Geometrical Foundations of Continuum Mechanics An Application to First- and Second-Order Elasticity and Elasto-Plasticity /

• Main Author: Steinmann, Paul (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2015.
• Series: Lecture Notes in Applied Mathematics and Mechanics, 2
• Subjects: Engineering.; Applied mathematics.; Engineering mathematics.; Differential geometry.; Continuum mechanics.; Continuum Mechanics and Mechanics of Materials.; Differential Geometry.; Appl.Mathematics/Computational Methods of Engineering.; Applications of Mathematics.

This book illustrates the deep roots of the geometrically nonlinear kinematics of generalized continuum mechanics in differential geometry. Besides applications to first- order elasticity and elasto-plasticity an appreciation thereof is particularly illuminating for generalized models of continuum m...

Table of Contents:

• Part I Prologue
• Part II Differential Geometry
• Part III Nonlinear Continuum Mechanics
• Part IV Epilogue.