tailieunhanh - Extended radial point interpolation method for dynamic crack analysis in functionally graded materials

In this study, propose an extended meshfree method based on the radial point interpolation method (XRPIM) associated with the vector level set method for modeling the crack problem in functionally graded materials under static and dynamic loading conditions. | TAÏP CHÍ PHAÙT TRIEÅN KH&CN, TAÄP 18, SOÁ K4- 2015 Extended radial point interpolation method for dynamic crack analysis in functionally graded materials Nguyen Thanh Nha Tran Kim Bang 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: Functionally graded materials (FGMs) have been widely used as advanced materials characterized by variation in properties as the dimension varies. Studies on their physical responses under in-serve or external loading conditions are necessary. Especially, crack behavior analysis for these advanced material is one of the most essential in engineering. In this present, an extended meshfree radial point interpolation method (RPIM) is applied for calculating static and dynamic stress intensity factors (SIFs) in functionally graded materials. Typical advantages of RPIM shape function are the satisfactions of the Kronecker’s delta property and the high-order continuity. To assess the static and dynamic stress intensity factors, non-homogeneous form of interaction integral with the nonhomogeneous asymptotic near crack tip fields is used. Several benchmark examples in 2D crack problem are performed such as static and dynamic crack parameters calculation. The obtained results are compared with other existing solutions to illustrate the correction of the presented approach. Key words: FGMs, crack, stress intensity factors, meshless, RPIM 1. INTRO DUCTIO N Functionally graded materials (FGMs) are types of advanced composite that have been made based on the concept of continuous variation of microstructures. The non-uniform distributions of the reinforcement phase cause different material properties in one or more specified directions [1, 2]. In recent years, the FGMs hold promising for applications that require extra high material performance [3]. For example, FGMs are used in thermal protection systems because

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