Variational Principles of Continuum Mechanics

Concise and understandable book about variational prinmciples of continuum mechanics Accessible to applied mathematicians, physicists and engineers who have an interest in continuum mechanics Interesting innovative textbook for graduate students

Contenu

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.