Titlebook: Variational Principles of Continuum Mechanics; I. Fundamentals Victor Berdichevsky Book 2009 The Editor(s) (if applicable) and The Author(s

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Statics of a Geometrically Nonlinear Elastic BodyIn the geometrically nonlinear case, displacements and their gradients are not small. The major new feature which that brings into the theory is non-convexity of the energy functional.

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Dynamics of Elastic BodiesThe extrapolation to dynamics of the minimization principles formulated above encounters difficulties, the essence of which can be observed for systems with one degree of freedom.

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Ideal Incompressible FluidConsider a continuum in some vessel, .. Continuum occupies the entire vessel at the initial instant, ... Let us prescribe the initial and the final positions of each point of the continuum

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Motion of Rigid Bodies in FluidsConsider in some vessel, ., a linearly viscous isotropic incompressible fluid. The fluid occupies the entire vessel and contains a rigid body which can move in the fluid (Fig. 13.1). At some instant, the body occupies a region . and has a translational velocity, ..

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Victor BerdichevskyConcise and understandable book about variational principles of continuum mechanics.Accessible to applied mathematicians, physicists and engineers who have an interest in continuum mechanics.Interesti

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