Robustness of Hierarchical Laminated Shell Element Based on Equivalent Single-Layer Theory
Autor: | Seung H. Yang, Kwang S. Woo, Jae S. Ahn |
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Rok vydání: | 2015 |
Předmět: |
Physics
Article Subject business.industry lcsh:Mathematics General Mathematics Isotropy Mathematical analysis General Engineering Structural engineering Static analysis lcsh:QA1-939 Orthotropic material Linear map lcsh:TA1-2040 Robustness (computer science) Cylindrical coordinate system lcsh:Engineering (General). Civil engineering (General) Anisotropy business Legendre polynomials |
Zdroj: | Mathematical Problems in Engineering, Vol 2015 (2015) |
ISSN: | 1563-5147 1024-123X |
DOI: | 10.1155/2015/301054 |
Popis: | This paper deals with the hierarchical laminated shell elements with nonsensitivity to adverse conditions for linear static analysis of cylindrical problems. Displacement approximation of the elements is established by high-order shape functions using the integrals of Legendre polynomials to ensureC0continuity at the interface between adjacent elements. For exact linear mapping of cylindrical shell problems, cylindrical coordinate is adopted. To find global response of laminated composite shells, equivalent single-layer theory is also considered. Thus, the proposed elements are formulated by the dimensional reduction from three-dimensional solid to two-dimensional plane which allows the first-order shear deformation and considers anisotropy due to fiber orientation. The sensitivity tests are implemented to show robustness of the present elements with respect to severe element distortions, very high aspect ratios of elements, and very large radius-to-thickness ratios of shells. In addition, this element has investigated whether material conditions such as isotropic and orthotropic properties may affect the accuracy as the element distortion ratio is increased. The robustness of present element has been compared with that of several shell elements available in ANSYS program. |
Databáze: | OpenAIRE |
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