An Expedition to Continuum Theory

• Main Author: Müller, Wolfgang H. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Dordrecht : Springer Netherlands : Imprint: Springer, 2014.
• Series: Solid Mechanics and Its Applications, 210
• Subjects: Engineering.; Continuum physics.; Mechanics.; Mechanics, Applied.; Materials science.; Theoretical and Applied Mechanics.; Classical Continuum Physics.; Materials Science, general.

This book introduces field theory as required in solid and fluid mechanics as well as in electromagnetism. It also presents the necessary mathematical framework, namely tensor algebra and tensor calculus, by using an inductive approach, which makes it particularly suitable for beginners. In general,...

Table of Contents:

• 1 Prologue
• 2 Coordinate transformations
• 3 Balances (in particular in Cartesian systems
• 4 Spatial derivatives of fields
• 5 Balance equations in skew curvilinear coordinate systems
• 6 Constitutive equations in arbitrary coordinate systems
• 7 A first glance on field equations
• 8 Observers and frames of reference in classical continuum theory
• 9 Problems of linear elasticity
• 10 Selected problems for Newtonian and Maxwellian fluids
• 11 Introduction to time-independent plasticity theory
• 12 Entropy
• 13 Fundamentals of electromagnetic field theory
• Picture sources
• Subject index.