LEADER 03599nam 22007095 450 001 9910520061503321 005 20251107173157.0 010 $a3-030-89550-5 024 7 $a10.1007/978-3-030-89550-1 035 $a(MiAaPQ)EBC6838896 035 $a(Au-PeEL)EBL6838896 035 $a(CKB)20275208900041 035 $a(OCoLC)1292355043 035 $a(PPN)259390925 035 $a(DE-He213)978-3-030-89550-1 035 $a(EXLCZ)9920275208900041 100 $a20211216d2021 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aPlane Finite Elements for Two-Dimensional Problems $eApplication of the Computer Algebra System Maxima /$fby Andreas Öchsner, Resam Makvandi 205 $a1st ed. 2021. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2021. 215 $a1 online resource (257 pages) 225 1 $aPhysics and Astronomy Series 300 $aIncludes index. 311 08$aPrint version: Öchsner, Andreas Plane Finite Elements for Two-Dimensional Problems Cham : Springer International Publishing AG,c2021 9783030895495 327 $aIntroduction -- Maxima - A Computer Algebra System -- Plane Elements.-Classical Plate Elements -- Shear Deformable Plate Elements.-Graphical User Interface -- Source Codes. 330 $aThis book is intended as a study aid for the finite element method. Based on the free computer algebra system Maxima, we offer routines to symbolically or numerically solve problems from the context of two-dimensional problems. For this rather advanced topic, classical ?hand calculations? are difficult to perform and the incorporation of a computer algebra system is a convenient approach to handle, for example, larger matrix operations. The mechanical theories focus on the classical two-dimensional structural elements, i.e., plane elements, thin or classical plates, and thick or shear deformable plate elements. The use of a computer algebra system and the incorporated functions, e.g., for matrix operations, allows to focus more on the methodology of the finite element method and not on standard procedures. Furthermore, we offer a graphical user interface (GUI) to facilitate the model definition. Thus, the user may enter the required definitions in a source code manner directly in wxMaxima or use the GUI which is able to execute wxMaxime to perform the calculations. 410 0$aPhysics and Astronomy Series 606 $aMechanics, Applied 606 $aContinuum mechanics 606 $aNumerical analysis 606 $aComputer simulation 606 $aComputer science$xMathematics 606 $aEngineering Mechanics 606 $aContinuum Mechanics 606 $aNumerical Analysis 606 $aComputer Modelling 606 $aSymbolic and Algebraic Manipulation 615 0$aMechanics, Applied. 615 0$aContinuum mechanics. 615 0$aNumerical analysis. 615 0$aComputer simulation. 615 0$aComputer science$xMathematics. 615 14$aEngineering Mechanics. 615 24$aContinuum Mechanics. 615 24$aNumerical Analysis. 615 24$aComputer Modelling. 615 24$aSymbolic and Algebraic Manipulation. 676 $a518.25 700 $aO?chsner$b Andreas$0317948 702 $aMakvandi$b Resam 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910520061503321 996 $aPlane finite elements for two-dimensional problems$92909930 997 $aUNINA