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Dong, C. Y.; Lo, S. H.; Antes, H.

Fracture analysis in 2D magneto-electro-elastic media by the boundary element method. (English) Zbl 1162.74485

Comput. Mech. 41, No. 2, 207-217 (2008).
Summary: An integral formulation for 2D cracked infinite anisotropic magneto-electro-elastic media is presented. Based on the method proposed by F. Garcia-Sanchez et al. [Anisotropic and piezoelectric materials fracture analysis by BEM. Comput Struct 83, 804-820 (2005)], the hypersingular kernels are analytically transformed into weakly singular and regular integrals with known analytical solution. Special quadratic discontinuous crack tip elements are employed to model the singular characteristics of the stresses, electric displacements and magnetic inductions. The extended stress intensity factors at the crack tips are calculated using the extended discontinuous displacements at crack tip elements based on one point extended displacement formulation. Some results for curved cracks in magneto-electro-elastic media are also presented.

Cited in 4 Documents

MSC:

74S15 Boundary element methods applied to problems in solid mechanics
74R10 Brittle fracture
74F15 Electromagnetic effects in solid mechanics
74G70 Stress concentrations, singularities in solid mechanics

Keywords:

magneto-electro-elastic media; boundary element method; cracks; stress intensity factor
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Full Text: DOI

References:

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