作者: O. O. Ochoa , J. N. Reddy
DOI:
关键词: Differential equation 、 Numerical analysis 、 Extended finite element method 、 Mathematical analysis 、 Partial differential equation 、 Materials science 、 Plate theory 、 Structural engineering 、 Finite element method 、 Boundary value problem 、 Galerkin method
摘要: The partial differential equations governing composite laminates (see Section 2.4) of arbitrary geometries and boundary conditions cannot be solved in closed form. Analytical solutions plate theories are available Reddy [1–5]) mostly for rectangular plates with all edges simply supported (i.e., the Navier solutions) or two opposite remaining having Levy solutions). Rayleigh-Ritz Galerkin methods can also used to determine approximate analytical solutions, but they too limited simple because difficulty constructing approximation functions complicated geometries. use numerical facilitates solution these problems practical importance. Among defined over domains, finite element method is most effective method. A brief introduction presented 3.2.