TY - JOUR

T1 - Piezoelectric analogy of generalized torsion in anisotropic elasticity

AU - Chen, Tungyang

AU - Yen, Wen Jin

N1 - Funding Information:
This work was supported by the National Science Council, Taiwan, under contract NSC87-2211-E-006-042.

PY - 1997

Y1 - 1997

N2 - We consider a piezoelectric body bounded by a cylindrical surface in which all cross sections are of the same geometry. Suppose on the lateral surface the body is loaded in such a way that the stress and electric displacement do not vary along the axial direction. In addition the end of the cylinder is also subjected to forces reducing to bending moments, twisting moment, axial force and electric charge. We follow Lekhnitskii's formalism to characterize the deformation of the considered problem. It is found that, when the solid possesses a material symmetry plane normal to the axial direction, the simplified field equations together with suitably chosen boundary conditions are entirely analogous to those of a generalized torsion problem in anisotropic elasticity. In particular, we show that by setting a linkage between two sets of 21 material constants, any problem in one field can be resolved as another problem in the other area.

AB - We consider a piezoelectric body bounded by a cylindrical surface in which all cross sections are of the same geometry. Suppose on the lateral surface the body is loaded in such a way that the stress and electric displacement do not vary along the axial direction. In addition the end of the cylinder is also subjected to forces reducing to bending moments, twisting moment, axial force and electric charge. We follow Lekhnitskii's formalism to characterize the deformation of the considered problem. It is found that, when the solid possesses a material symmetry plane normal to the axial direction, the simplified field equations together with suitably chosen boundary conditions are entirely analogous to those of a generalized torsion problem in anisotropic elasticity. In particular, we show that by setting a linkage between two sets of 21 material constants, any problem in one field can be resolved as another problem in the other area.

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U2 - 10.1023/A:1007426225271

DO - 10.1023/A:1007426225271

M3 - Article

AN - SCOPUS:0031346466

VL - 49

SP - 239

EP - 256

JO - Journal of Elasticity

JF - Journal of Elasticity

SN - 0374-3535

IS - 3

ER -