Finite deformation of incompressible fiber-reinforced elastomers: A computational micromechanics approach

Journal of the Mechanics and Physics of Solids

Volumn 57, Issue 9, 2009, Pages 1596-1613

  Moraleda, Joaquín ^a   Segurado, Javier ^a   LLorca, Javier ^a  

^a UNIVERSIDAD POLITÉCNICA DE MADRID   (Spain)

Author keywords

Computational micromechanics; Elastic material; Fiber reinforced composite material; Rubber material

Indexed keywords

COMPOSITE MICROSTRUCTURES; COMPUTATIONAL MICROMECHANICS; EFFECTIVE PROPERTY; ELASTIC MATERIAL; EVOLUTION OF THE MICROSTRUCTURE; FIBER-REINFORCED COMPOSITE MATERIAL; FINITE DEFORMATIONS; FINITE ELEMENT SIMULATIONS; HOMOGENEOUS DISPERSIONS; HYPER ELASTIC; HYPERELASTIC COMPOSITES; IN-PLANE; LARGE DEFORMATIONS; MATRIX; MONODISPERSE; POLYDISPERSE; REINFORCED ELASTOMERS; REMESHING; REPRESENTATIVE VOLUME ELEMENTS; RIGID FIBERS; RUBBER MATERIAL;

DEFORMATION; ELASTICITY; ELASTOMERS; FIBER REINFORCED PLASTICS; FIBERS; MICROSTRUCTURE; POLYDISPERSITY; REINFORCED PLASTICS; REINFORCEMENT; RUBBER;

COMPOSITE MICROMECHANICS;

EID: 68049111468     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2009.05.007     Document Type: Article

References (39)

1. Abaqus, 2008. Users' Manual, version 6.7. ABAQUS, Inc.
2. Bergstrom J.S., and Boyce M.C. Mechanical behavior of particle-filled elastomers. Rubber Chemistry and Technology 72 (1999) 633-656
3. deBotton G. Transversely isotropic sequentially laminated composite in finite elasticity. Journal of the Mechanics and Physics of Solids 53 (2005) 1334-1361
4. Gent A.N. A new constitutive relation for rubber. Rubber Chemistry and Technology 69 (1996) 59-61
5. Geymonat G., Muller S., and Triantafyllidis N. Homogenization of nonlinearly elastic materials, microscopic bifurcation and macroscopic loss of rank-one convexity. Archive of Rational Mechanics and Analysis 122 (1993) 231-290
6. González C., and LLorca J. A self-consistent approach to the elasto-plastic behavior of two-phase materials including damage. Journal of the Mechanics and Physics of Solids 48 (2000) 675-692
7. González C., and LLorca J. Mechanical behavior of unidirectional fiber-reinforced polymers under transverse compression: microscopic mechanisms and modeling. Composites Science and Technology 67 (2007) 2795-2806
8. González C., Segurado J., and LLorca J. Numerical simulation of elasto-plastic deformation of composites: evolution of stress microfields and implications for homogenization models. Journal of the Mechanics and Physics of Solids 52 (2004) 1573-1593
9. Hashin Z. Large isotropic elastic deformation of composites and porous media. International Journal of Solids and Structures 21 (1985) 711-720
10. Hazanov S., and Huet C. Order relationships for boundary condition effects in heterogeneous bodies smaller than the representative volume. Journal of the Mechanics and Physics of Solids 42 (1994) 1995-2011
11. He Q.-C., Quang H.L., and Feng Z.-Q. Exact results for the homogenization of elastic fiber-reinforced solids at finite strain. Journal of Elasticity 78 (2006) 153-177
12. Hill R. On the constitutive macro-variables for heterogeneous solids at finite strain. Proceedings of the Royal Society of London A 326 (1972) 131-147
13. Khisaeva Z.F., and Ostoja-Starzewski M. On the size of RVE in finite elasticity of random composites. Journal of Elasticity 85 (2006) 153-173
14. Lahellec N., Mazerolle F., and Michel J.C. Second-order estimate of the macroscopic behavior periodic hyperelastic composites: theory and experimental validation. Journal of the Mechanics and Physics of Solids 52 (2004) 27-49
15. López-Pamiés O., and Ponte-Castañeda P. Second-order homogenization estimates incorporating field fluctuations in finite elasticity. Mathematics and Mechanics of Solids 9 (2004) 243-270
16. López-Pamiés O., and Ponte-Castañeda P. On the overall behaviour, microstructure evolution, and macroscopic stability in reinforced rubbers at large deformations: I: theory. Journal of the Mechanics and Physics of Solids 54 (2006) 807-830
17. López-Pamiés O., and Ponte-Castañeda P. On the overall behaviour, microstructure evolution, and macroscopic stability in reinforced rubbers at large deformations: II: application to cylindrical fibers. Journal of the Mechanics and Physics of Solids 54 (2006) 831-863
18. Miehe C., Schroder J., and Becker M. 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 191 (2002) 4971-5005
19. Monetto I., and Drugan W.J. A micromechanics-based nonlocal constitutive equation for elastic composites containing randomly oriented spheroidal heterogeneities. Journal of the Mechanics and Physics of Solids 52 (2004) 359-393
20. Moraleda J., Segurado J., and LLorca J. Finite deformation of porous elastomers: a computational micromechanics approach. Philosophical Magazine 87 (2007) 5607-5627
21. Muller S. Homogenization of nonconvex integral functionals and cellular elastic materials. Archive of Rational Mechanics and Analysis 99 (1987) 189-212
22. Nemat-Nasser S., and Hori M. Micromechanics: Overall Properties of Heterogeneous Materials (1999), North-Holland, Amsterdam
23. Odgen R.W. On the overall moduli of non-linear elastic composite materials. Journal of the Mechanics and Physics of Solids 22 (1974) 541-553
24. Odgen R.W. Extremum principles in non-linear elasticity and their application to composites-I. Theory. International Journal of Solids and Structures 14 (1978) 265-282
25. Ostoja-Starzewski M., Du X., Khisaeva Z., and Li W. Comparisons of the size of representative volume element in elastic, plastic, thermoelastic, and permeable random microstructures. International Journal of Multiscale Computational Engineering 5 (2007) 73-82
26. Pierard O., LLorca J., Segurado J., and Doghri I. Micromechanics of particle-reinforced elasto-viscoplastic composites: numerical simulations versus affine homogenization. International Journal of Plasticity 23 (2007) 1041-1060
27. Ponte-Castañeda P. The overall constitutive behavior of nonlinearly elastic composites. Proceedings of the Royal Society of London A 422 (1989) 147-171
28. Ponte-Castañeda P. Second-order homogenization estimates for non-linear composites incorporating field fluctuations. I. Theory. Journal of the Mechanics and Physics of Solids 50 (2002) 737-757
29. Ponte-Castañeda P., and Tiberio E. A second-order homogenization method in finite elasticity and applications to black-filled elastomers. Journal of the Mechanics and Physics of Solids 48 (2000) 1389-1411
30. Ponte-Castañeda P., and Willis J.R. The effect of spatial distribution on the effective behavior of composites materials and cracked media. Journal of the Mechanics and Physics of Solids 43 (1995) 1919-1951
31. Rintoul M.D., and Torquato S. Reconstruction of the structure of dispersions. Journal of Colloid and Interface Science 186 (1997) 467-476
32. Segurado J., and LLorca J. A numerical approximation to the elastic properties of sphere-reinforced composites. Journal of the Mechanics and Physics of Solids 50 (2002) 2107-2121
33. Segurado J., and LLorca J. A computational micromechanics study of the effect of interface decohesion on the mechanical behavior of composites. Acta Materialia 53 (2005) 4931-4942
34. Segurado J., and LLorca J. Computational micromechanics of composites: the effect of particle spatial distribution. Mechanics of Materials 38 (2006) 873-883
35. Segurado J., LLorca J., and González C. On the accuracy of mean-field approaches to simulate the plastic deformation of composites. Scripta Materialia 46 (2002) 525-529
36. Torquato S. Random Heterogeneous Materials (2001), Springer, Berlin
37. Totry E., González C., and LLorca J. Influence of the loading path on the strength of fiber-reinforced composites subjected to transverse compression and shear. International Journal of Solids and Structures 45 (2008) 1663-1675
38. Totry E., González C., and LLorca J. Prediction of the failure locus of C/PEEK composites under transverse compression and longitudinal shear through computational micromechanics. Composites Science and Technology 68 (2008) 3128-3136
39. Triantafyllidis N., Nestorovic M.D., and Schraad M.W. Failure surfaces for finitely strained two-phase periodic solids under general in-plane loading. Journal of Applied Mechanics 73 (2006) 505-515