Nonlinear Continuum Mechanics and Large Inelastic Deformations

• Main Author: Dimitrienko, Yuriy I. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Dordrecht : Springer Netherlands, 2011.
• Series: Solid Mechanics and Its Applications, 174
• Subjects: Engineering.; Continuum physics.; Computational intelligence.; Continuum mechanics.; Mechanical engineering.; Materials science.; Continuum Mechanics and Mechanics of Materials.; Mechanical Engineering.; Computational Intelligence.; Classical Continuum Physics.; Materials Science, general.

The book provides a rigorous axiomatic approach to continuum mechanics under large deformation. In addition to the classical nonlinear continuum mechanics – kinematics, fundamental laws, the theory of functions having jump discontinuities across singular surfaces, etc. - the book presents the theory...

Table of Contents:

• Preface
• Introduction. Fundamental Axioms of Continuum Mechanics
• 1. Kinematics of Continua
• 2. Balance Laws
• 3. Constitutive Equations
• 4. Relations at Singular Surfaces
• 5. Elastic Continua at Large Deformations
• 6. Continua of the Differential Type
• 7. Viscoelastic Continua at Large Deformations
• 8. Plastic Continua at Large Deformations
• References
• Basic Notation
• Subject Index.