04266nam a22005535i 4500 978-3-031-47984-7 DE-He213 20251030111422.0 cr nn 008mamaa 240212s2024 sz | s |||| 0|eng d 9783031479847 978-3-031-47984-7 10.1007/978-3-031-47984-7 doi QA808.2 PHD bicssc SCI065000 bisacsh PHD thema Öchsner, Andreas. author. aut http://id.loc.gov/vocabulary/relators/aut 68776 A Numerical Approach to the Simplified Laminate Theory of Composite Materials [electronic resource] : The Composite Laminate Analysis Tool—CLAT 1D / by Andreas Öchsner, Resam Makvandi. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. XII, 146 p. 104 illus., 49 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Advanced Structured Materials, 1869-8441 ; 202 Introduction -- Simplified Laminate Theory -- Composite Laminate Analysis Tool – CLAT 1D -- Application Examples -- Source Codes -- Index. A 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. Continuum mechanics. Composite materials. Mathematics Data processing. 65715 Continuum Mechanics. Composites. Computational Mathematics and Numerical Analysis. 66073 Makvandi, Resam. author. aut http://id.loc.gov/vocabulary/relators/aut 70875 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031479830 Printed edition: 9783031479854 Printed edition: 9783031479861 Advanced Structured Materials, 1869-8441 ; 202 68737 https://doi.org/10.1007/978-3-031-47984-7 ZDB-2-SMA ZDB-2-SXMS 57577 57577