Abeyaratne R., Knowles J.K. Evolution of Phase Transitions. A Continuum Theory

Clarendon Press, OXFORD, 2005, 397 Pages The study of fluid dynamics is a central theme in modern applied mathematics. It is used to model a vast range of physical phenomena and plays a vital role in science and engineering. This textbook provides a clear introduction to both the theory and application of fluid dynamics that is suitable for all undergraduates coming to the subject for the first time. Students need only a basic knowledge of vecto...

Springer, 2009. 586 p. ISBN-10:3540884661 The book reviews the two features of the variational approach: its use as a universal tool to describe physical phenomena and as a source for qualitative and quantitative methods of studying particular problems. Berdichevsky’s work differs from other books on the subject in focusing mostly on the physical origin of variational principles as well as establishing their interrelations. For example, the Gibb...

Springer, 2009. 430 p. ISBN:3540884688 The book reviews the two features of the variational approach: its use as a universal tool to describe physical phenomena and as a source for qualitative and quantitative methods of studying particular problems. Berdichevsky’s work differs from other books on the subject in focusing mostly on the physical origin of variational principles as well as establishing their interrelations. For example, the Gibbs p...

Cambridge University Press, 279 pages, 1997, ISBN-10: 052157272X This book provides a look at the theory behind the programs engineers use for the computer simulation of nonlinear structural behaviour. It establishes the mathematical foundations for the development of computer programs that can predict the behaviour of mechanical and structural components. After a thorough but succinct introduction, the book delves into mathematical preliminarie...

Trafford Publishing, 2001. - 373 pages. Introduction to Tensor Calculus and Continuum Mechanics is an advanced College level mathematics text. The first part of the text introduces basic concepts, notations and operations associated with the subject area of tensor calculus. The material presented is developed at a slow pace with a detailed explanation of the many tensor operations. The first half of the text concludes with an introduction to the...

Springer-Verlag, Berlin, 2008, 661 pages This book presents an introduction into the entire science of Continuum Mechanics in three parts. Part I: Continuum Mechanics introduces into the Foundations using tensors in Cartesian coordinate systems, classical theory of elasticity, and fluid mechanics. Part II: Mechanics of Materials has chapters on viscoelasticity, plasticity, principles of constitutive modelling, and thermodynamics. Part III prese...

Butterworth-Heinemann, 3rd edition, 571 pages, 1996, ISBN-10: 0750628944 Introduction to Continuum Mechanics is a recently updated and revised text which is perfect for either introductory courses in an undergraduate engineering curriculum or for a beginning graduate course.Continuum Mechanics studies the response of materials to different loading conditions. The concept of tensors is introduced through the idea of linear transformation in a s...

3rd ed. Butterworth-Heinemann, 1999. -556 pp. New material has been added to this third edition text for a beginning course in continuum mechanics. Additions include anisotropic elastic solids, finite deformation theory, some solutions of classical elasticity problems, objective tensors and objective time derivatives of tensors, constitutive equations for viscoelastic fluids, and equations in cylindrical and spherical coordinates. Many examples a...

University of Colorado, 263 pages, 1998. The Lecture notes covers topics on: Mathemathical Preliminaries: Part 1 Vectors and Tensors, Kinetics, Mathemathical Preliminaries: Part 2 Vector Differentiation, Kinematic, Mathemathical Preliminaries: Part 3 Vector Integrals, Fundamental Laws of Continuum Mechnaics, Consequtive Equations: Part 1 Linear, Intermezzo, Boundary Value Problems in Elasticity, Some Elasticity Problems, Theoretical Strength of P...

Cambridge University Press, 2008, 335 pages This book presents the nonlinear theory of continuum mechanics and demonstrates its use in developing nonlinear computer formulations for large displacement dynamic analysis. Basic concepts used in continuum mechanics are presented and used to develop nonlinear general finite element formulations that can be effectively used in large displacement analysis. The book considers two nonlinear finite elem...