Principles of Continuum Mechanics A Basic Course for Physicists

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 idea...

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Bibliographic Details
Main Author: Martinec, Zdeněk
Format: eBook
Language:English
Published: Cham Springer International Publishing 2019, 2019
Edition:1st ed. 2019
Series:Nečas Center Series
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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300 |a XIX, 247 p. 19 illus., 1 illus. in color  |b online resource 
505 0 |a Geometry of Deformation -- Basic Kinematics -- Measures of Stress -- Fundamental Conservation Principles -- Moving Reference Frames -- Constitutive Equations -- Entropy Principles -- Classical Linear Elasticity -- Infinitesimal Deformation of a Body with a Finite Pre-Stress 
653 |a Solid Mechanics 
653 |a Mechanics, Applied 
653 |a Classical and Continuum Physics 
653 |a Continuum physics 
653 |a Partial Differential Equations 
653 |a Partial differential equations 
653 |a Mechanics 
653 |a Ordinary Differential Equations 
653 |a Differential equations 
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520 |a 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