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

Abstract

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.

Authors:
;
Publication Date:
Research Org.:
Cornell Univ., Ithaca, NY (USA). Dept. of Theoretical and Applied Mechanics
OSTI Identifier:
5940965
Report Number(s):
COO-2733-20
DOE Contract Number:  
EY-76-S-02-2733
Resource Type:
Technical Report
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; BOUNDARY-VALUE PROBLEMS; MATHEMATICAL MODELS; METALS; PLATES; STAINLESS STEEL-304; BOUNDARY CONDITIONS; CREEP; DEFORMATION; ELASTICITY; PLASTICITY; STRESSES; TIME DEPENDENCE; ALLOYS; CHROMIUM ALLOYS; CHROMIUM STEELS; CHROMIUM-NICKEL STEELS; CORROSION RESISTANT ALLOYS; ELEMENTS; HEAT RESISTANT MATERIALS; HEAT RESISTING ALLOYS; IRON ALLOYS; IRON BASE ALLOYS; MATERIALS; MECHANICAL PROPERTIES; NICKEL ALLOYS; STAINLESS STEELS; STEELS; TENSILE PROPERTIES; 360103* - Metals & Alloys- Mechanical Properties

Citation Formats

Morjaria, M., and Mukherjee, S. Improved boundary-integral equation method for time-dependent inelastic deformation in metals. United States: N. p., 1979. Web. doi:10.2172/5940965.
Morjaria, M., & Mukherjee, S. Improved boundary-integral equation method for time-dependent inelastic deformation in metals. United States. doi:10.2172/5940965.
Morjaria, M., and Mukherjee, S. Thu . "Improved boundary-integral equation method for time-dependent inelastic deformation in metals". United States. doi:10.2172/5940965. https://www.osti.gov/servlets/purl/5940965.
@article{osti_5940965,
title = {Improved boundary-integral equation method for time-dependent inelastic deformation in metals},
author = {Morjaria, M. and Mukherjee, S.},
abstractNote = {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.},
doi = {10.2172/5940965},
journal = {},
number = ,
volume = ,
place = {United States},
year = {1979},
month = {2}
}