A space-time finite element method for elasto-plastic shock dynamics

Journal of Sound and Vibration

Volumn 222, Issue 1, 1999, Pages 65-84

  Han, R P S ^a   Lu, J ^b  

^a UNIVERSITY OF IOWA   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0011193927     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1998.2033     Document Type: Article

References (23)

1. O. C. ZIENKIEWICZ 1991 The Finite Element Method, Volume 2. London: McGraw-Hill; fourth edition.
2. D. J. R. OWEN and E. HINTON 1980 Finite Elements in Plasticity. Swansea: Pineridge Press Limited.
3. M. L. WILKINS 1964 in Methods of Computational Physics, Volume 3 (B. Alder, S. Fernback and M. Rottenberg, editors) 211-263. New York: Academic Press. Calculation of elastic-plastic flow.
4. R. D. KRIEG and D. B. KRIEG 1977 Transactions of the American Society of Mechanical Engineers, Journal of Pressure Vessel Technology 99, 510-515. Accuracies of numerical solution methods for the elastic perfect plastic model.
5. J. LUBLINER 1990 Plasticity Theory. New York: Macmillan Publishing Company.
6. K. WASHIZU 1982 Variational Methods in Elasticity and Plasticity. Oxford: Pergamon Press; third edition.
7. E. L. WILSON and R. E. NICKELL 1966 Nuclear Engineering and Design 4, 1-11. Application of finite element method to heat conduction analysis.
8. J. T. ODEN 1969 International Journal for Numerical Methods in Engineering 1, 247-259. A general theory of finite elements II. Applications.
9. J. H. ARGYRIS and D. W. SCHARPF 1969 Nuclear Engineering and Design 10, 456-464. Finite elements in time and space.
10. I. FRIED 1969 American Institute of Aeronautics and Astronautics Journal 7, 1170-1173. Finite element analysis of time dependent phenomena.
11. O. C. ZIENKIEWICZ 1977 Earthquake Engineering and Structural Dynamics 5, 413-418. A new look at the Newmark, Houbolt and other time stepping formulas: a weight residual approach.
12. LI-MIN TANG, YING-XI LIU and ZHEN-FENG ZHAO 1990 Acta Mechanica Solida Sinica 3, 201-208. A study of the finite element discretization technique in time domain.
13. P. LESAINT and P. A. RAVIART 1974 in Mathematical Aspects of Finite Element in Partial Differential Equations (C. de Boor, editor) 89-123. New York: Academic Press. On a finite element method for solving the neutron transport equation.
14. P. JAMET 1978 Society for Industrial and Applied Mathematics, Journal of Numerical Analysis 15, 912-928. Galerkin-type approximations which are discontinuous in time for parabolic equations in a variable domain.
15. C. JOHNSON 1987 Numerical Solution of Partial Differential Equations by the Finite Element Method. Cambridge: Cambridge University Press.
16. A. CELLA, M. LUCCHESI and G. PASQUINELLI 1980 International Journal for Numerical Methods in Engineering 15, 1475-1488. Space-Time finite elements for the shock wave propagation problem.
17. C. D. BAILEY 1975 Foundations of Physics 5, 433-451. A new look at Hamilton's principle.
18. n correct formulations.
19. R. P. S. HAN and J. LU 1995 Final Report, Contract SSC XSG91-00142-(607). Submitted to Defense Research Establishment, Suffield, Alberta. Development of a numerical method for nonlinear dynamic analysis of beams subjected to intense dynamic loads.
20. J. C. SIMO and R. L. TAYLOR 1985 Computational Methods in Applied Mechanics and Engineering 48, 101-118. Consistent tangent operators for rate-independent elasto-plasticity.
21. J. C. SIMO, J. G. KENNEDY and R. L. TAYLOR 1989 Computational Methods in Applied Mechanics and Engineering 89, 177-206. Complementary mixed finite element formulations for elastoplasticity.
22. T. J. R. HUGHES and R. L. TAYLOR 1977 International Journal for Numerical Methods in Engineering 11, 1529-1543. A simple and efficient finite element for bending.
23. R. P. S. HAN and J. LU 1993 Progress Report #7, Contract SSC X5G91-00142-(607). Submitted to Defense Research Establishment, Suffield, Alberta. An elastoplastic beam element.