Overview

The scale that concerns the practitioner in mechanics is usually qualified as macroscopic. Indeed, applications are rarely much below the human scale, and in order to be relevant models must be constructed on a similar scale, several orders of magnitude greater than the objects that are normally attributed to the physicist's sphere of interest. The mechanicist is therefore aware of the limits of these models, no matter how elegant their mathematical formulation may be, when the time comes far experimental validation. The mechanicist has a deep concern for the microscopic phenomena at the heart of what is being modelled, exposed by the physicist's research, which can today explain a wide range of material behaviour. The aim of this book is to present the general ideas behind continuum mechanics, thermoelasticity and one-dimensional media. Our approach to constructing mechanical models and modelling forces is based upon the principle oi virtual work. There are several advantages to thismethod. To begin with, it clearly emphasises the key role played by geometrical modelling, leading to mechanically consistent presentations in a systematic way. In addition, by requiring rigorous thought and clear formulation of hypotheses, it identifies the inductive steps and emphasises the need for validation, despite its axiomatic appearance. Moreover, once mastered, it will serve as a productive tool in the reader's later research career. This duality is used in the chapter devoted to variational methods for the solution of thermoelastic problems.

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From the reviews of the first edition: The book contains an introduction to the fundamental concepts of kinematics, dynamics, and thermodynamics within the context of non-linear field theories. ... All in all, the book is an original and inventive introduction into the fundamentals of continuum mechanics ... . (Technische Mechanik, Vol.24 (1), 2004) What makes the book different from others is a unified treatment of forces acting on a continuum by using the principle of virtual work as well as an original choice of material presentation including, in particular, problems at the end of each chapter. ... In its present form, the handbook could be used world-wide in universities and polytechnic schools as a textbook on continuum mechanics. Those who have been doing research in the field for years, should also find the book useful for teaching purposes. (Jozef Ignaczak, Zentralblatt MATH, Vol. 981, 2002)

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