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1.
Inclusion of an arbitrary polygon with graded eigenstrain in an anisotropic piezoelectric half plane
This paper presents an exact closed-form solution for the Eshelby problem of a polygonal inclusion with graded eigenstrains in an anisotropic piezoelectric half plane with traction-free on its surface. Using the line-source Green’s function, the line integral is carried out analytically for the linear eigenstrain case, with the final expression involving only elementary functions. The solutions are applied to the semiconductor quantum wire (QWR) of square, triangular, and rectangular shapes, with results clearly illustrating various influencing factors on the induced fields. The exact closed-form solution should be useful to the analysis of nanoscale QWR structures where large strain and electric fields could be induced by the non-uniform misfit strain. 相似文献
2.
This paper proposes a method to solve problems for interface tunnel defects in a piecewise-homogeneous elastic material that
is under generalized plane strain and has no planes of elastic symmetry. The method is based on integral relations between
the discontinuities and sums of the components of the displacement vector and stress tensor at the interface. Closed-form
solutions are obtained for a system of interface tunnel inclusions with mixed contact conditions between the space and the
inclusions. The dependences of the indices of singularity of the solutions on orthogonal coordinate transformation are established
for different combinations of materials of monoclinic and orthorhombic systems. The effect of the antiplane component on the
behavior of the solutions is revealed
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Translated from Prikladnaya Mekhanika, Vol. 44, No. 6, pp. 36–45, June 2008. 相似文献
3.
Using a polarization method, the scattering problem for a two-dimensional inclusion embedded in infinite piezoelectric/piezomagnetic matrices is investigated. To achieve the purpose, the polarization method for a two-dimensional piezoelectric/piezo-magnetic "comparison body" is formulated. For simple harmonic motion, kernel of the polarization method reduces to a 2-D time-harmonic Green's function, which is ob-tained using the Radon transform. The expression is further simplified under condi-tions of low frequency of the incident wave and small diameter of the inclusion. Some analytical expressions are obtained. The analytical solutions for generalized piezoelec-tric/piezomagnetic anisotropic composites are given followed by simplified results for piezoelectric composites. Based on the latter results, two numerical results are provided for an elliptical cylindrical inclusion in a PZT-5H-matrix, showing the effect of different factors including size, shape, material properties, and piezoelectricity on the scattering cross-section. 相似文献
4.
Summary Green's functions of the displacement boundary value problem are derived within two-dimensional thermoelasticity for a heat
source in an infinite plane with an arbitrary shaped rigid inclusion. The following two cases are considered: either rigid-body
displacements and rigid-body rotations of the inclusion are allowed or no rigid-body displacements and no rigid-body rotations
of the inclusion are possible. To solve these problems, fundamental solutions are developed for a point heat source, for rigid-body
rotations of the inclusion, and for concentrated loads acting on the inclusion. Complex stress functions, temperature function,
a rational mapping function and the thermal dislocation method are used for the analysis. In analytical examples, distributions
of stresses are developed for an infinite plane with a rectangular rigid inclusion.
Received 5 August 1998; accepted for publication 1 December 1998 相似文献