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摘要:
In this paper, a J-integral formula and numerical calculation method are presented, which confirm the path independence of a J-integral, considering the mixed-mode fracture in a chemo-mechanical coupled medium. The J(k)-integral denotes a two-dimensional vector consisting of the components J(1) and J(2). Using the Equivalent Domain Integral (EDI) method, the chemo-mechanical coupled J(2)-integral, with an equivalent domain form that includes both a surface integral and a line integral, is deduced using a poroelastical model. Based on a semi analytical method, an auxiliary (J) over bar (2)-integral is derived to develop a finite element calculation program. By choosing two characteristic lengths, near the crack tip, the mixed-mode fracture parameters, K-I, K-II and T-s (T stress) at the crack tip, can be calculated. The mixed-mode fracture problems, which are related to center-cracked and edge-cracked plates, are numerically studied for certain chemo-mechanical coupled boundary conditions. The accuracy of this method is verified with numerical examples, which shows the path-independence of the J integral for chemo-mechanical coupling. The stress fields of two different cracked hydrogel plates are analyzed with different boundary conditions under the chemo-mechanical coupled mixed-mode fracture. This work provides new insights into the mixed-mode fracture mechanics of a chemo-mechanical coupled medium.
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来源 :
THEORETICAL AND APPLIED FRACTURE MECHANICS
ISSN: 0167-8442
年份: 2021
卷: 112
5 . 3 0 0
JCR@2022
ESI学科: ENGINEERING;
ESI高被引阀值:87
JCR分区:1
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