CHAPTER 6 Boundary element analysis of fracture failure in anisotropic composite laminates P. Sollero 1 , M.H. Aliabadi 2 & E.L. Albuquerque 1 1 Faculty of Mechanical Engineering, State University of Campinas, Brazil. 2 Department of Aeronautics, Imperial College London, UK. 1 Introduction The use of high performance composite materials in engineering has increased the number of design variables for engineers. On one hand new requirements could be specified, improving the structural efficiency of the material. Controlled anisotropy and high strength per weight and stiff per weight ratios are some composite material features desirable in many engineering designs. For example, aircraft are typically weight sensitive structures in which composite materials are effective. On the other hand, by increasing the number of variables, difficulties in modeling anisotropic structures arise in the formulation. Particularly, in boundary element formulation, a large number of variables means far more difficulties in deriving fundamental solutions. This aspect is evident in literature. It can be noted that the number of references in which boundary element method is applied for anisotropic structures is significantly smaller than those for treating isotropic ones. However, nowadays it is possible to use the boundary element method in the analysis of main anisotropic structures used in engineering designs. The first formulation of boundary element method applied for anisotropic problems was pro- posed by Rizzo and Shyppy [1]. In the following year, an important contribution was given by Cruse and Swedlow [2] who proposed a fundamental solution using complex variable func- tions. This fundamental solution has been used in the majority of works treating bi-dimensional anisotropic problems (Sollero and Aliabadi [3], Deb and Banerjee [4], Deb [5], and Albuquerque et al. [6]). Vogel and Rizzo [7] presented the first application of boundary element method for three dimensional anisotropic problems using fundamental solutions which require numerical integra- tion. Wilson and Cruse [8] analyzed anisotropic problems using a formulation which requires less computational effort than that proposed by Vogel and Rizzo [7]. Nevertheless, even the formu- lation proposed Wilson and Cruse [8] is still time consuming due to the numerical integration demanded by its fundamental solutions. Explicit expressions for three dimensional elastostatic Green’s displacement in general anisotropic solids were derived by Wang [9] and implemented by Tonon et al. [10]. The procedure proposed by Tonon et al. [10] is nearly analytic, only requiring www.witpress.com, ISSN 1755-8336 (on-line) WIT Transactions on State of the Art in Science and Engineering, Vol 21, © 2005 WIT Press doi:10.2495/978-1-85312-669-7/06
Boundary element analysis of fracture failure in anisotropic composite laminates
May 20, 2023
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