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245 1 0 _aTransient elastodynamic antiplane crack analysis of anisotropic solids
490 0 _vInternational Journal of Solids and Structures, 37, p.6107-6130, 2000
520 3 _aTransient elastodynamic analysis of an antiplane crack in anisotropic solids is presented. A time-domain traction boundary integral equation (BIE)method is applied for this purpose. The traction BIE is hypersingular and has the crack-opening-displacement as its fundamental unknown quantity. Unlike the usual time-domain BIE method the present formulation applies a convolution quadrature developed by Lubich (Lubich, C., 1988a,b. Convolution quadrature and discretized operational calculus. Numer. Math. 52, 129_}145 (Part I), 413_}425 (Part II)) which requires only the Laplace-domain instead of the time-domain Green's functions. The spatial variation of the crack- opening-displacement is approximated by an inRnite series of Chebyshev polynomials which take the local behavior of the crack-opening-displacement at crack-tips into account. By using a Galerkin method, the time-domain BIE is converted into a system of linear algebraic equations which can be solved step by step. Special attention is devoted to the computation of dynamic stress intensity factors of an antiplane crack in generally anisotropic solids. Numerical results for isotropic solids are presented and compared with the well-known analytical results of Thau and Lu (Thau, S.A., Lu, T.H., 1970. Di_raction of transient horizontal shear waves by a Rnite crack and a Rnite rigid ribbon. Int. J. Enggn. Sci. 8, 857_}874), to check the accuracy and e.ciency of the present time-domain BIE method. The e_ect of the material anisotropy on the dynamic stress intensity factors is analyzed via several numerical examples.
650 1 4 _aANISOTROPIC SOLIDS
650 1 4 _aELASTODYNAMICS
650 1 4 _aTRANSIENT DYNAMIC CRACK ANALYSIS
650 1 4 _aELASTIC WAVE SCATTERING
650 1 4 _aBOUNDARY INTEGRAL EQUATIONS
700 1 2 _aZhang, Ch.
856 4 0 _uhttps://drive.google.com/file/d/1xHFuexS3WHj433g1fgDfxxG0G8WIAsCb/view?usp=drivesdk
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