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Boundary-integral equation formulation for time-dependent inelastic deformation in metals

Abstract

The mathematical structure of various constitutive relations proposed in recent years for representing time-dependent inelastic deformation behavior of metals at elevated temperatues has certain features which permit a simple formulation of the three-dimensional inelasticity problem in terms of real time rates. A direct formulation of the boundary-integral equation method in terms of rates is discussed for the analysis of time-dependent inelastic deformation of arbitrarily shaped three-dimensional metallic bodies subjected to arbitrary mechanical and thermal loading histories and obeying constitutive relations of the kind mentioned above. The formulation is based on the assumption of infinitesimal deformations. Several illustrative examples involving creep of thick-walled spheres, long thick-walled cylinders, and rotating discs are discussed. The implementation of the method appears to be far easier than analogous BIE formulations that have been suggested for elastoplastic problems.
Publication Date:
Jan 01, 1977
Product Type:
Journal Article
Reference Number:
ERA-04-023919; EDB-79-037463
Resource Relation:
Journal Name: Int. J. Mech. Sci.; (United Kingdom); Journal Volume: 19
Subject:
36 MATERIALS SCIENCE; CYLINDERS; DEFORMATION; NICKEL; SPHERES; BOUNDARY CONDITIONS; CREEP; INTEGRAL EQUATIONS; METALS; SHAPE; SHELLS; STRAINS; STRESSES; THICKNESS; THREE-DIMENSIONAL CALCULATIONS; TIME DEPENDENCE; WALLS; CONFIGURATION; DIMENSIONS; ELEMENTS; EQUATIONS; MECHANICAL PROPERTIES; TRANSITION ELEMENTS; 360103* - Metals & Alloys- Mechanical Properties
OSTI ID:
6427848
Research Organizations:
Cornell Univ., Ithaca, NY
Country of Origin:
United Kingdom
Language:
English
Other Identifying Numbers:
Journal ID: CODEN: IMSCA
Submitting Site:
TIC
Size:
Pages: 713-724
Announcement Date:
Feb 01, 1979

Citation Formats

Kumar, V, and Mukherjee, S. Boundary-integral equation formulation for time-dependent inelastic deformation in metals. United Kingdom: N. p., 1977. Web. doi:10.1016/0020-7403(77)90057-1.
Kumar, V, & Mukherjee, S. Boundary-integral equation formulation for time-dependent inelastic deformation in metals. United Kingdom. doi:10.1016/0020-7403(77)90057-1.
Kumar, V, and Mukherjee, S. 1977. "Boundary-integral equation formulation for time-dependent inelastic deformation in metals." United Kingdom. doi:10.1016/0020-7403(77)90057-1. https://www.osti.gov/servlets/purl/10.1016/0020-7403(77)90057-1.
@misc{etde_6427848,
title = {Boundary-integral equation formulation for time-dependent inelastic deformation in metals}
author = {Kumar, V, and Mukherjee, S}
abstractNote = {The mathematical structure of various constitutive relations proposed in recent years for representing time-dependent inelastic deformation behavior of metals at elevated temperatues has certain features which permit a simple formulation of the three-dimensional inelasticity problem in terms of real time rates. A direct formulation of the boundary-integral equation method in terms of rates is discussed for the analysis of time-dependent inelastic deformation of arbitrarily shaped three-dimensional metallic bodies subjected to arbitrary mechanical and thermal loading histories and obeying constitutive relations of the kind mentioned above. The formulation is based on the assumption of infinitesimal deformations. Several illustrative examples involving creep of thick-walled spheres, long thick-walled cylinders, and rotating discs are discussed. The implementation of the method appears to be far easier than analogous BIE formulations that have been suggested for elastoplastic problems.}
doi = {10.1016/0020-7403(77)90057-1}
journal = {Int. J. Mech. Sci.; (United Kingdom)}
volume = {19}
journal type = {AC}
place = {United Kingdom}
year = {1977}
month = {Jan}
}