TY - JOUR
T1 - Numerical analysis of edge singularities in three-dimensional elasticity
AU - Yosibash, Zohar
PY - 1997
Y1 - 1997
N2 - A numerical method is described for the computation of eigenpairs which characterize the exact solution of linear elastostatic problems in three-dimensions in the vicinity of edge singularities. These may be caused by re-entrant corners, abrupt changes in boundary conditions or material properties. Such singularities are of great interest from the point of view of failure initiation: The eigenpairs characterize the straining modes and their amplitudes quantify the amount of energy residing in particular straining modes. For this reason, failure theories directly or indirectly involve the eigenpairs and their amplitudes. This paper addresses the problem of determining the edge eigenpairs numerically on the basis of the modified Steklov formulation (presented in Reference 1 in a 2-D framework) in conjunction with the p-version of the finite element method. Numerical results are presented for several cases including Isotropic as well as anisotropic multi-material interfaces.
AB - A numerical method is described for the computation of eigenpairs which characterize the exact solution of linear elastostatic problems in three-dimensions in the vicinity of edge singularities. These may be caused by re-entrant corners, abrupt changes in boundary conditions or material properties. Such singularities are of great interest from the point of view of failure initiation: The eigenpairs characterize the straining modes and their amplitudes quantify the amount of energy residing in particular straining modes. For this reason, failure theories directly or indirectly involve the eigenpairs and their amplitudes. This paper addresses the problem of determining the edge eigenpairs numerically on the basis of the modified Steklov formulation (presented in Reference 1 in a 2-D framework) in conjunction with the p-version of the finite element method. Numerical results are presented for several cases including Isotropic as well as anisotropic multi-material interfaces.
KW - Delamination
KW - Failure/fracture analysis
KW - Finite element methods
KW - Multi-material interfaces
KW - Singularities
KW - Steklov method
KW - Three-dimensional elasticity
KW - p-version
UR - http://www.scopus.com/inward/record.url?scp=0031376364&partnerID=8YFLogxK
U2 - 10.1002/(SICI)1097-0207(19971230)40:24<4611::AID-NME276>3.0.CO;2-P
DO - 10.1002/(SICI)1097-0207(19971230)40:24<4611::AID-NME276>3.0.CO;2-P
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AN - SCOPUS:0031376364
SN - 0029-5981
VL - 40
SP - 4611
EP - 4632
JO - International Journal for Numerical Methods in Engineering
JF - International Journal for Numerical Methods in Engineering
IS - 24
ER -