Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.3/191388

Title

Elasto-plastic finite element method based on incremental deformation theory and continuum based shell elements for planar anisotropic sheet materials

Author(s)

Yoon, J. W.;  Yang, D. Y.;  Chung, K.

Abstract

An implicit approach for the incremental analysis of planar anisotropic sheet forming processes is developed based on the incremental deformation theory. The incremental deformation theory based on the minimum plastic work path enables convenient decoupling of deformation and rotation by the polar decomposition. The mathematical description of a constitutive law for the incremental deformation theory is obtained from the flow theory along the minimum plastic work path. The resulting constitutive law is then incorporated in an elasto-plastic finite element analysis code. In the elasto-piastic formulation, continuum based resultant (CBR) shell element is employed. The CBR shell allows large rotation and large membrane/bending strain. The laminar coordinate system is taken to coincide with planar anisotropic material axes. Then, planar anisotropic axes during deformation are updated using a newly developed algorithm based on the polar decomposition. An iterative solving method based on the incremental deformation theory is also developed for an accurate and stable stress integration. The planar anisotropy is incorporated into the formulation for sheet forming by introducing non-quadratic Barlat's yield function. For verification purposes, two examples have been simulated and compared with experimental results. The good verification results show that the present elasto-plastic formulation for planar anisotropic sheet materials can provide a good theoretical basis for more extended analyses of sheet forming processes.

Publication type

Journal article

Source

Computer Methods in Applied Mechanics and Engineering, Vol. 174, no. 1-2 (May 1999), pp. 23-56

Publication year

1999

FOR Code(s)

0102 Applied Mathematics;  0905 Civil Engineering;  0913 Mechanical Engineering

Keyword(s)

Anisotropy;  CBR;  Continuum based resultant;  Incremental deformation theory;  Sheet forming;  Sheet materials

Publisher

Elsevier

ISSN

0045-7825

Publisher URL

http://dx.doi.org/10.1016/S0045-7825(98)00275-8

Copyright

Copyright © 1999 Published by Elsevier Science S.A. All rights reserved.

Peer reviewed