2008
DOI: 10.1007/s10704-008-9242-2
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Analysis of fractures in 3D piezoelectric media by a weakly singular integral equation method

Abstract: A weakly singular, symmetric Galerkin boundary element method (SGBEM) is established to compute stress and electric intensity factors for isolated cracks in threedimensional, generally anisotropic, piezoelectric media. The method is based upon a weakform integral equation, for the surface traction and the surface electric charge, which is established by means of a systematic regularization procedure; the integral equation is in a symmetric form and is completely regularized in the sense that its integrand cont… Show more

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Cited by 31 publications
(7 citation statements)
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“…Finally, we remark that it would be possible to extend the method to allow for treatment of more complex material behavior such as that pertaining to the linear response of certain active materials; such an extension would, of course, require the use of an appropriate set of integral equations as a basis for the SGBEM (e.g. [39,40]). …”
Section: Discussionmentioning
confidence: 99%
“…Finally, we remark that it would be possible to extend the method to allow for treatment of more complex material behavior such as that pertaining to the linear response of certain active materials; such an extension would, of course, require the use of an appropriate set of integral equations as a basis for the SGBEM (e.g. [39,40]). …”
Section: Discussionmentioning
confidence: 99%
“…Direct generalization of the existing Somigliana identity for linear elastic media Mear 1998, Rungamornrat andMear 2008a) and linear piezoelectric media (Denda and Lua 1999, Noda 2004, Rungamornrat andMear 2008c) to the case of linear piezoelectromagnetic solids results in a boundary integral relation for the generalized displacement P at any interior point x:…”
Section: Standard Integral Relationsmentioning
confidence: 99%
“…Chen 2003a, 2003b, Qin et al 2007. Until recently, Rungamornrat and Mear (2008c) derived a weakly singular, weak form integral equation for the generalized traction and it was subsequently used as a basis to implement a weakly singular SGBEM for modeling isolated cracks in threedimensional, linear piezoelectric infinite media. Nevertheless, on the basis of a careful literature search, we can say that the extension of such results to a more general class of smart materials, e.g.…”
Section: Introductionmentioning
confidence: 99%
“…A number of works address 3D fracture mechanics under piezoelectric, piezomagnetic and magnetoelectroelastic coupling. Rungamornrat and Mear and Rungamornrat et al . derived a symmetric Galerkin BEM for 3D fracture mechanics analysis of piezoelectric solids.…”
Section: Introductionmentioning
confidence: 99%
“…A number of works address 3D fracture mechanics under piezoelectric, piezomagnetic and magnetoelectroelastic coupling. Rungamornrat and Mear [3] and Rungamornrat et al [4] derived a symmetric Galerkin BEM for 3D fracture mechanics analysis of piezoelectric solids. Zhao et al [5] presented the extended discontinuity boundary integral equation method for vertical cracks in magnetoelectroelastic medium.…”
mentioning
confidence: 99%