LEADER 04036nam 22006135 450 001 9910366607603321 005 20200703170745.0 010 $a3-030-33520-8 024 7 $a10.1007/978-3-030-33520-5 035 $a(CKB)4100000009940080 035 $a(MiAaPQ)EBC5986140 035 $a(DE-He213)978-3-030-33520-5 035 $a(EXLCZ)994100000009940080 100 $a20191126d2020 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aNovel Finite Element Technologies for Solids and Structures /$fedited by Jörg Schröder, Paulo de Mattos Pimenta 205 $a1st ed. 2020. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020. 215 $a1 online resource (202 pages) 225 1 $aCISM International Centre for Mechanical Sciences, Courses and Lectures,$x0254-1971 ;$v597 311 $a3-030-33519-4 327 $aNotes on Basic Concepts of the Finite Element Method for Elliptic Problems -- Sensitivity Analysis Based Automation of Computational Problems -- Equilibrated Stress Reconstruction and a Posteriori Error Estimation for Linear Elasticity -- A Concept for the Extension of the Assumed Stress Finite Element Method to Hyperelasticity -- Simple Equilibrium Finite Elements for Geometrically Exact Bernoulli-Euler Beams and Kirchhoff-Love Shells -- Isogeometric Analysis of Solids in Boundary Representation. 330 $aThis book presents new ideas in the framework of novel, finite element discretization schemes for solids and structure, focusing on the mechanical as well as the mathematical background. It also explores the implementation and automation aspects of these technologies. Furthermore, the authors highlight recent developments in mixed finite element formulations in solid mechanics as well as novel techniques for flexible structures at finite deformations. The book also describes automation processes and the application of automatic differentiation technique, including characteristic problems, automatic code generation and code optimization. The combination of these approaches leads to highly efficient numerical codes, which are fundamental for reliable simulations of complicated engineering problems. These techniques are used in a wide range of applications from elasticity, viscoelasticity, plasticity, and viscoplasticity in classical engineering disciplines, such as civil and mechanical engineering, as well as in modern branches like biomechanics and multiphysics. 410 0$aCISM International Centre for Mechanical Sciences, Courses and Lectures,$x0254-1971 ;$v597 606 $aComputer science$xMathematics 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aMechanics 606 $aMechanics, Applied 606 $aComputational Mathematics and Numerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M1400X 606 $aMathematical and Computational Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/T11006 606 $aTheoretical and Applied Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15001 615 0$aComputer science$xMathematics. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 0$aMechanics. 615 0$aMechanics, Applied. 615 14$aComputational Mathematics and Numerical Analysis. 615 24$aMathematical and Computational Engineering. 615 24$aTheoretical and Applied Mechanics. 676 $a620.00151535 702 $aSchröder$b Jörg$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $ade Mattos Pimenta$b Paulo$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910366607603321 996 $aNovel Finite Element Technologies for Solids and Structures$92499623 997 $aUNINA