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http://dx.doi.org/10.7734/COSEIK.2014.27.5.337

Shape Design Optimization of Crack Propagation Problems Using Meshfree Methods  

Kim, Jae-Hyun (National Creative Research Initiatives(NCRI) Center for Isogeometric Optimal Design, Department of Naval Architecture and Ocean Engineering, Seoul National University)
Ha, Seung-Hyun (Department of Ocean Engineering, Korea Maritime and Ocean University)
Cho, Seonho (National Creative Research Initiatives(NCRI) Center for Isogeometric Optimal Design, Department of Naval Architecture and Ocean Engineering, Seoul National University)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.27, no.5, 2014 , pp. 337-343 More about this Journal
Abstract
This paper presents a continuum-based shape design sensitivity analysis(DSA) method for crack propagation problems using a reproducing kernel method(RKM), which facilitates the remeshing problem required for finite element analysis(FEA) and provides the higher order shape functions by increasing the continuity of the kernel functions. A linear elasticity is considered to obtain the required stress field around the crack tip for the evaluation of J-integral. The sensitivity of displacement field and stress intensity factor(SIF) with respect to shape design variables are derived using a material derivative approach. For efficient computation of design sensitivity, an adjoint variable method is employed tather than the direct differentiation method. Through numerical examples, The mesh-free and the DSA methods show excellent agreement with finite difference results. The DSA results are further extended to a shape optimization of crack propagation problems to control the propagation path.
Keywords
reproducing kernel method; crack propagation analysis; J-integral; adjoint shape sensitivity analysis; stress intensity factor;
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Times Cited By KSCI : 1  (Citation Analysis)
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