The traditional finite element method (FEM) often requires a large number of refined meshes
to analyze the mechanical behavior of geometric discontinuities, its computational efficiency …

In this work, a crack opening model is proposed to study the role of electrostatic tractions in a
cracked semipermeable piezoelectric material. The extended finite element method (XFEM) …

Piezoelectric materials are widely used in various engineering applications such as
electromechanical actuators, vibrators, energy harvesters, sensors, transducers, and …

This paper develops integral equations and boundary element method for determination of
2D electro-elastic state of solids containing cracks, thin voids and inclusions. It proves that …

Interaction of Physicomechanical Fields in Bodies with Thin Structural Inhomogeneities: A
Survey | Journal of Mathematical Sciences Skip to main content SpringerLink Account Menu Find …

A weakly singular, symmetric Galerkin boundary element method capable of solving
problems of isolated cracks in three-dimensional, linear anisotropic piezoelectric, infinite …

Based on initial nonlinear constitutive equations, we establish the extended displacement
and traction boundary integral equations for a piezoelectric medium with a volume electric …

A weakly singular, symmetric Galerkin boundary element method (SGBEM) is established to
compute stress and electric intensity factors for isolated cracks in three-dimensional …

In this paper, we first derive the fundamental solutions for uniformly distributed extended
displacement discontinuities on triangular and rectangular elements in the isotropic plane of …

Strongly singular integral equations of order four have applications in fracture mechanics,
and Gegenbauer polynomials have never been used to solve these equations. This …