03483nam 22006495 450 991033824990332120211109144017.03-030-05390-310.1007/978-3-030-05390-1(CKB)4100000008347235(DE-He213)978-3-030-05390-1(MiAaPQ)EBC5918129(PPN)236524593(EXLCZ)99410000000834723520190531d2019 u| 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierPrinciples of Continuum Mechanics A Basic Course for Physicists /by Zdeněk Martinec1st ed. 2019.Cham :Springer International Publishing :Imprint: Birkhäuser,2019.1 online resource (XIX, 247 p. 19 illus., 1 illus. in color.)Nečas Center Series,2523-33433-030-05389-X 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.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.Nečas Center Series,2523-3343Differential equationsMechanicsMechanics, AppliedField theory (Physics)Differential equations, PartialOrdinary Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12147Solid Mechanicshttps://scigraph.springernature.com/ontologies/product-market-codes/T15010Classical and Continuum Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P2100XPartial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Differential equations.Mechanics.Mechanics, Applied.Field theory (Physics)Differential equations, Partial.Ordinary Differential Equations.Solid Mechanics.Classical and Continuum Physics.Partial Differential Equations.531531Martinec Zdeněkauthttp://id.loc.gov/vocabulary/relators/aut781694MiAaPQMiAaPQMiAaPQBOOK9910338249903321Principles of Continuum Mechanics1733500UNINA