A note on the divergence problem arising in calculation of Green’s function for a 2D piezoelectric thin film strip with free boundaries and containing straight line defects: Fourier approach for bodies of cubic symmetry

Bojar, Konrad

doi:10.1016/j.ijengsci.2010.07.004

Cited by 3 publications

(1 citation statement)

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“…Explicit solutions for general anisotropic piezoelectric material problems are not easy to obtain, recent works include: Bojar [2010Bojar [ , 2011 with results given as the Fourier integral, Li et al [2012] employed an energy method, Talebanpour and Hematiyan [2014] due with governing equations based on Prandtl's stress and electric displacement potential functions, and Ansari et al [2014] studied vibration behavior on the basis of the modified couple stress theory.…”

Section: Introductionmentioning

confidence: 99%

EXPLICIT SOLUTIONS FOR AN ANISOTROPIC PIEZOELECTRIC HALF-SPACE SUBJECT TO LINEARLY-VARYING SURFACE LOADINGS ALONG x₃-DIRECTION

Chung¹

2014

Int. J. Appl. Mechanics

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Explicit results for a piezoelectric half-space x 2 ≥ 0 subject to linearly-varying surface loadings along x 3 axis are derived. The extended Stroh formalism is employed to provide three-dimensional solutions with the generalized displacement vector u expressed as a function of (z, x 2 , x 3 ). A general polynomial solution for u with order of m in x 3 is suggested and it provides a particularly efficient solution for half-space problem with loadings on the surface. A simple uniform surface loading is considered first to clarify the derivations. Then explicit solution in case of a linearly-varying surface loading along x 3 -direction is obtained. In addition, the Green's function for a piezoelectric half-space with a linearly-varying surface line loading along x 3 -axis is constructed.

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Section: Introductionmentioning

confidence: 99%

EXPLICIT SOLUTIONS FOR AN ANISOTROPIC PIEZOELECTRIC HALF-SPACE SUBJECT TO LINEARLY-VARYING SURFACE LOADINGS ALONG x₃-DIRECTION

Chung¹

2014

Int. J. Appl. Mechanics

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A note on the divergence problem arising in calculation of Green’s function for a 2D piezoelectric thin film strip containing straight line defects and free boundaries: Fourier approach for bodies of unrestricted anisotropy

Bojar¹

2011

International Journal of Engineering Science

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Electroelastic fields of the general line source in periodically layered piezoelectric structure

Nowacki

Drabik

Alshits

2016

JAE

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A note on the divergence problem arising in calculation of Green’s function for a 2D piezoelectric thin film strip with free boundaries and containing straight line defects: Fourier approach for bodies of cubic symmetry

Cited by 3 publications

References 33 publications

EXPLICIT SOLUTIONS FOR AN ANISOTROPIC PIEZOELECTRIC HALF-SPACE SUBJECT TO LINEARLY-VARYING SURFACE LOADINGS ALONG x₃-DIRECTION

EXPLICIT SOLUTIONS FOR AN ANISOTROPIC PIEZOELECTRIC HALF-SPACE SUBJECT TO LINEARLY-VARYING SURFACE LOADINGS ALONG x₃-DIRECTION

A note on the divergence problem arising in calculation of Green’s function for a 2D piezoelectric thin film strip containing straight line defects and free boundaries: Fourier approach for bodies of unrestricted anisotropy

Electroelastic fields of the general line source in periodically layered piezoelectric structure

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A note on the divergence problem arising in calculation of Green’s function for a 2D piezoelectric thin film strip with free boundaries and containing straight line defects: Fourier approach for bodies of cubic symmetry

Cited by 3 publications

References 33 publications

EXPLICIT SOLUTIONS FOR AN ANISOTROPIC PIEZOELECTRIC HALF-SPACE SUBJECT TO LINEARLY-VARYING SURFACE LOADINGS ALONG x3-DIRECTION

EXPLICIT SOLUTIONS FOR AN ANISOTROPIC PIEZOELECTRIC HALF-SPACE SUBJECT TO LINEARLY-VARYING SURFACE LOADINGS ALONG x3-DIRECTION

A note on the divergence problem arising in calculation of Green’s function for a 2D piezoelectric thin film strip containing straight line defects and free boundaries: Fourier approach for bodies of unrestricted anisotropy

Electroelastic fields of the general line source in periodically layered piezoelectric structure

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Product

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About

EXPLICIT SOLUTIONS FOR AN ANISOTROPIC PIEZOELECTRIC HALF-SPACE SUBJECT TO LINEARLY-VARYING SURFACE LOADINGS ALONG x₃-DIRECTION

EXPLICIT SOLUTIONS FOR AN ANISOTROPIC PIEZOELECTRIC HALF-SPACE SUBJECT TO LINEARLY-VARYING SURFACE LOADINGS ALONG x₃-DIRECTION