Analysis of an interface crack of arbitrary shape in a three-dimensional transversely isotropic magnetoelectrothermoelastic bimaterialpart 1: Theoretical solution

作者：Zhao, M. H.; Dang, H. Y.; Fan, C. Y.; Chen, Z. T.^*

来源：Journal of Thermal Stresses, 2017, 40(8): 929-952.

DOI：10.1080/01495739.2016.1268940

• Boundary integral-differential equations
• extended displacement discontinuities
• extended stress intensity factors
• fundamental solutions
• interface crack
• magnetoelectrothermoelastic bimaterial
• transversely isotropic

The extended displacement discontinuity boundary integral-differential equation method is developed for the analysis of an interface crack of arbitrary shape in a three-dimensional (3D), transversely isotropic magnetoelectrothermoelastic bimaterial. The extended displacement discontinuities (EDDs) include conventional displacement discontinuities, electric potential discontinuity, magnetic potential discontinuity as well as temperature discontinuity across the interface crack faces, correspondingly, while the extended stresses represent conventional mechanical stresses, electric displacement, magnetic induction, heat flux, etc. By virtue of the potential functions and Hankel transformation technique, the fundamental solutions for unit-point EDDs on the interface in a 3D transversely isotropic magnetoelectrothermoelastic bimaterial are derived, then the extended displacements and stresses are all obtained in terms of EDDs. An analysis method is proposed based on the analogy with the solution in an isotropic thermoelastic bimaterial. The singular indices and the singular behaviors of the near crack-tip fields are studied. The combined extended stress intensity factors for three new fracture modes are derived in terms of the EDDs and are compared with those in magnetoelectroelastic bimaterials.

• 出版日期2017
• 单位郑州大学