Principles of Continuum Mechanics: A Basic Course for Physicists

✍ Scribed by Zdeněk Martinec

• Publisher: Springer International Publishing; Birkhäuser
• Year: 2019
• Tongue: English
• Leaves: 256
• Series: Nečas Center Series
• Edition: 1st ed.
• Category: Library

✦ Synopsis

This book addresses the basic concepts of continuum mechanics, that is, the classical field theory of deformable bodies. The theory is systematically developed, from the kinematics to the balance equations, the material theory, and the entropy principles. In turn, the linear-elastic solids, the ideal liquid and the Newtonian liquid are presented in detail as concrete applications. The book concludes by covering the theory of small motions in a medium with a finite prestress. In general, the emphasis is on presenting the content in a clear and straightforward way that requires only an elementary grasp of calculus, linear algebra, and Newtonian mechanics. The book is intended for students of physics, mechanics, engineering and the geosciences, as well as applied mathematics, with a year or more of college calculus behind them.

✦ Table of Contents

Front Matter ....Pages i-xix
Geometry of Deformation (Zdeněk Martinec)....Pages 1-33
Basic Kinematics (Zdeněk Martinec)....Pages 35-47
Measures of Stress (Zdeněk Martinec)....Pages 49-58
Fundamental Conservation Principles (Zdeněk Martinec)....Pages 59-75
Moving Reference Frames (Zdeněk Martinec)....Pages 77-93
Constitutive Equations (Zdeněk Martinec)....Pages 95-137
Entropy Principles (Zdeněk Martinec)....Pages 139-167
Classical Linear Elasticity (Zdeněk Martinec)....Pages 169-184
Infinitesimal Deformation of a Body with a Finite Pre-stress (Zdeněk Martinec)....Pages 185-210
Back Matter ....Pages 211-247

✦ Subjects

Mathematics; Ordinary Differential Equations; Classical and Continuum Physics; Partial Differential Equations