Adaptive methods in the mechanics of heterogeneous materials / von Xiaozhe Ju, M.Sc. ; Referent: Prof. Dr.-Ing. habil. Rolf Mahnken, M.Sc., Korreferenten: Uni.-Prof. Dipl.-Ing. Dr. Barbara Kaltenbacher, Prof. Dr.-Ing. Stephan Wulfinghoff. Paderborn, 2019
Inhalt
- 1 Introduction
- 1.1 Heterogeneous materials
- 1.2 Classical continuum mechanics
- 1.3 Homogenization methods
- 1.4 Generalized continuum mechanics
- 1.5 From a physical problem to its numerical solution
- 1.6 Goal-oriented error estimate and adaptivity
- 2 Objectives
- 3 Summary of the papers
- Paper A: Model adaptivity on effective elastic properties coupled with adaptive FEM
- Paper B: Goal-oriented adaptivity based on a model hierarchy of mean-field and full-field homogenization methods in linear elasticity
- Paper C: An NTFA-based homogenization framework considering softening effects
- Paper D: Goal-oriented adaptivity for linear elastic micromorphic continua based on primal and adjoint consistency analysis
- Paper E: Goal-oriented h-type adaptive finite elements for micromorphic elastoplasticity
- 4 Summary
- 5 Outlook
- Bibliography