-elastic materials with thermal effects,
  in: Proceedings of the GAMM, 83th annual meeting, PAMM 12:593-594, 2012.
• M. Thomas: Thermomechanical modeling via energy and entropy using GENERIC,
  in: Mechanics of Materials (Oberwolfach-Workshop, March 18-24, 2012), Oberwolfach-Report 15/2012:950-952.
• M. Thomas: From damage to delamination, in: Proceedings of the GAMM, 82th annual meeting, PAMM 11:179-180, 2011.
• M. Thomas: Modeling and analysis of rate-independent damage and delamination processes,
  Proceedings of the CMM2011, May 9-12, 2011, Warsaw.
• M. Thomas: From damage to delamination in nonlinearly elastic materials at small strains,
  in: Microstructures in Solids: From Quantum Models to Continua (Oberwolfach-Workshop, March 14-20, 2010),
  Oberwolfach-Report 14/2010:783-785.
• M. Thomas: On the Temporal Regularity of Solutions of Rate-independent Damage Processes,
  in: Proceedings of the GAMM, 80th annual meeting, PAMM 9:67-70, 2009.

Diploma Thesis
Mode-III-Interface Bruch in einem Verbund aus Nichtlinearen Materialien,
University of Stuttgart, 2006. (pdf)

back to Marita Thomas' homepage

---

Last modified: 2019-12-09 by Marita Thomas