D. Iesan - Böcker

Problems concerning non-classical elastic solids continue to attract the attention of mathematicians, scientists and engineers. Research in this area addresses problems concerning many substances, such as crystals, polymers, composites, ceramics and blood. This comprehensive, accessible work brings together recent research in this field, and will be of great interest to mathematicians, physicists and other specialists working in this area.

This volume is concerned mainly with basic problems of the theory of thermoelasticity. Beginning with the basic laws of thermomechanics, there follows a treatment of the theory of thermoelasticity for bodies with initial stress and initial heat flux. Subsequent chapters cover the analysis of linear thermoelastodynamics and equilibrium theory. The authors conclude with a study of nonlinear thermoelasticity. On the whole, the subject matter is directed towards recent developments. The theory of thermoelasticity should be of interest both from the mathematical and the technical points of view, and relevant examples and exercises which illustrate the theory are given throughout the text. The book should be of interest to mathematicians, physicists and specialists working in the fields of thermoelasticity, elasticity, civil engineering and geophysics.

This volume is concerned with the basic problems of the theory of thermoelasticity for three models of continuous bodies: materials with voids, micropolar solids and nonsimple bodies. Beginning with the basic laws of thermodynamics, the theory of thermoelastic materials with voids is treated. Two subsequent chapters cover the analysis of the linear theory of micropolar thermoelastic bodies. The book concludes with a study of nonsimple thermoelastic materials, which are characterised by the inclusion of higher gradients of displacement in the basic postulates. Relevant examples and exercises which illustrate the theory are given throughout the text. The book should be of interest to mathematicians and specialists working in the fields of elasticity, thermoelasticity, civil engineering and geophysics.

Reflecting new developments in the study of Saint-Venant’s problem, Classical and Generalized Models of Elastic Rods focuses on the deformation of elastic cylinders for three models of continuum: classical elastic continuum, Cosserat elastic body, and porous elastic material. The author presents a method to construct Saint-Venant’s solutions, minimum energy characterizations of these solutions, and a proof of Saint-Venant’s principle. He then discusses the deformation of nonhomogenous and isotropic cylinders as well as the problem of loaded anisotropic elastic cylinders. The book also deals with the deformation of cylinders within the linearized theory of homogeneous Cosserat elastic solids, the deformation of nonhomogeneous Cosserat cylinders, and the extension, bending, and torsion of porous elastic cylinders.With numerous results not found in related texts, this book provides a unique, unified point of view in the theory of the deformation of elastic cylinders.

This volume is concerned mainly with basic problems of the theory of thermoelasticity. Beginning with the basic laws of thermomechanics, there follows a treatment of the theory of thermoelasticity for bodies with initial stress and initial heat flux. Subsequent chapters cover the analysis of linear thermoelastodynamics and equilibrium theory. The authors conclude with a study of nonlinear thermoelasticity. On the whole, the subject matter is directed towards recent developments. The theory of thermoelasticity is of considerable interest both from the mathematical and the technical points of view, and relevant examples and exercises which illustrate the theory are given throughout the text. The book should be of interest to mathematicians, physicists and specialists working in the fields of thermoelasticity, elasticity, civil engineering and geophysics.