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This paper establishes a defect model of thermoelectric materials that the oblique multi‐field loads are applied along an arbitrary direction with the crack initiated from a circular hole, and gives both analytical solutions and finite element method (FEM) simulation. On the one hand, in virtue of the conformal mapping function and the Cauchy integral formula, the analytical solutions of electric...
Based on the theory of quasicrystal (QC) with piezoelectric effect, the general solutions of a two‐dimensional hexagonal QC under the thermo‐electric loadings are derived by using the strict operator theory and the generalized Almansi theorem. Based on the general solutions, two potential functions are introduced, and the basic solutions of QC are obtained according to the boundary conditions of the...
General solutions for the semi‐infinite space of two‐dimensional (2D) piezoelectric quasicrystals (QCs) are acquired by means of the potential theory method and the generalized Almansi's theorem. Then based on the fundamental solutions of the concentrated loadings case, the frictionless contact problem in a semi‐infinite of 2D hexagonal piezoelectric QCs is addressed by using the superposition principle...
This article proposes an analytical model of two perfectly conducting punches acting on piezoelectric/piezomagnetic materials with anisotropy. For six types of distinct or repeated roots, related auxiliary function are obtained. The closed‐form solutions of the reduced integral equations are derived for two electrically‐conducting and magnetically‐conducting flat punches. The stress, electric displacement...
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