TY - JOUR
T1 - Quantitative justification of linearization in nonlinear hencky material problems
AU - Han, Weimin
AU - Huang, Hong-ci
PY - 1997
Y1 - 1997
N2 - The classical linear elasticity theory is based on the assumption that the size of the displacement gradient tensor is small. In many engineering applications, although the basic assumption is violated due to, e.g., corner singularities, the linear elasticity system is still used to approximate the reality. In this paper, we give a-posteriori error analysis for the effect of the linearization on solutions of nonlinear Hencky materials. A-posteriori error estimates for the effect of idealizations on solutions of more realistic materials will be given in forthcoming papers
AB - The classical linear elasticity theory is based on the assumption that the size of the displacement gradient tensor is small. In many engineering applications, although the basic assumption is violated due to, e.g., corner singularities, the linear elasticity system is still used to approximate the reality. In this paper, we give a-posteriori error analysis for the effect of the linearization on solutions of nonlinear Hencky materials. A-posteriori error estimates for the effect of idealizations on solutions of more realistic materials will be given in forthcoming papers
UR - http://www.scopus.com/inward/record.url?scp=0031125457&partnerID=8YFLogxK
U2 - 10.1080/01630569708816763
DO - 10.1080/01630569708816763
M3 - Journal article
AN - SCOPUS:0031125457
SN - 0163-0563
VL - 18
SP - 325
EP - 341
JO - Numerical Functional Analysis and Optimization
JF - Numerical Functional Analysis and Optimization
IS - 3-4
ER -