Abstract
An algorithm for stable and accurate computations of stresses in finite element thermo-elastic-plastic and creep analysis of metals is presented. The effective-stress-function algorithm solves the governing equations of the inelastic constitutive behaviour by calculating the zero of the appropriate effective-stress-function: a functional relationship which involves as unknown only the effective stress. The derivation of the effective-stress-function for thermo-elasto-plasticity conditions, including creep, for 2-D and 3-D analysis is presented, and the algorithmic steps of the stress solution are discussed. For use in the stiffness matrix a tangent material stress-strain relationship is evaluated consistent with the effective-stress-function algorithm. The solution of some demonstrative problems shows the effectiveness of the solution procedure.
Original language | English (US) |
---|---|
Pages (from-to) | 1509-1532 |
Number of pages | 24 |
Journal | International Journal for Numerical Methods in Engineering |
Volume | 24 |
Issue number | 8 |
DOIs | |
State | Published - Aug 1987 |
ASJC Scopus subject areas
- Numerical Analysis
- General Engineering
- Applied Mathematics