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Extended Radial Point Interpolation Method for crack analysis in orthotropic media

In this present, 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. | TAÏP CHÍ PHAÙT TRIEÅN KH&CN, TAÄP 18, SOÁ K4- 2015 Extended Radial Point Interpolation Method for crack analysis in orthotropic media Nguyen Thanh Nha Bui Quoc Tinh Truong Tich Thien Ho Chi Minh city University of Technology, VNU-HCM (Manuscript Received on August 01st, 2015, Manuscript Revised August 27th, 2015) 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. Key words: orthotropic, crack, stress intensity factors, meshless, RPIM 1. INTRO DUCTIO N Orthotropic composite materials and their structures are used widely in various fields in engineering. One of the most preeminent property of composite is the high strength to weight ratio in comparison with conventional engineering materials. In many cases, orthotropic composites are fabricated in thin plate forms which are so susceptible to fault. A typical fault in composite structure is cracking due to inperfection in fabrication process or hard working .