Modeling of composite plates with an arbitrary hole location using the variable separation method
| Autor: | Olivier Polit, Philippe Vidal, Laurent Gallimard |
|---|---|
| Přispěvatelé: | Laboratoire Energétique Mécanique Electromagnétisme (LEME), Université Paris Nanterre (UPN) |
| Rok vydání: | 2017 |
| Předmět: |
Discretization
Parameterized complexity Geometry 02 engineering and technology Variable separation 01 natural sciences [SPI]Engineering Sciences [physics] 0203 mechanical engineering Composite plate Position (vector) General Materials Science 0101 mathematics ComputingMilieux_MISCELLANEOUS Civil and Structural Engineering Mathematics Variable (mathematics) Mechanical Engineering Curved free-edge Finite element method Computer Science Applications 010101 applied mathematics 020303 mechanical engineering & transports Transformation (function) Modeling and Simulation Displacement field Variable hole location |
| Zdroj: | Computers & Structures Computers & Structures, 2017, 192, pp.157-170. ⟨10.1016/j.compstruc.2017.07.020⟩ Computers and Structures Computers and Structures, Elsevier, 2017, 192, pp.157-170. ⟨10.1016/j.compstruc.2017.07.020⟩ |
| ISSN: | 0045-7949 1879-2243 |
| DOI: | 10.1016/j.compstruc.2017.07.020 |
| Popis: | In this paper, a method to compute explicit solutions for laminated plate with arbitrary hole position is presented using a variable separation method. The displacement field is approximated as a sum of separated functions of the in-plane coordinates x , y , the transverse coordinate z and the coordinates X T , Y T of the hole position. As the parameterized problem involves the geometry, a mapping transformation is introduced to refer to a fixed reference configuration. This choice yields to an iterative process that consists of solving a 2D and three 1D problems successively at each iteration. In the thickness direction, a fourth-order expansion in each layer is considered. For the in-plane description, classical Finite Element Method is used. The functions of X T and Y T are discretized with linear interpolations. Mechanical tests with different numbers of layers are performed to show the accuracy of the method and its capacity to capture local effects and 3D state of the stress near the curved free-edge. |
| Databáze: | OpenAIRE |
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