Analytical Solution for Anisotropic Elastic Medium Due to Small-Diameter Overcoring Using Cylindrical Measuring Device

This paper presents general solutions for piezoelectric materials and anisotropic materials subjected to arbitrary loads at the boundary. General solutions are provided by using complex functions based on Lekhnitskii formalism. In the analysis, similarities of fundamental equation between piezoelectric materials and anisotropic materials are shown. By defining new similarity-based complex functions, expressions of mechanical and electrical quantities are derived by analogous form. It is shown that expression forms of electric displacement in piezoelectric materials are corresponding to those of out-of-plane share stress in anisotropic materials. And stress distribution, electric displacement distribution and coupling effect are shown by graphical representation from several analysis results.

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Analysis of piezoelectric materials and anisotropic materials subjected to arbitrary loads at the boundary (Similar formulation in elliptical plate problem and elliptical cavity problem)

Sasaki

Tane

Kabeyasawa

2014

Transactions of the JSME (In Japanese)

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Similar Analysis of Piezoelectric Materials and Anisotropic Materials with Elliptical Cavity Subjected to Uniform Loads at Infinity

Sasaki

Tane

Kabeyasawa

2015

J. Soc. Mat. Sci., Japan

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Analytical Solution for Anisotropic Elastic Medium Due to Small-Diameter Overcoring Using Cylindrical Measuring Device

Cited by 2 publications

References 10 publications

Analysis of piezoelectric materials and anisotropic materials subjected to arbitrary loads at the boundary (Similar formulation in elliptical plate problem and elliptical cavity problem)

Analysis of piezoelectric materials and anisotropic materials subjected to arbitrary loads at the boundary (Similar formulation in elliptical plate problem and elliptical cavity problem)

Similar Analysis of Piezoelectric Materials and Anisotropic Materials with Elliptical Cavity Subjected to Uniform Loads at Infinity

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