03914nam 22006615 450 991025423600332120200705143631.03-319-31925-610.1007/978-3-319-31925-4(CKB)3710000000685967(EBL)4530176(DE-He213)978-3-319-31925-4(MiAaPQ)EBC4530176(PPN)194077500(EXLCZ)99371000000068596720160519d2016 u| 0engur|n|---|||||txtrdacontentcrdamediacrrdacarrierAdvanced Finite Element Technologies /edited by Jörg Schröder, Peter Wriggers1st ed. 2016.Cham :Springer International Publishing :Imprint: Springer,2016.1 online resource (239 p.)CISM International Centre for Mechanical Sciences, Courses and Lectures,0254-1971 ;566Description based upon print version of record.3-319-31923-X Includes bibliographical references at the end of each chapters.Least-squares mixed finite elements for hyperelasticity -- Discretization methods for solids undergoing finite deformations -- On the use of anisotropic triangles with mixed finite elements: application to an "immersed" boundary with the incompressible Stokes problem -- Stress-based finite element methods in linear and nonlinear solid mechanics -- Topics of mathematical fundamentals, mixed methods in elasticity, and plasticity -- Discontinuous Galerkin methods ND reduced order models.The book presents an overview of the state of research of advanced finite element technologies. Besides the mathematical analysis, the finite element development and their engineering applications are shown to the reader. The authors give a survey of the methods and technologies concerning efficiency, robustness and performance aspects. The book covers the topics of mathematical foundations for variational approaches and the mathematical understanding of the analytical requirements of modern finite element methods. Special attention is paid to finite deformations, adaptive strategies, incompressible, isotropic or anisotropic material behavior and the mathematical and numerical treatment of the well-known locking phenomenon. Beyond that new results for the introduced approaches are presented especially for challenging nonlinear problems.CISM International Centre for Mechanical Sciences, Courses and Lectures,0254-1971 ;566Computer mathematicsApplied mathematicsEngineering mathematicsMechanicsMechanics, AppliedComputational Mathematics and Numerical Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M1400XMathematical and Computational Engineeringhttps://scigraph.springernature.com/ontologies/product-market-codes/T11006Theoretical and Applied Mechanicshttps://scigraph.springernature.com/ontologies/product-market-codes/T15001Computer mathematics.Applied mathematics.Engineering mathematics.Mechanics.Mechanics, Applied.Computational Mathematics and Numerical Analysis.Mathematical and Computational Engineering.Theoretical and Applied Mechanics.620.00151535Schröder Jörgedthttp://id.loc.gov/vocabulary/relators/edtWriggers Peteredthttp://id.loc.gov/vocabulary/relators/edtMiAaPQMiAaPQMiAaPQBOOK9910254236003321Advanced Finite Element Technologies1539986UNINA