Microscopic symmetric bifurcation condition of cellular solids based on a homogenization theory of finite deformation

Journal of the Mechanics and Physics of Solids

Volumn 50, Issue 5, 2002, Pages 1125-1153

  Ohno, N ^a   Okumura, D ^a   Noguchi, H ^b  

^a NAGOYA UNIVERSITY   (Japan)

^b KEIO UNIVERSITY   (Japan)

Author keywords

A. Buckling; B. Finite strain; C. Stability and bifurcation; Foam material; Microstructures

Indexed keywords

BUCKLING; DEFORMATION; HONEYCOMB STRUCTURES; MICROSTRUCTURE; STRAIN;

CELLULAR SOLIDS; FINITE DEFORMATION;

FOAMED PLASTICS;

EID: 0036567890     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-5096(01)00106-5     Document Type: Article

References (41)

1. An investigation of localization in a porous elastic material using homogenization theory
2. On finite deformation of composites with periodic microstructure
3. Effect of imperfections on the yielding of two-dimensional foams
4. Effect of inclusions and holes on the stiffness and strength of honeycombs
5. Compressive response and failure of circular cell polycarbonate honeycombs under inplane uniaxial stresses
6. In-plane biaxial crush response of polycarbonate honeycombs
7. Buckling of reticulated shell structures
8. Computational bifurcation theory: Path-tracing, pinpointing and path-switching
9. Homogenization of nonlinearly elastic materials, microscopic bifurcation and macroscopic loss of rank-one convexity
10. Failure surfaces for cellular materials under multiaxial loads - I. Modelling
11. Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods
12. Behavior of intact and damaged honeycombs: A finite element study
13. Analysis of geometrically nonlinear and stability problems by static perturbation method
14. A general theory of uniqueness and stability in elastic-plastic solids
15. Elastic properties of reinforced solids: Some theoretical principles
16. The essential structure of constitutive laws for metal composites and polycrystals
17. Imperfection sensitivity of externally pressurized spherical shells
18. Elasto-plastic yield limits and deformation laws for transversely crushed honeycombs
19. Study on fracture mode transition of unidirectional CFRP by using homogenization method - 1st report, formulation
20. Homogenized properties of elastic-viscoplastic composites with periodic internal structures
21. A homogenization theory for elastic-viscoplastic composites with point symmetry of internal distributions
22. In-plane crushing of a polycarbonate honeycomb
23. Biaxial crushing of honeycombs - Part I: Experiments
24. Biaxial crushing of honeycombs - Part II: Analysis
25. On the stability analysis of symmetrical frameworks
26. Micro-scale problems with buckling for mutli-scale analyses of cellular solids
27. Non-homogeneous media and vibration theory
28. Local and global aspects in the mathematical theory of plasticity
29. Elements of homogenization for inelastic solid mechanics
30. The formulation of homogenization method applied to large deformation problem for composite materials
31. Elastoplastic analysis of composite materials using the homogenization method - 1st report, formulation
32. Elastoplastic analysis of composite materials using the homogenization method - 2nd report, numerical analysis
33. The influence of scale size on the stability of periodic solids and the role of associated higher order gradient continuum models
34. On the comparison between microscopic and macroscopic instability mechanisms in a class of fiber-reinforced composites
35. Comparison of microscopic and macroscopic instabilities in a class of two-dimensional periodic composites
36. Onset of failure in aluminum honeycombs under general in-plane loading
37. A homogenization theory for time-dependent nonlinear composites with periodic internal structures