TY - JOUR
T1 - Finite element analysis of surface instability in hypo-elastic solids
AU - Bardet, J. P.
N1 - Funding Information:
The financial support of the National Science Foundation (grant MSM 8657999)a nd the Defense Nuclear Agency (under the contractD NA 001-86-C-005w9 ith Agbabian Associates, Los Angeles) is acknowledged. The author is thankful to Dr. Pat Reddy of Agbabian Associates, Prof. Vardoulakis of the University of Minnesota, Minneapolis, and Prof. Wellford of the University of Southern California, Los Angeles, for their respectivec ontribu-tion to this work.
PY - 1990/2
Y1 - 1990/2
N2 - The surface instability of hypo-elastic solids is detected by using numerical stability techniques similar to those used to address the buckling problems of shell and truss structures. The performance of the proposed method is tested by comparing numerical to analytical results in the case of a simple boundary value problem-the plane strain compression test of blocks made of isotropic and anisotropic hypo-elastic materials. Although tested in a simple example, the proposed method can be applied to detect surface instability of more complicated boundary value problems, which are encountered in the fields of solids mechanics, structural geology and rock mechanics.
AB - The surface instability of hypo-elastic solids is detected by using numerical stability techniques similar to those used to address the buckling problems of shell and truss structures. The performance of the proposed method is tested by comparing numerical to analytical results in the case of a simple boundary value problem-the plane strain compression test of blocks made of isotropic and anisotropic hypo-elastic materials. Although tested in a simple example, the proposed method can be applied to detect surface instability of more complicated boundary value problems, which are encountered in the fields of solids mechanics, structural geology and rock mechanics.
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U2 - 10.1016/0045-7825(90)90002-4
DO - 10.1016/0045-7825(90)90002-4
M3 - Article
AN - SCOPUS:0025385187
VL - 78
SP - 273
EP - 296
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0374-2830
IS - 3
ER -