Mechanics of Solids Volume i

Advanced computational methods in nonlinear mechanics of solids and fluids are dealt with in this volume. Contributions consider large deformations of structures and solids, problems in nonlinear dynamics, aspects of earthquake analysis, coupled problems, convection-dominated phenomena, and compressible and incompressible viscous flows. Selected applications indicate the relevance of the analysis to the demands of industry and science. The contributors are from research institutions well-known for their work in this field.

The guideline of the book is precisely the mathematical model of mechanics. Starting from the particle (the simplest problem) and finishing with the study of dynamical systems, the book covers a wide number of problems.
This volume deals with discrete mechanical systems for particles in a number greater than the unity, as well as with continuous mechanical systems.

The guideline of the book is precisely the mathematical model of mechanics. Starting from the particle (the simplest problem) and finishing with the study of dynamical systems (including bifurcation, catastrophes and chaos), the book covers a wide number of problems (classical or new ones).

Microcontinuum field theories constitute an extension of classical field theories – of elastic bodies, deformations, electromagnetism, and the like – to microscopic spaces and short time scales. Material bodies are here viewed as collections of large numbers of deformable particles, much as each volume element of a fluid in statistical mechanics is viewed as consisting of a large number of small particles for which statistical laws are valid. Classical continuum theories are valid when the characteristic length associated with external forces or stimuli is much larger than any internal scale of the body under consideration.

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.

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