D. Ieşan

A theory of thermoelastic materials with voids

SummaryA linear theory of thermoelastic materials with voids is considered. First, some general theorems (uniqueness, reciprocal and variational theorems) are established. Then, the acceleration waves and some problems of equilibrium are studied.

ON A THEORY OF THERMOELASTICITY WITH MICROTEMPERATURES

The article is concerned with a linear theory for elastic materials with inner structure whose particles, in addition to the classical displacement and temperature fields, possess microtemperatures. In the first part of the article we derive an existence result for the dynamical theory and establish the continuous dependence of solutions on the initial data and body loads. Then we consider the equilibrium theory and present a uniqueness result and a solution for the field equations. The theory is illustrated with the solution of the problem of thermal stresses in an elastic space with a spherical cavity.

On the linear coupled thermoelasticity with two temperatures

ZusammenfassungIn dieser Arbeit wird die lineare Theorie der Thermoelastizität zweier verschiedener Temperaturen betrachtet. Es werden ein Eindeutigkeitssatz, Reziprozitätssätze und ein Variationssatz bewiesen.

On the equilibrium theory of microstretch elastic solids

Abstract This paper is concerned with the static theory of microstretch elastic solids introduced by Eringen [2]. First, a counterpart of the Boussinesq-Somigliana-Galerkin solution in the classical elastostatics is presented. The problem of an infinite solid subject to concentrated body loads is solved. Then, representations of the Somigliana type are established. The potentials of single- and double-layer are used to reduce the boundary value problems to singular integral equations. Existence and uniqueness results are established.

On Saint-Venant's problem

The relaxed Saint-Venant problem.- Theory of loaded cylinders: The problems of Almansi and Michell.- Anisotropic materials.- Heterogeneous media.- Saint-Venants problem for cosserat elastic bodies.

Classical and generalized models of elastic rods

Preface Saint-Venants Problem Preliminaries Formulation of Saint-Venants Problem Saint-Venants Solutions Unified Treatment Plane Deformation Properties of the Solutions to Saint-Venants Problem New Method of Solving Saint-Venants Problem Minimum Energy Characterizations of Solutions Truesdells Problem Saint-Venants Principle Theory of Loaded Cylinders Problems of Almansi and Michell Almansi-Michell Problem Almansi Problem Characterization of Solutions Direct Method Applications Deformation of Nonhomogeneous Cylinders Preliminaries Plane Strain Problem: Auxiliary Plane Strain Problems Extension and Bending of Nonhomogeneous Cylinders Torsion Flexure Elastic Cylinders Composed of Different Nonhomogeneous and Isotropic Materials Piecewise Homogeneous Cylinders Applications Anisotropic Bodies Preliminaries Generalized Plane Strain Problem Extension, Bending, and Torsion Flexure of Anisotropic Cylinders Minimum Energy Characterizations of Solutions Global Strain Measures Problem of Loaded Cylinders Orthotropic Bodies Plane Strain Problem of Orthotropic Bodies Deformation of Elastic Cylinders Composed of Nonhomogeneous and Anisotropic Materials Cylinders Composed of Different Orthotropic Materials Cosserat Elastic Continua Basic Equations Plane Strain Saint-Venants Problem for Cosserat Cylinders Minimum Principles Global Strain Measures Theory of Loaded Cosserat Cylinders Nonhomogeneous Cosserat Cylinders Plain Strain Problems Saint-Venants Problem Problems of Almansi and Michell Anisotropic Cosserat Cylinders Cylinders Composed of Different Elastic Materials Porous Elastic Bodies Basic Equations Plane Strain Extension, Bending, and Torsion of Porous Elastic Cylinders Cylinders Composed of Different Porous Materials Applications Answers to Selected Problems Bibliography Index Exercises appear at the end of each chapter.

THERMAL STRESSES IN COMPOSITE CYLINDERS

Abstract This paper is concerned with the static problem of the linear theory of thermo-elasticity for a composite cylinder. The cylinder is assumed to be occupied by different inhomogeneous and anisotropic elastic materials. The method described is also used to study the deformation of a circular cylinder made of two different homogeneous and isotropic materials.

ON THE THEORY OF THERMOELASTICITY WITHOUT ENERGY DISSIPATION

A solution of Galerkin type is used to determine the fundamental solutions in the linear theory of thermoelasticity without energy dissipation. A continuous dependence result is also established

Some theorems in the theory of elastic materials with voids

The linear theory of elastic materials with voids is considered. Some basic theorems concerning the existence and uniqueness of solution, the reciprocity relations and the variational characterization of the solution are presented.

Existence theorems in the theory of micropolar elasticity

Abstract The present paper is concerned with some existence theorems in the static theory of plane micropolar strain. The existence theorems are derived by the method of potentials.