Meso-macro modelling of fibre-reinforced rubber-like composites exhibiting large elastoplastic deformation

International Journal of Solids and Structures

Volumn 40, Issue 4, 2003, Pages 951-980

  Reese, Stefanie ^a  

^a RUHR UNIVERSITY BOCHUM   (Germany)

Author keywords

Anisotropy; Fabric structure; Finite elements; Orthotropic material behaviour; Parameter identification; Pneumatic membrane; Virtual testing

Indexed keywords

ALGORITHMS; ANISOTROPY; CONTINUUM MECHANICS; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; PLASTIC DEFORMATION; PLASTICITY;

FABRIC STRUCTURE;

TEXTILE FIBERS;

FIBER-REINFORCED MATERIAL;

ALGORITHMS; ANISOTROPY; FINITE ELEMENT ANALYSIS; MATHEMATICAL MODELS; PLASTIC DEFORMATION; PLASTICITY; TEXTILE FIBERS;

EID: 0037321283     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(02)00602-9     Document Type: Article

References (32)

1. Asaro, R., 1983. Micromechanics of crystals and polycrystals. Advances in Applied Mechanics 23, 1-115.
2. Bertram, A., 1992. Description of finite inelastic deformations. In: Benallal, A., Billardon, R., Marquis, D. (Eds.), Proceedings of MECAMAT '92, International Seminar on Multiaxial Plasticity. pp. 821-835.
3. Bertram, A., 1998. An alternative approach to finite plasticity based on material isomorphisms. International Journal of Plasticity 52, 353-374.
4. Boehler, J.P., 1977. On irreducible representations for isotropic functions. Zeitschrift für Angewandte Mathematik und Mechanik 57, 323-327.
5. Boehler, J.P., 1979. A simple derivation of representations for non-polynomial constitutive equations in some cases of anisotropy. Zeitschrift für Angewandte Mathematik und Mechanik 59, 157-167.
6. Bonet, J., Burton, A.J., 1998. A simple orthotropic, transversely isotropic hyperelastic constitutive equation for large strain computations. Computer Methods in Applied Mechanics and Engineering 162, 151-164.
7. Cuitino, A.M., Ortiz, M., 1992. Computational modeling of single crystals. Modelling and Simulation in Materials Science and Engineering 1, 225-263.
8. Gasser, T.C., Holzapfel, G.A., submitted for publication. A rate-independent elastoplastic constitutive model for fiber-reinforced composites at finite strains: Continuum basis, algorithmic formulation and finite element implementation.
9. Hill, R., 1966. Generalized constitutive relations for incremental deformation of metal crystals by multislip. Journal of the echanics and Physics of Solids 14, 95-102.
10. Holzapfel, G.A., Eberlein, R., Wriggers, P., Weizsäcker, H.W., 1996. A new axisymmetrical membrane element for anisotropic, finite strain analysis of arteries. Communications in Numerical Methods in Engineering 12, 507-517.
11. Holzapfel, G.A., Schulze-Bauer, C.A.J., Stadler, M., 2000. Mechanics of angioplasty: Wall, balloon and stent. In: Casey, J., Bao, G. (Eds.), Mechanics in Biology, AMD-vol. 242/BED-vol. 46. The American Society of Mechanical Engineers (ASME), New York, USA, pp. 141-156.
12. Liu, S., 1982. On representations of anisotropic invariants. International Journal of Engineering Science 20, 1099-1109.
13. Menzel, A., Steinmann, P., 2001. A theoretical and computational framework for anisotropic inelasticity. In: Proceedings (CD-ROM) of 2. European Conference on Computational Mechanics, Cracow, Poland.
14. Miehe, C., 1996. Exponential map algorithm for stress updates in anisotropic multiplicative elastoplasticity for single crystals. International Journal for Numerical Methods in Engineering 39, 3367-3390.
15. Ogden, R.W., 1984. Non-linear elastic deformations. Ellis Horwood, Chichester.
16. Reese, S., Küssner, M., Reddy, B.D., 1999. A new stabilization technique for finite elements in non-linear elasticity. International Journal for Numerical Methods in Engineering 44, 1617-1652.
17. Reese, S., Wriggers, P., Reddy, B.D., 2000. A new locking-free brick element technique for large deformation problems in elasticity. Computers and Structures 75, 291-304.
18. Reese, S., Raible, T., Wriggers, P., 2001. Finite element modelling of orthotropic material behaviour in pneumatic membranes. International Journal of Solids and Structures 38, 9525-9544.
19. Rice, J.R., 1971. Inelastic constitutive relations for solids: An internal-variable theory and its application to metal plasticity. Journal of the Mechanics and Physics of Solids 19, 433-455.
20. Rumpel, T., Schweizerhof, K., in press. Volume dependent pressure loading and its influence on the stability of structures. International Journal for Numerical Methods in Engineering.
21. Sansour, C., Kollmann, F.G., 2001. Anisotropic formulations for finite strain viscoplasticity, Applications to shells. In: Wall, W.A., Bletzinger, K.-U., Schweizerhof, K. (Eds.), Proceedings of Trends in Computational Structural Mechanics. CIMNE, Barcelona, Spain.
22. Schmidt, I., 2001. On plasticity and deformation induced anisotropy in metallic foams. In: Banhart, J., Ashby, M., Fleck, N. (Eds.), Proceedings of Cellular Metals and Metal Foaming Technology, MetFoam 2001. MIT Publishing Bremen, Germany.
23. Schweizerhof, K., Ramm, E., 1984. Displacement dependent pressure loads in nonlinear finite element analyses. Computers and Structures 18, 1099-1114.
24. Simo, J.C., Miehe, C., 1992. Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation. Computer Methods in Applied Mechanics and Engineering 98, 41-104.
25. Spencer, A.J.M., 2001. A theory of viscoplasticity for fabric-reinforced composites. Journal of the Mechanics and Physics of Solids 49, 2667-2687.
26. Svendsen, B., 1994. On the representation of constitutive relations using structure tensors. International Journal of Engineering Science 32, 1889-1892.
27. Svendsen, B., 1998. A thermodynamic formulation of finite-deformation elastoplasticity with hardening based on the concept of material isomorphism. International Journal of Plasticity 14, 473-488.
28. Svendsen, B., 2001. On the modelling of anisotropic elastic and inelastic material behaviour at large deformation. International Journal of Solids and Structures 38, 9579-9599.
29. Svendsen, B., Reese, S., submitted for publication. On the modelling of internal variables as structure tensors in anisotropic finite deformation inelasticity. International Journal of Plasticity.
30. Wang, C.C., Bloom, J., 1974. Material uniformity and inhomogeneity in anelastic bodies. Archive for Rational Mechanics and Analysis 53, 246.
31. Weiss, J.A., Maker, B.N., Govindjee, S., 1996. Finite element implementation of incompressible, transversely isotropic hyperelasticity. Computer Methods in Applied Mechanics and Engineering 135, 107-128.
32. Zhang, Q.-S., Rychlewski, J.M., 1990. Structural tensors for anisotropic solids. Archives of Mechanics 42, 267-277.