Variational Principles of Continuum Mechanics I. Fundamentals /

• Main Author: Berdichevsky, Victor (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
• Series: Interaction of Mechanics and Mathematics,
• Subjects: Engineering.; Applied mathematics.; Engineering mathematics.; Mechanics.; Fluids.; Continuum mechanics.; Mechanical engineering.; Continuum Mechanics and Mechanics of Materials.; Appl.Mathematics/Computational Methods of Engineering.; Applications of Mathematics.; Mechanical Engineering.; Fluid- and Aerodynamics.

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. Berdichevsky’s work differs from other books on the subject in focusing mostly on the ph...

Table of Contents:

• Fundamentals
• Variational Principles
• Thermodynamics
• Continuum Mechanics
• Principle of Least Action in Continuum Mechanics
• Direct Methods of Calculus of Variations
• 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.