Variational Principles of Continuum Mechanics I. Fundamentals /

• Main Author: Berdichevsky, Victor. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
• Series: Interaction of Mechanics and Mathematics,
• Subjects: Engineering.; Mathematics.; Mechanics.; Engineering mathematics.; Materials.; Mechanical engineering.; Continuum Mechanics and Mechanics of Materials.; Appl.Mathematics/Computational Methods of Engineering.; Applications of Mathematics.; Mechanical Engineering.; Fluid- and Aerodynamics.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-540-88467-5

The book reviews the two features of the variational approach: its use as a universal tool to describe physical phenomena and as a source for qualitative and quantitative methods of studying particular problems. Berdichevskys work differs from other books on the subject in focusing mostly on the ph...

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.