TY - JOUR
T1 - Path independent integrals in equilibrium electro-chemo-elasticity
AU - Zhang, Min
AU - Qu, Jianmin
AU - Rice, James R.
N1 - Publisher Copyright:
© 2017 Elsevier Ltd
PY - 2017/10
Y1 - 2017/10
N2 - By using the Noether's first theorem, this paper constructed two types of path-independent integrals in equilibrium electro-chemo-elasticity and proved their uniqueness. These path-independent integrals are the electro-chemo-elastic extensions of the classical J- and L-integrals in elasticity. Similar to their elastic counterparts, the electro-chemo-elastic J- and L-integrals represent energy release when a crack or a cavity undergoes a translation and rotation, respectively. Also shown in this paper is that the M-integral in elasticity cannot be extended to electro-chemo-elasticity. Results of this study established a theoretical foundation for energy conservation laws in equilibrium electro-chemo-elasticity. Such conservation laws are useful in modeling various phenomena in electro-chemo-elastic systems. In addition, the path-independent integrals obtained here provide a theoretical tool for understanding and a practical tool for numerical evaluation of singular fields.
AB - By using the Noether's first theorem, this paper constructed two types of path-independent integrals in equilibrium electro-chemo-elasticity and proved their uniqueness. These path-independent integrals are the electro-chemo-elastic extensions of the classical J- and L-integrals in elasticity. Similar to their elastic counterparts, the electro-chemo-elastic J- and L-integrals represent energy release when a crack or a cavity undergoes a translation and rotation, respectively. Also shown in this paper is that the M-integral in elasticity cannot be extended to electro-chemo-elasticity. Results of this study established a theoretical foundation for energy conservation laws in equilibrium electro-chemo-elasticity. Such conservation laws are useful in modeling various phenomena in electro-chemo-elastic systems. In addition, the path-independent integrals obtained here provide a theoretical tool for understanding and a practical tool for numerical evaluation of singular fields.
KW - Conservation laws
KW - Electro-chemo-mechanics
KW - Multi-field interaction
KW - Path-independent integral
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U2 - 10.1016/j.jmps.2017.07.001
DO - 10.1016/j.jmps.2017.07.001
M3 - Article
AN - SCOPUS:85025475442
SN - 0022-5096
VL - 107
SP - 525
EP - 541
JO - Journal of the Mechanics and Physics of Solids
JF - Journal of the Mechanics and Physics of Solids
ER -