Computational homogenization analysis in finite elasticity: Material and structural instabilities on the micro- and macro-scales of periodic composites and their interaction

Computer Methods in Applied Mechanics and Engineering

Volumn 191, Issue 44, 2002, Pages 4971-5005

  Miehe, Christian ^a   Schröder, Jörg ^a   Becker, Martin ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

Author keywords

Elastic composites; Finite elasticity; Heterogeneous solids; Homogenization; Micro structures; Stability analysis

Indexed keywords

BUCKLING; COMPOSITE MATERIALS; DEFORMATION; ELASTICITY; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; POTENTIAL ENERGY; STRAIN; STRUCTURAL ANALYSIS;

HETEROGENEOUS MATERIALS;

COMPUTATIONAL METHODS;

COMPOSITE; ELASTICITY; HOMOGENIZATION; MICROSTRUCTURE;

EID: 0037063629     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(02)00391-2     Document Type: Article

References (42)

1. An investigation of localization in a porous elastic material using homogenization theory
2. Constitutive inequalities and existence theorems in nonlinear elastostatics
3. Convexity conditions and existence theorems in nonlinear elasticity
4. Asymptotic analysis for periodic structures
5. On the thermostatics of continuous media
6. Convergence problems for functions and operators
7. Homogenization of nonlinearly elastic materials, microscopic bifurcation and macroscopic loss of rank-one convexity
8. Analysis of composite materials- A survey
9. On uniqueness and stability in the theory of finite elastic strains
10. Elastic properties in reinforced composites: Some theoretical principles
11. On constitutive macro-variables for heterogeneous solids at finite strain
12. Theory of elastic stability
13. Quasiconvexity and uniqueness of equilibrium solutions in nonlinear elasticity
14. On the failure of ellipticity and the emergence of discontinuous deformation gradients in plane finite elastostatics
15. Materialtheorie
16. Periodic solutions and homogenization of nonlinear variational problems
17. Associative multiplicative elasto-plasticity: Formulation and aspects of the numerical implementation including stability analysis
18. Post-critical discontinuous localization analysis of small-strain softening elastoplastic solids
19. Computational homogenization analysis in finite plasticity, simulation of texture development in polycrystalline materials
20. Computational micro-macro transitions and overall moduli in the analysis of polycrystals at large strains
21. Quasi-convexity and the lower semicontinuity of multiple integrals
22. Homogenization of nonconvex integral functionals and cellular elastic materials
23. Micromechanics: Overall properties of heterogeneous materials, North-Holland series
24. Nonlinear composites
25. The application of Newtons method to the problem of elastic stability
26. Some computational aspects of the stability analysis of nonlinear structures
27. Nonhomogeneous media and vibration theory
28. Consistent linearization of path following methods in nonlinear FE analysis
29. Elements of homogenization for inelastic solid mechanics
30. On the comparison between microscopic and macroscopic instability mechanisms in a class of fiber-reinforced composites
31. The nonlinear field theories of mechanics
32. Variational and related methods for the overall properties of composites
33. A quadratically convergent procedure for the calculation of stability points in finite element analysis