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

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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 -