TY - JOUR

T1 - The T-stress along a 3-D straight crack

AU - Schapira, Yaron

AU - Omer, Netta

AU - Yosibash, Zohar

N1 - Publisher Copyright:
© 2018 Elsevier Ltd

PY - 2018/10/15

Y1 - 2018/10/15

N2 - The T-stress in a three dimensional elastic domain containing a straight crack is considered. First the complete asymptotic expansion in the vicinity of the crack front, including the T-stress, is presented explicitly. Having obtained the asymptotic expansion, we compute the dual solution associated with the T-stress, and prove it must contain logarithmic terms. This dual solution is used to extend the quasi dual function method (QDFM) for the extraction of the T-stress from finite element solutions and express it as a function along the crack front. Since the stress field tends to infinity at the crack front whereas the T-stress remains constant, its extraction from finite element solutions, containing numerical errors, is a non-trivial task. We herein develop accurate and efficient methods for extracting the T-stress function along the crack edge by the QDFM. Numerical examples are provided for the computation of the T-stresses from conventional and high order finite element methods.

AB - The T-stress in a three dimensional elastic domain containing a straight crack is considered. First the complete asymptotic expansion in the vicinity of the crack front, including the T-stress, is presented explicitly. Having obtained the asymptotic expansion, we compute the dual solution associated with the T-stress, and prove it must contain logarithmic terms. This dual solution is used to extend the quasi dual function method (QDFM) for the extraction of the T-stress from finite element solutions and express it as a function along the crack front. Since the stress field tends to infinity at the crack front whereas the T-stress remains constant, its extraction from finite element solutions, containing numerical errors, is a non-trivial task. We herein develop accurate and efficient methods for extracting the T-stress function along the crack edge by the QDFM. Numerical examples are provided for the computation of the T-stresses from conventional and high order finite element methods.

KW - FEMs

KW - T-stress

KW - Three-dimensions

UR - http://www.scopus.com/inward/record.url?scp=85053866013&partnerID=8YFLogxK

U2 - 10.1016/j.engfracmech.2018.09.013

DO - 10.1016/j.engfracmech.2018.09.013

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AN - SCOPUS:85053866013

SN - 0013-7944

VL - 202

SP - 214

EP - 241

JO - Engineering Fracture Mechanics

JF - Engineering Fracture Mechanics

ER -