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Title: Improved boundary-integral equation method for time-dependent inelastic deformation in metals

Technical Report ·
DOI:https://doi.org/10.2172/5940965· OSTI ID:5940965

Efficient solution of boundary-value problems for time-dependent inelastic deformation in metallic structures are generally solved by finite element methods and separate descriptions for time-independent plasticity and time-dependent creep are normally used. The boundary-integral equation method was recently applied for the first time to such problems. A very efficient numerical implementation of the method with a linear description of the relevant variables over each boundary element and a newly developed Euler type time-integration scheme with automatic time-step control for time integration is presented. Numerical results for plates in plane stress with and without cutouts, under different loading histories, are presented. A combined creep-plasticity constitutive theory with state variables is used to model material behavior. The results are more accurate and are obtained with much less computational effort compared to a previous attempt with an uniform description of variables over each boundary element and a predictor--corrector scheme for time-integration. The computer program developed is quite general and can handle plane stress problems for plates of arbitrary shapes subjected to arbitrary time-histories of loadings. The numerical results presented in the paper are for certain illustrative problems.

Research Organization:
Cornell Univ., Ithaca, NY (USA). Dept. of Theoretical and Applied Mechanics
DOE Contract Number:
EY-76-S-02-2733
OSTI ID:
5940965
Report Number(s):
COO-2733-20
Country of Publication:
United States
Language:
English