LEADER 03794nam 22006615 450 001 9910135971603321 005 20220413225536.0 010 $a9789811024443 024 7 $a10.1007/978-981-10-2444-3 035 $a(CKB)3710000000911488 035 $a(DE-He213)978-981-10-2444-3 035 $a(MiAaPQ)EBC4723022 035 $a(PPN)196320127 035 $a(EXLCZ)993710000000911488 100 $a20161022d2017 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aComputational reality$b[electronic resource] $esolving nonlinear and coupled problems in continuum mechanics /$fby Bilen Emek Abali 205 $a1st ed. 2017. 210 1$aSingapore :$cSpringer Singapore :$cImprint: Springer,$d2017. 215 $a1 online resource (XVII, 308 p. 48 illus. in color.) 225 1 $aAdvanced Structured Materials,$x1869-8433 ;$v55 311 $a981-10-2443-X 311 $a981-10-2444-8 320 $aIncludes bibliographical references at the end of each chapters and index. 327 $aPreliminaries -- Mechanics -- Thermodynamics -- Electromagnetic interaction -- Appendix. 330 $aThis book presents the theory of continuum mechanics for mechanical, thermodynamical, and electrodynamical systems. It shows how to obtain governing equations and it applies them by computing the reality. It uses only open-source codes developed under the FEniCS project and includes codes for 20 engineering applications from mechanics, fluid dynamics, applied thermodynamics, and electromagnetism. Moreover, it derives and utilizes the constitutive equations including coupling terms, which allow to compute multiphysics problems by incorporating interactions between primitive variables, namely, motion, temperature, and electromagnetic fields. An engineering system is described by the primitive variables satisfying field equations that are partial differential equations in space and time. The field equations are mostly coupled and nonlinear, in other words, difficult to solve. In order to solve the coupled, nonlinear system of partial differential equations, the book uses a novel collection of open-source packages developed under the FEniCS project. All primitive variables are solved at once in a fully coupled fashion by using finite difference method in time and finite element method in space. 410 0$aAdvanced Structured Materials,$x1869-8433 ;$v55 606 $aMechanics 606 $aMechanics, Applied 606 $aComputer mathematics 606 $aNumerical analysis 606 $aMaterials science 606 $aSolid Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15010 606 $aComputational Science and Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/M14026 606 $aNumeric Computing$3https://scigraph.springernature.com/ontologies/product-market-codes/I1701X 606 $aCharacterization and Evaluation of Materials$3https://scigraph.springernature.com/ontologies/product-market-codes/Z17000 615 0$aMechanics. 615 0$aMechanics, Applied. 615 0$aComputer mathematics. 615 0$aNumerical analysis. 615 0$aMaterials science. 615 14$aSolid Mechanics. 615 24$aComputational Science and Engineering. 615 24$aNumeric Computing. 615 24$aCharacterization and Evaluation of Materials. 676 $a531.015118 700 $aAbali$b Bilen Emek$4aut$4http://id.loc.gov/vocabulary/relators/aut$0872822 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910135971603321 996 $aComputational Reality$91948549 997 $aUNINA