04596nam 22006855 450 991030025530332120200629222701.01-4939-3133-410.1007/978-1-4939-3133-0(CKB)3710000000521678(SSID)ssj0001585134(PQKBManifestationID)16264898(PQKBTitleCode)TC0001585134(PQKBWorkID)14866403(PQKB)11740177(DE-He213)978-1-4939-3133-0(MiAaPQ)EBC6312637(MiAaPQ)EBC5594784(Au-PeEL)EBL5594784(OCoLC)1076232891(PPN)190519797(EXLCZ)99371000000052167820151130d2015 u| 0engurnn|008mamaatxtccrFundamentals of the Mechanics of Solids /by Paolo Maria Mariano, Luciano Galano1st ed. 2015.New York, NY :Springer New York :Imprint: Birkhäuser,2015.1 online resource (XXIII, 422 p. 235 illus.) Bibliographic Level Mode of Issuance: Monograph1-4939-3132-6 Preface -- Bodies, Deformations, and Strain Measures -- Observers -- Forces, Torques, Balances -- Constitutive Structures -- Basic Aspects -- Topics in Linear Elasticity -- The de Saint-Venant Problem -- Critical Conditions: Yield Criteria -- Rod Models -- The Euler's Analysis of Critical Loads: Bifurcation Phenomena -- Appendix: Tensor Algebra and Tensor Calculus -- Suggestions for Further Reading -- Index.This distinctive textbook aims to introduce readers to the basic structures of the mechanics of deformable bodies, with a special emphasis on the description of the elastic behavior of simple materials and structures composed by elastic beams.  The authors take a deductive rather than inductive approach and start from a few first, foundational principles.  A wide selection of exercises, many with hints and solutions, are provided throughout and organized in a way that will allow readers to form a link between abstract mathematical concepts and real-world applications. The text begins with the definition of bodies and deformations, keeping the kinematics of rigid bodies as a special case; the authors also distinguish between material and spatial metrics, defining each one in the pertinent space.  Subsequent chapters cover observers and classes of possible changes; forces, torques, and related balances, which are derived from the invariance under classical changes in observers of the power of the external actions over a body, rather than postulated a priori; constitutive structures; variational principles in linear elasticity; the de Saint-Venant problem; yield criteria and a discussion of their role in the representation of material behavior; and an overview of some bifurcation phenomena, focusing on the Euler rod.  An appendix on tensor algebra and tensor calculus is included for readers who need a brief refresher on these topics. Fundamentals of the Mechanics of Solids is primarily intended for graduate and advanced undergraduate students in various fields of engineering and applied mathematics.  Prerequisites include basic courses in calculus, mathematical analysis, and classical mechanics.Mathematical physicsMechanicsMechanics, AppliedMathematical Applications in the Physical Scienceshttps://scigraph.springernature.com/ontologies/product-market-codes/M13120Solid Mechanicshttps://scigraph.springernature.com/ontologies/product-market-codes/T15010Mathematical Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/M35000Classical Mechanicshttps://scigraph.springernature.com/ontologies/product-market-codes/P21018Mathematical physics.Mechanics.Mechanics, Applied.Mathematical Applications in the Physical Sciences.Solid Mechanics.Mathematical Physics.Classical Mechanics.510Mariano Paolo Mariaauthttp://id.loc.gov/vocabulary/relators/aut755511Galano Lucianoauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910300255303321Fundamentals of the Mechanics of Solids2508622UNINA