TY - JOUR
T1 - Separation of Each Deformation Mode Contribution from Total Crack Energy Density and Its Evaluation by Path-Independent Integral
AU - Watanabe, Katsuhlko
AU - Utsunomiya, Takao
PY - 1987
Y1 - 1987
N2 - Crack energy density is the parameter which is defined without any restriction on constitutive equation and is expected to successfully describe all kinds of behaviors of a crack. In this paper, the fundamental properties of crack energy density subject to mixed mode loading are discussed and, moreover, the evaluation of crack energy density by FEM is tried. The contents are as follows ; 1) It is shown that total crack energy density in an arbitraty direction ɛɸ can be separated into each deformation mode contribution. 2) It is shown that ɛɸ and each deformation mode contribution can be expressed by path independent integrals without any restriction on constitutive equation. 3) The elastic finite element analyses of ɛɸ and each deformation mode contribution are carried out using path independent integrals for a specimen under tension with a crack inclined to the loading axis. Through the results of these analyses, the evaluation method of each deformation mode contribution of ɛɸ is discussed.
AB - Crack energy density is the parameter which is defined without any restriction on constitutive equation and is expected to successfully describe all kinds of behaviors of a crack. In this paper, the fundamental properties of crack energy density subject to mixed mode loading are discussed and, moreover, the evaluation of crack energy density by FEM is tried. The contents are as follows ; 1) It is shown that total crack energy density in an arbitraty direction ɛɸ can be separated into each deformation mode contribution. 2) It is shown that ɛɸ and each deformation mode contribution can be expressed by path independent integrals without any restriction on constitutive equation. 3) The elastic finite element analyses of ɛɸ and each deformation mode contribution are carried out using path independent integrals for a specimen under tension with a crack inclined to the loading axis. Through the results of these analyses, the evaluation method of each deformation mode contribution of ɛɸ is discussed.
KW - Crack Energy Density
KW - Fracture
KW - Mixed Mode Crack
KW - Path Independent Integral
UR - http://www.scopus.com/inward/record.url?scp=0023382887&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0023382887&partnerID=8YFLogxK
U2 - 10.1299/kikaia.53.1285
DO - 10.1299/kikaia.53.1285
M3 - Article
AN - SCOPUS:0023382887
VL - 53
SP - 1285
EP - 1292
JO - Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A
JF - Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A
SN - 0387-5008
IS - 491
ER -