TY - JOUR
T1 - A path-independent integral for fracture of solids under combined electrochemical and mechanical loadings
AU - Haftbaradaran, Hamed
AU - Qu, Jianmin
PY - 2014/11
Y1 - 2014/11
N2 - In this study, we first demonstrate that the J-integral in classical linear elasticity becomes path-dependent when the solid is subjected to combined electrical, chemical and mechanical loadings. We then construct an electro-chemo-mechanical J-integral that is path-independent under such combined multiple driving forces. Further, we show that this electro-chemo-mechanical J-integral represents the rate at which the grand potential releases per unit crack growth. As an example, the path-independent nature of the electro-chemo-mechanical J-integral is demonstrated by solving the problem of a thin elastic film delaminated from a thick elastic substrate.
AB - In this study, we first demonstrate that the J-integral in classical linear elasticity becomes path-dependent when the solid is subjected to combined electrical, chemical and mechanical loadings. We then construct an electro-chemo-mechanical J-integral that is path-independent under such combined multiple driving forces. Further, we show that this electro-chemo-mechanical J-integral represents the rate at which the grand potential releases per unit crack growth. As an example, the path-independent nature of the electro-chemo-mechanical J-integral is demonstrated by solving the problem of a thin elastic film delaminated from a thick elastic substrate.
KW - Chemo-mechanics
KW - Crack
KW - Fracture mechanics
KW - J-integral
KW - Path-independent integral
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U2 - 10.1016/j.jmps.2014.06.007
DO - 10.1016/j.jmps.2014.06.007
M3 - Article
AN - SCOPUS:84905010756
SN - 0022-5096
VL - 71
SP - 1
EP - 14
JO - Journal of the Mechanics and Physics of Solids
JF - Journal of the Mechanics and Physics of Solids
IS - 1
ER -