03519nam 22006735 450 991029968900332120250609110720.03-319-16495-310.1007/978-3-319-16495-3(CKB)3710000000378059(EBL)2096959(SSID)ssj0001465521(PQKBManifestationID)11935258(PQKBTitleCode)TC0001465521(PQKBWorkID)11472265(PQKB)10143265(DE-He213)978-3-319-16495-3(MiAaPQ)EBC2096959(PPN)184895790(MiAaPQ)EBC3108642(EXLCZ)99371000000037805920150319d2015 u| 0engur|n|---|||||txtccrGeometric Continuum Mechanics and Induced Beam Theories /by Simon R. Eugster1st ed. 2015.Cham :Springer International Publishing :Imprint: Springer,2015.1 online resource (146 p.)Lecture Notes in Applied and Computational Mechanics,1613-7736 ;75Description based upon print version of record.3-319-16494-5 Includes bibliographical references at the end of each chapters and index.Introduction -- Part I Geometric Continuum Mechanics -- Part II Induced Beam Theories.This research monograph discusses novel approaches to geometric continuum mechanics and introduces beams as constraint continuous bodies. In the coordinate free and metric independent geometric formulation of continuum mechanics as well as for beam theories, the principle of virtual work serves as the fundamental principle of mechanics. Based on the perception of analytical mechanics that forces of a mechanical system are defined as dual quantities to the kinematical description, the virtual work approach is a systematic way to treat arbitrary mechanical systems. Whereas this methodology is very convenient to formulate induced beam theories, it is essential in geometric continuum mechanics when the assumptions on the physical space are relaxed and the space is modeled as a smooth manifold. The book addresses researcher and graduate students in engineering and mathematics interested in recent developments of a geometric formulation of continuum mechanics and a hierarchical development of induced beam theories.Lecture Notes in Applied and Computational Mechanics,1613-7736 ;75MechanicsMechanics, AppliedField theory (Physics)Solid Mechanicshttps://scigraph.springernature.com/ontologies/product-market-codes/T15010Classical and Continuum Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P2100XSolid Mechanicshttps://scigraph.springernature.com/ontologies/product-market-codes/T15010Mechanics.Mechanics, Applied.Field theory (Physics)Solid Mechanics.Classical and Continuum Physics.Solid Mechanics.624.17723R. Eugster Simonauthttp://id.loc.gov/vocabulary/relators/aut1062644MiAaPQMiAaPQMiAaPQBOOK9910299689003321Geometric Continuum Mechanics and Induced Beam Theories2527371UNINA