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Materials - Mechanics | Variational Principles of Continuum Mechanics

Variational Principles of Continuum Mechanics

Berdichevsky, Victor

2010, 900p. In 2 volumes, not available separately.

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ISBN 978-3-540-88465-1

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  • Concise and comprehensible coverage of variational principles of continuum mechanics
  • An innovative textbook for graduate students
  • Accessible to applied mathematicians, physicists and engineers who have an interest in continuum mechanics

Content Level » Research

Keywords » Calculus of Variations - Continuum Mechanics - Tensor Variations - Variational Principles

Related subjects » Applications - Classical Continuum Physics - Computational Intelligence and Complexity - Mechanical Engineering - Mechanics

Table of contents 

I Fundamentals.- Variational Principles.- Thermodynamics.- Continuum Mechanics.- Principle of least action in continuum mechanics.- Direct methods of calculus of variations.- II Variational features of classical continuum models.- Statics of a geometrically linear elastic body.- Statics of a geometrically nonlinear elastic body.- Dynamics of elastic bodies.- Ideal incompressible fluid.- Ideal compressible fluid.- Steady motion of ideal fluid and elastic body.- Principle of least dissipation.- Motion of rigid bodies in fluids.

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