Second-order theory for nonlinear composites and application to isotropic constituents

Comptes Rendus - Mecanique

Volumn 334, Issue 10, 2006, Pages 575-581

  Idiart, Martín I ^a,b   Danas, Kostas ^a,b   Ponte Castañeda, Pedro ^a,b  

^a LABORATOIRE DE MÉCANIQUE DES SOLIDES   (France)

^b UNIVERSITY OF PENNSYLVANIA   (United States)

Author keywords

Computational solid mechanics; Homogenization; Ideal plasticity; Nonlinear behavior

Indexed keywords

CONCENTRATION (PROCESS); LAMINATED COMPOSITES; PLASTICITY; STRAIN MEASUREMENT; STRESS ANALYSIS; STRESS CONCENTRATION;

COMPOSITE; HOMOGENEITY; NONLINEARITY; POWER LAW; STRESS-STRAIN RELATIONSHIP; THEORETICAL STUDY;

EID: 33749052303     PISSN: 16310721     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crme.2006.06.006     Document Type: Article

References (9)

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2. Ponte Castañeda P. Second-order homogenization estimates for nonlinear composites incorporating field fluctuations: I-Theory. J. Mech. Phys. Solids 50 (2002) 737-757
3. Idiart M.I., and Ponte Castañeda P. Second-order estimates for nonlinear isotropic composites with spherical voids and rigid particles. C. R. Mecanique 333 (2005) 147-154
4. M.I. Idiart, P. Ponte Castañeda, Field statistics in nonlinear composites I. Theory, Proc. R. Soc. Lond. A (2006), in press
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6. Idiart M.I., Moulinec H., Ponte Castañeda P., and Suquet P. Macroscopic behavior and field fluctuations for viscoplastic composites: Second-order estimates versus full-field simulations. J. Mech. Phys. Solids 54 (2006) 1029-1063
7. Willis J.R. Bounds and self-consistent estimates for the overall moduli of anisotropic composites. J. Mech. Phys. Solids 25 (1977) 185-202
8. Ponte Castañeda P. The effective mechanical properties of nonlinear isotropic composites. J. Mech. Phys. Solids 39 (1991) 45-71
9. deBotton G., and Hariton I. High-rank nonlinear sequentially laminated composites and their possible tendency towards isotropic behavior. J. Mech. Phys. Solids 50 (2002) 2577-2595