1.

Record Nr.

UNINA9910338249903321

Autore

Martinec Zdeněk

Titolo

Principles of Continuum Mechanics : A Basic Course for Physicists / / by Zdeněk Martinec

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2019

ISBN

3-030-05390-3

Edizione

[1st ed. 2019.]

Descrizione fisica

1 online resource (XIX, 247 p. 19 illus., 1 illus. in color.)

Collana

Nečas Center Series, , 2523-3343

Disciplina

531

Soggetti

Differential equations

Mechanics

Mechanics, Applied

Field theory (Physics)

Differential equations, Partial

Ordinary Differential Equations

Solid Mechanics

Classical and Continuum Physics

Partial Differential Equations

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

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.

Sommario/riassunto

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.