Computational plasticity and viscoplasticity for composite materials and structures

Composites Part B: Engineering

Volumn 29, Issue 5, 1998, Pages 613-619

  Fish, J ^a   Shek, K ^a  

^a RENSSELAER POLYTECHNIC INSTITUTE   (United States)

Author keywords

Bodner Partom models; Plasticity; Viscoplasticity

Indexed keywords

COMPOSITE MATERIALS; COMPUTATIONAL COMPLEXITY; EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL MODELS; VISCOPLASTICITY;

BODNER-PARTOM MODELS;

COMPOSITE STRUCTURES;

EID: 0032312697     PISSN: 13598368     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1359-8368(98)00015-8     Document Type: Article

References (19)

1. Bodner, S. R. and Partom, Y., Constitutive equations for elastic-viscoplastic strain-hardening materials. Journal of Applied Mechanics, 1975, 42, 385-389.
2. Dvorak, G. J., Transformation field analysis of inelastic composite materials. Proceedings of the Royal Society of London, 1992, A437, 311-327.
3. Fish, J., Nayak, P. and Holmes, M. H., Microscale reduction error indicators and estimators for a periodic heterogeneous medium. Computational Mechanics, 1994, 14, 328-338.
4. Fish, J., Shek, K., Pandheeradi, M. and Shephard, M. S., Computational plasticity for composite structures based on mathematical homogenization: theory and practice. Computer Methods in Applied Mechanics and Engineering, 1997, 148, 53-73.
5. Guedes, J.M. and Kikuchi, N., Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods. Computer Methods in Applied Mechanics and Engineering, 1990, 83, 143-198.
6. Merzer, A. M., Modeling of adiabatic shear band development from small imperfections. Journal of the Mechanics and Physics and Solids, 1982, 30, 12-13.
7. Odqvist, F. K. G., Mathematical Theory of Creep and Creep Rupture. Clarendon Press, Oxford, 1974.
8. Pierce, D., Shih, C.F. and Needleman, A., A tangent modulus method for rate dependent solid. Computers and Structures, 1984, 18, 875-887.
9. Simo, J.C. and Taylor, R.L., Consistent tangent operators for rate-independent elastoplasticity. Computer Methods in Applied Mechanics and Engineering, 1985, 48, 101-118.
10. Stouffer, D.C. and Bodner, S.R., A constitutive model for the deformation induced anisotropic plastic flow of metals. International Journal of Engineering Science, 1979, 17, 12-13.
11. Fish, J. and Shek, K. L., Finite deformation plasticity for composite structures: computational models and adaptive strategies, Computational Advances in Modeling Composites and Heterogeneous Materials, ed. J. Fish. Special Issue of Computer Methods in Applied Mechanics and Engineering, 1998.
12. Benssousan, A., Lions J. L. and Papanicoulau, G., Asymptotic Analysis for Periodic Structure. North-Holland, Amsterdam, 1978.
13. Tong, P. and Mey, C.C., Mechanics of composites of multiple scales. Computational Mechanics, 1992, 9, 195-210.
14. Fish, J. and Belsky, V., Multigrid method for a periodic heterogeneous medium. Part I: convergence studies for one-dimensional case. Comp. Meth. Appl. Mech. Engng, 1995, 126, 1-16.
15. Fish, J. and Belsky, V., Multigrid method for a periodic heterogeneous medium. Part 2: multiscale modeling and quality control in multidimensional case. Comp. Meth. Appl. Mech. Engng, 1995, 126, 17-38.
16. Fish, J. and Belsky, V., Generalized aggregation multilevel solver. International Journal for Numerical Methods in Engineering, 1997, 40, 4341-4361.
17. Fish, J. and Suvorov, A., Automated adaptive multilevel solver. Comp. Meth. Appl. Mech. Engng., 1997, 149, 267-287.
18. Oden, J. T. and Zohdi, T. I. Analysis and adaptive modeling of highly heterogeneous elastic structures. TICAM report, December, 1996.
19. Liu, W.K., Belytschko, T. and Mani, A., Random fields finite elements. International Journal for Numerical Methods in Engineering, 1986, 23, 1831-1845.