Relation between the Maxwell equations and boundary conditions in piezoelectric and piezomagnetic fracture mechanics and its application

Hao, Tian-hu

doi:10.2140/jomms.2015.10.447

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Relation between the Maxwell equations and boundary conditions in piezoelectric and piezomagnetic fracture mechanics and its application

Hao Tian-hu

Vol. 10 (2015), No. 4, 447–458

DOI: 10.2140/jomms.2015.10.447

Abstract

This paper presents the relation between the Maxwell equations and the boundary conditions in piezoelectric and piezomagnetic fracture mechanics. In addition, considering that the case after deformation (current configuration in nonlinear elasticity) is very important for these conditions, the significance of them has been studied for this case. The application of them has also been researched. Moreover, the stress field of the solid material caused by the electric field has been discussed. In the conclusion, it is briefly discussed how to determine the crack open or not, which is of vital importance for semipermeable and impermeable boundary conditions.

Keywords

Maxwell equations, electric-magnetic boundary condition

Milestones

Received: 8 March 2014

Revised: 4 October 2014

Accepted: 27 April 2015

Published: 28 September 2015

Authors

Hao Tian-hu
State Key Lab for Modification of Polymer Materials and Chemical Fibers Donghua University P.O. Box 220 Shanghai, 200051 China

Vol. 10, No. 4, 2015

Hao Tian-hu

Abstract

Keywords

Milestones

Authors