Korn's inequalities have played a central role in the development of linear elasticity, not only
in connection with the basic theoretical issues such as existence and uniqueness, but also …

This review article gives a historical overview of some topics related to the classical 2D
biharmonic problem. This problem arises in many physical studies concerning bending of …

The main purpose of this chapter is to give a derivation, which is mathematically precise,
physically natural, and conceptually simple, of the quasilinear system of partial differential …

This book surveys significant modern contributions to the mathematical theories of
generalized heat wave equations. The first three chapters form a comprehensive survey of …

The purpose of this research is to investigate the effects of material inhomogeneity on the
response of linearly elastic isotropic hollow circular cylinders or disks under uniform internal …

Our study is concerned with a generalization of the principle of Saint-Venant in the context of
the theory of elastic bodies with a dipolar structure. It is an extension of the form of this …

We now apply thermodynamic principles to field theories with memory. For general
nonlinear, nonisothermal theories, we assume that a free energy is given, this being the …

This book is intended to be an introduction to elasticity theory. It is as sumed that the student,
before reading this book, has had courses in me chanics (statics, dynamics) and strength of …

Qualitative Estimates For Partial Differential Equations: An Introduction describes an
approach to the use of partial differential equations (PDEs) arising in the modelling of …

This article presents a study of the implications of negative Poisson's ratios in the design of
components subjected to stress. When the Poisson's ratio becomes negative, stress …