The fundamental solutions for an infinite plate with an elliptical inclusion under uniaxial tensile stress are deduced by using the Muskhelishvili'complex potential theory and progression method.

With the continuity conditions of stress and displacement on material interface,complex potentials solutions for a bi-material infinite plate with an elliptical inclusion under uniaxial tension are given.

The interaction among a screw dislocation, circular inclusion and interface crack or elliptical inclusion and interface crack under remote uniform heat flux is mainly researched in this paper.

Machinery-electric coupling field and its singularity of electrically permeable cracks for piezoelcetric materials are stu- died using complex function method and considering electric field strength and electric displacement inside elliptical inclusion as constants, namely early research results, for the failure or unsta- bility of piezoelectric devices caused by material defects.

To enhance the characteristics of transducer and energy-transfered device made of piezoelectric materials,machinery-electric coupling field and its singularity of electrically permeable cracks for piezoelcetric materials are studied using complex function method and considering electric field strength and electric displacement inside elliptical inclusion as constants,namely early research results,for the failure or unstability of piezoelectric devices caused by material defects.

Using the complex potential method in the plane theory of elasticity of an anisotropic body, the series solution of finite anisotropic thin plate containing an elliptical inclusion is proposed with the help of Faber series.

A hybrid element with an elliptical inclusion for anisotropic materials is obtained by using the hybrid variable principle, and the element efficiency is verified by numerical examples.

The complex potential method for an anisotropic plate containing an elliptical inclusion and a hybrid variational principle are used to establish a hybrid stress element which assorts with the conformal finite element.

The displacement and stress field in the element are the complex variable series solutions satisfying the equilibrium equations,geometric equations and constitutive laws. The assumed complex variable series solutions satisfy exactly the continuum of stress conditions and the consistency of displacement along the elliptical inclusion boundary,while the assumed displacements along the element outer boundaries are the same as the conventional finite element. The axis of the elliptical inclusion can coincide with the material's principal axis or not.

By use of the stress free conditions on crack and the continuity conditions of stress and displacement on ideal bonded material interface, the stress field of an bi-material infinite plate with an elliptical inclusion and a deminfinite interface crack are given on the base of the complex potentials solutions obtained above. And the corresponding stress intensity factor K is given.

Brady there are two errors, namely, (1) the stress component parallel to the minor axis within the elliptical inclusion is not a tensile stress, under far field compression in two directions;

This paper described in detail three methods--finite element, small parameter and elliptical inclusion methods, which are sed to compute the effect of the dilatancy on tidal tilt and strain.

The present work shows that electroelastic fields within the elliptical inclusion are still uniformly distributed and that the elliptical inclusion is an equi-potential body when the piezoelectric matrix is subject to remote uniform electro-mechanical loading.

In this paper, two-dimensional electroelastic analyses are performed for isotropic piezoelectric materials containing a multilayered elliptical inclusion under out-of-plane mechanical and electrical loads at infinity.

Analyses of isotropic piezoelectric materials with multilayered elliptical inclusion under out-of-plane shear loadings

Then, we give exact solutions for an elliptical inclusion, and approximate solutions for a square inclusion and an equilateral triangle inclusion, respectively.

Analytical solution for Eshelby's problem of an anisotropic non-elliptical inclusion remains a challenging problem.

This note deals with the infinitesimal plane analysis of the displacement and stress field in an infinite block with an elliptical hole which is deformed by a rigid elliptical inclusion.

The elastic inclusion problem, that is the calculation of the stress-strain field and the elastic energy of an anisotropic elastic medium with an elastic inclusion contained in it, is one of the important problems in materials science.Especially, the variation of the elastic energy of the system with the orientations of the inclusion in the medium (i. e. the orientational dependence of the elastic energy), and the orientation of the inclusion corresponding to the minimum of the elastic energy of the system are...

The elastic inclusion problem, that is the calculation of the stress-strain field and the elastic energy of an anisotropic elastic medium with an elastic inclusion contained in it, is one of the important problems in materials science.Especially, the variation of the elastic energy of the system with the orientations of the inclusion in the medium (i. e. the orientational dependence of the elastic energy), and the orientation of the inclusion corresponding to the minimum of the elastic energy of the system are of great theoretical land practical significance in the investigations of the habit orientations of the phase transformations and precipitate particles, the prediction of the microcracking direction as well as the optimum distribution of the reinforcement fibers in the composites.Based on the "Point Force-Line Force Method" given by H. Y. Yang and Y.T. Chou in 1976, a general computer program is compiled, which is applicable to the numerical calculation of the elastic energy of the elliptical inclusion oriented in any direction of the anisotropic medium for the generalized plane problem. The values of the elastic energy of the elliptic inclusions with their cylinder axes along the <100>, <110> and <111> directions in cubic metals Fe, Nb and Al were computed, and the dependence of elastic energies on the orientation of cross elliptic sections, which was rotating around their cylindcr axes, has been illustrated explicitly in graphic charts.The following conclusions arc deduced from the calculation results:1. The system has its elastic energy when the inclusion is lying on the crystal planes and oriented along the crystal directions of low indexes.2. The elastic energy of the system with the inclusion subjected to pure shear strain is 1/3-1/2 of that with the inclusion subjected to principal strain.3. The elastic energy of the anisotropic system with thin plate inclusions is very small. As the elliptic index e=b/a→0 the elastic energy of the system approaches nil.4. If the boundary energy could be neglected, the new phase and the precipitate with the lowest elastic energy would take the thin plate shape and shear mode in phase transformations and precipitation.

For a two-dimensional infinite medium containing an elliptical inclusion of different material, elastic stress distribution formulas are derived. It is pointed out that in the inclusion theory of B.T. Brady there are two errors, namely, (1) the stress component parallel to the minor axis within the elliptical inclusion is not a tensile stress, under far field compression in two directions; (2) shear stress within the inclusion is neither a function of position nor a second order quantity...

For a two-dimensional infinite medium containing an elliptical inclusion of different material, elastic stress distribution formulas are derived. It is pointed out that in the inclusion theory of B.T. Brady there are two errors, namely, (1) the stress component parallel to the minor axis within the elliptical inclusion is not a tensile stress, under far field compression in two directions; (2) shear stress within the inclusion is neither a function of position nor a second order quantity and thus can not be neglected.

Using kelvin's solution of elasticity for the three dimensional infinite medium, the formulas of displacement and stress fields caused by tor-sional in a infinite uniform elastic solid are derived and the boundaryd integral equations for the torsion problem of cicular shaft are established. The computer program and the stress coneentration factors for the circular cylinder with a spherical or elliptical inclusion are work out. The laws of strees concentration factors varying with indusions having differentt...

Using kelvin's solution of elasticity for the three dimensional infinite medium, the formulas of displacement and stress fields caused by tor-sional in a infinite uniform elastic solid are derived and the boundaryd integral equations for the torsion problem of cicular shaft are established. The computer program and the stress coneentration factors for the circular cylinder with a spherical or elliptical inclusion are work out. The laws of strees concentration factors varying with indusions having differentt material shape and dimension are reasearched. When the shear modulus of the solid inclusion becomes zero, the results are consistent with H.Z. Neuber's approximate solution very well. The present work may be used for engineers to design shafts.