Boundary integral formulations for three-dimensional anisotropic piezoelectric solids

DOI10.1007/BF00350262zbMath0826.73066OpenAlexW2319550964MaRDI QIDQ1892676

Yanyan Li

Publication date: 22 November 1995

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00350262

zbMATH Keywords

Fourier transformGreen's functionsspherical cavityreciprocal relationsgallium arsenideline integral solutionsuniform traction

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Boundary element methods applied to problems in solid mechanics (74S15) Electromagnetic effects in solid mechanics (74F15)

Related Items (16)

Isotropic-BEM coupled with a local point interpolation method for the solution of 3D-anisotropic elasticity problems ⋮ Analysis of cracked piezoelectric solids by a mixed three-dimensional BE approach ⋮ A BEM analysis of fracture mechanics in 2D anisotropic piezoelectric solids. ⋮ 3D BEM for the general piezoelectric solids ⋮ Axisymmetric solutions for the multi-layered transversely isotropic piezoelectric medium ⋮ A fast dual boundary element method for 3D anisotropic crack problems ⋮ On the conventional boundary integral equation formulation for piezoelectric solids with defects or of thin shapes. ⋮ Green's functions and boundary element method for transversely isotropic piezoelectric materials ⋮ 3-D and 2-D dynamic Green's functions and time-domain bies for piezoelectric solids ⋮ Point temperature solution for a penny-shaped crack in an infinite transversely isotropic thermo-piezo-elastic medium ⋮ Three-dimensional BEM for piezoelectric fracture analysis ⋮ 3D explicit-BEM fracture analysis for materials with anisotropic multifield coupling ⋮ A simple solution procedure to 3D-piezoelectric problems: isotropic BEM coupled with a point collocation method ⋮ On the simple-solution method and non-singular nature of the BIE/BEM -- a review and some new results ⋮ A boundary element method for transient piezoelectric analysis ⋮ Analysis of thin piezoelectric solids by the boundary element method

Cites Work

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• Three-dimensional eigenfunction analysis of a crack in a piezoelectric material
• Three-dimensional analysis of an ellipsoidal inclusion in a piezoelectric material
• Fracture mechanics for piezoelectric ceramics
• Contact of isotropic square plates with rigid spherical indentors
• Micromechanics predictions of the effective electroelastic moduli of piezoelectric composites
• Numerical evaluation of derivatives of the anisotropic piezoelectric Green's functions
• Green's functions and the non-uniform transformation problem in a piezoelectric medium
• Efficient implementation of anisotropic three dimensional boundary-integral equation stress analysis

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