Abstract
Orthotropic materials are particular type of anisotropic materials; In contrast with isotropic materials, their properties depend on the direction in which they are measured. Orthotropic composite materials and their structures have been extensively used in a wide range of engineering applications. Studies on their physical behaviors under in-work loading conditions are essential. In this present, we apply an extended meshfree radial point interpolation method (XRPIM) for analyzing crack behaviour in 2D orthotropic materials models. The thin plate spline (TPS) radial basis function (RBF) is used for constructing the RPIM shape functions. Typical advantages of using RBF are the satisfaction of the Kronecker’s delta property and the high-order continuity. To calculate the stress intensity factors (SIFs), Interaction integral method with orthotropic auxiliary fields are used. Numerical examples are performed to show the accuracy of the approach; the results are compared with available refered results. Our numerical experiments have shown a very good performance of the present method.
Highlights
Orthotropic composite materials and their structures are used widely in various fields in engineering
Orthotropic composites are fabricated in thin plate forms which are so susceptible to fault
There are several numerical studies that have performed to obtain the fracture behavior of orthotropic materials such as the extended finite element method (XFEM) [10, 11, 12]
Summary
Orthotropic composite materials and their structures are used widely in various fields in engineering. There are several numerical studies that have performed to obtain the fracture behavior of orthotropic materials such as the extended finite element method (XFEM) [10, 11, 12]. The element free Galerkin method (EFG) [13] has been applied for fracture analysis of composite by Ghorashi et al [14] In this aproach, the support domain is modified to involve the discontinuity at the crack face and the singularity at the crack tip. We present an extended meshfree Galerkin method based on the radial point interpolation method (XRPIM) associated with the vector level set method for modeling the crack problem in orthotropic materials under static and dynamic loading conditions. Several numerical examples including static, dynamic SIFs calculation are performed and investigated to highlight the accuracy of the proposed method
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