LEADER 04217nam 22006015 450 001 9910835062303321 005 20250807150248.0 010 $a9783031479847 010 $a303147984X 024 7 $a10.1007/978-3-031-47984-7 035 $a(MiAaPQ)EBC31138434 035 $a(Au-PeEL)EBL31138434 035 $a(DE-He213)978-3-031-47984-7 035 $a(CKB)30327223200041 035 $a(OCoLC)1422233090 035 $a(EXLCZ)9930327223200041 100 $a20240212d2024 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 12$aA Numerical Approach to the Simplified Laminate Theory of Composite Materials $eThe Composite Laminate Analysis Tool?CLAT 1D /$fby Andreas Öchsner, Resam Makvandi 205 $a1st ed. 2024. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2024. 215 $a1 online resource (158 pages) 225 1 $aAdvanced Structured Materials,$x1869-8441 ;$v202 311 08$aPrint version: Öchsner, Andreas A Numerical Approach to the Simplified Laminate Theory of Composite Materials Cham : Springer,c2024 9783031479830 327 $aIntroduction -- Simplified Laminate Theory -- Composite Laminate Analysis Tool ? CLAT 1D -- Application Examples -- Source Codes -- Index. 330 $aA typical approach to treat composite materials, which are composed of layered unidirectional lamina, is the so-called classical laminate theory (CLT). This theory is based on the theory for plane elasticity elements and classical (shear-rigid) plate elements under the assumption of orthotropic constitutive equations. The solution of the fundamental equations of the classical laminate theory is connected with extensive matrix operations and many problems require in addition iteration loops. This two-dimensional approach and the underlying advanced continuum mechanical modeling might be very challenging for some students, particularly at universities of applied sciences. Thus, a reduced approach, the so-called simplified classical laminate theory (SCLT), has been recently proposed. The idea was to use solely isotropic one-dimensional elements, i.e., a superposition of bar and beam elements, to introduce the major calculation steps of the classical laminate theory. Understanding this simplified theory is much easier and the final step it to highlight the differences when moving to the general two-dimensional case. This monograph first provides a systematic and thorough introduction to the simplified laminate theory based on the theory for bars and classical beam plate elements. The focus is on stacking of isotropic layers to simplified laminates. In addition to the elastic behavior, failure is investigated based on the maximum stress, maximum strain, Tsai-Hill, and the Tsai-Wu criteria. We provide a Python-based computational tool, the so-called Composite Laminate Analysis Tool (CLAT 1D) to easily solve some standard questions from the context of fiber reinforced composites. The tool runs in any standard web browser and offers a user-friendly interface with many post-processing options. The functionality comprises stress and strain analysis of simplified lamina and laminates and the failure analysis based on different criteria. 410 0$aAdvanced Structured Materials,$x1869-8441 ;$v202 606 $aContinuum mechanics 606 $aComposite materials 606 $aMathematics$xData processing 606 $aContinuum Mechanics 606 $aComposites 606 $aComputational Mathematics and Numerical Analysis 615 0$aContinuum mechanics. 615 0$aComposite materials. 615 0$aMathematics$xData processing. 615 14$aContinuum Mechanics. 615 24$aComposites. 615 24$aComputational Mathematics and Numerical Analysis. 676 $a531.7 700 $aO?chsner$b Andreas$0317948 701 $aMakvandi$b Resam$01372970 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910835062303321 996 $aA Numerical Approach to the Simplified Laminate Theory of Composite Materials$94259071 997 $aUNINA