Abstract
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 arbitrary direction epsilon phi can be separated into each deformation mode contribution. 2) It is shown that epsilon phi 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 epsilon phi 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 epsilon phi is discussed.
| Original language | English |
|---|---|
| Pages (from-to) | 1285-1292 |
| Number of pages | 8 |
| Journal | Nippon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A |
| Volume | 53 |
| Issue number | 491 |
| Publication status | Published - 1987 Jul |
| Externally published | Yes |
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ASJC Scopus subject areas
- Mechanical Engineering
Cite this
SEPARATION OF EACH DEFORMATION MODE CONTRIBUTION FROM TOTAL CRACK ENERGY DENSITY AND ITS EVALUATION BY PATH-INDEPENDENT INTEGRAL. / Watanabe, Katsuhiko; Utsunomiya, Takao.
In: Nippon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A, Vol. 53, No. 491, 07.1987, p. 1285-1292.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - SEPARATION OF EACH DEFORMATION MODE CONTRIBUTION FROM TOTAL CRACK ENERGY DENSITY AND ITS EVALUATION BY PATH-INDEPENDENT INTEGRAL.
AU - Watanabe, Katsuhiko
AU - Utsunomiya, Takao
PY - 1987/7
Y1 - 1987/7
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 arbitrary direction epsilon phi can be separated into each deformation mode contribution. 2) It is shown that epsilon phi 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 epsilon phi 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 epsilon phi 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 arbitrary direction epsilon phi can be separated into each deformation mode contribution. 2) It is shown that epsilon phi 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 epsilon phi 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 epsilon phi is discussed.
UR - http://www.scopus.com/inward/record.url?scp=0023382887&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0023382887&partnerID=8YFLogxK
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 -