High-fidelity micromechanical modeling of continuously reinforced elastic multiphase materials undergoing finite deformations

Mathematics and Mechanics of Solids

Volumn 9, Issue 6, 2004, Pages 599-628

  Aboudi, Jacob ^a   Pindera, Marek Jerzy ^b  

^a TEL AVIV UNIVERSITY   (Israel)

^b UNIVERSITY OF VIRGINIA   (United States)

Author keywords

Finite deformations; Homogenization; Micromechanics; Multiphase materials

Indexed keywords

COMPOSITE MATERIALS; DEFORMATION; ELASTICITY; ELASTOPLASTICITY; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; POROUS MATERIALS; STRAIN; STRESS ANALYSIS;

FINITE DEFORMATIONS; HOMOGENIZATION; MULTIPHASE MATERIALS;

COMPOSITE MICROMECHANICS;

EID: 3943061896     PISSN: 10812865     EISSN: None     Source Type: Journal    
DOI: 10.1177/1081286504038591     Document Type: Article

References (22)

1. Paley, M. and Aboudi, J. Micromechanical analysis of composites by the generalized method of cells. Mechanics of Materials, 14, 127-139 (1992).
2. Aboudi, J., Pindera, M-J. and Arnold, S. M. Higher-order theory for functionally graded materials. Composites: Part B (Engineering), 30, 777-832 (1999).
3. Aboudi, J., Pindera, M-J. and Arnold, S. M. Linear thermoelastic higher-order theory for periodic multiphase materials. Journal of Applied Mechanics, 68, 697-707 (2001).
4. Aboudi, J., Pindera, M-J. and Arnold, S. M. Higher-order theory for periodic multiphase materials with inelastic phases. International Journal of Plasticity, 19, 805-847 (2003).
5. Aboudi, J. High-fidelity micromechanical modeling of elastic multiphase materials undergoing finite deformation: theory. EMC Report No. 2002-1, EMC, Charlottesville, VA, 2002.
6. Aboudi, J. Micromechanical analysis of the fully coupled finite thermoelastic response of rubberlike matrix composites. International Journal of Solids & Structures, 39, 2587-2612 (2002).
7. Holzapfel, G. A., Gasser, T. C. and Ogden, R. W. A new constitutive framework for arterial wall mechanics and a comparative study of material models. Journal of Elasticity, 61, 1-48 (2000).
8. Holzapfel, G. A. and Gasser, T. C. A viscoelastic model for fiber-reinforced composites at finite strains: continuum basis, computational aspects and applications. Computer Methods in Applied Mechanics and Engineering, 190, 4379-4403 (2001).
9. Holzapfel, G. A. Nonlinear Solid Mechanics, Wiley, New York, 2000.
10. Aboudi, J. Overall finite deformation of elastic and elastoplastic composites. Mechanics of Materials, 5, 73-86 (1986).
11. Parton, V. Z. and Kudryavtsev, B. A. Engineering Mechanics of Composite Structures, CRC Press, Boca Raton, FL, 1993.
12. Kalamkarov, A. L. and Kolpakov, A. G. Analysis, Design and Optimization of Composite Structures, Wiley, New York, 1997.
13. Hill, R. Elastic properties of reinforced solids: some theoretical principles. Journal of the Mechanics and Physics of Solids, 11, 357-372 (1963).
14. Ogden, R. W. (1984). Non-Linear Elastic Deformations, Ellis Horwood, Chichester, UK.
15. Jafari, A. H., Abeyaratne, R. and Horgan, C. O. The finite deformation of a pressurized circular tube for a class of compressible materials. Zeitschrift für Angewandte Mathematik und Physik, 35, 227-246 (1984).
16. Haughton, D. M. Inflation and bifurcation of thick-walled compressible elastic spherical shells. IMA Journal of Applied Mathematics, 39, 259-272 (1987).
17. Blatz, P. J. and Ko, W. L. Application of finite elastic theory to the deformation of rubbery materials. Transactions of the Society for Rheology, 6 223-251 (1962).
18. Hashin, Z. and Rosen, B. W. The elastic moduli of fiber-reinforced materials. Journal of Applied Mechanics, 31, 223-232 (1964).
19. Sussman, T. and Bathe, K. J. (1987). A finite element formulation of nonlinear incompressible elastic and inelastic analysis. Computers & Structures, 26, 357-409.
20. Aboudi, J. and Pindera, M-J. High-fidelity micromechanical modeling of elastic multiphase materials undergoing finite deformation: model validation and user's guide. EMC Report No. 2002-2, EMC, Charlottesville, VA, 2002.
21. Horgan, C. O. On axisymmetric solutions for compressible nonlinearly elastic solids. Zeitschrift für Angewandte Mathematik und Physik 46, S107-125 (1995).
22. Chung, D. T., Horgan, C. O. and Abeyaratne, R. The finite deformation of internally pressurized hollow cylinders and spheres for a class of compressible elastic materials. International Journal of Solids & Structures, 22, 1557-1570 (1986).