Elastic-viscoplastic analysis of plates by the finite element method

Abstract In this paper the finite element technique is employed in the solution of elastic-viscoplastic plate bending problems. The method is applicable to both thick and thin plates and by attaining steady-state conditions the process offers an alternative method of solution for static elasto-plastic situations. A quadratic isoparametric element based on Mindlin plate theory is adopted and the Euler time-stepping scheme is employed in solution. Yield criteria are based on moment resultants and the Von Mises, Tresca and Johansen forms are included. Several numerical examples are presented and the results compared with those from other sources where available

[1]  O. C. Zienkiewicz,et al.  VISCO-PLASTICITY--PLASTICITY AND CREEP IN ELASTIC SOLIDS--A UNIFIED NUMERICAL SOLUTION APPROACH , 1974 .

[2]  O. C. Zienkiewicz,et al.  Analysis of viscoplastic effects in pressure vessels by the finite element method , 1974 .

[3]  E. Hinton,et al.  A SIMPLE FINITE ELEMENT SOLUTION FOR PLATES OF HOMOGENOUS, SANDWICH AND CELLULAR CONSTRUCTION. , 1975 .

[4]  David R. Owen,et al.  Overlay models in time-dependent non-linear material analysis , 1977 .

[5]  R. D. Mindlin,et al.  Influence of rotary inertia and shear on flexural motions of isotropic, elastic plates , 1951 .

[6]  David R. Owen,et al.  Finite element analysis of non-linear composite materials by use of overlay systems , 1974 .

[7]  A. Phillips,et al.  On the structure of the theory of viscoplasticity , 1974 .

[8]  Wu Han-Chin,et al.  A Theory of viscoplasticity , 1973 .

[9]  H. S. Levine,et al.  Finite element analysis of structures in the plastic range , 1971 .

[10]  P. Perzyna Fundamental Problems in Viscoplasticity , 1966 .

[11]  E. C. Bingham Fluidity And Plasticity , 1922 .

[12]  O. C. Zienkiewicz,et al.  Reduced integration technique in general analysis of plates and shells , 1971 .

[13]  S. Timoshenko,et al.  THEORY OF PLATES AND SHELLS , 1959 .

[14]  O. C. Zienkiewicz,et al.  Analysis of thick and thin shell structures by curved finite elements , 1970 .

[15]  J. Hanley,et al.  Elasto-Plastic Plate Analysis by Finite Differences , 1967 .

[16]  Stephen P. Timoshenko,et al.  Vibration problems in engineering , 1928 .