Analyzing the interaction between collinear interfacial cracks by an efficient boundary element-free method |
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| Affiliation: | 1. Department of Building and Construction, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong;2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P.R. China;1. Institute of Applied Mathematics, Harbin Institute of Technology, Harbin 150001, China;2. Department of Mechanical Engineering and Science, Kyoto University, Nishikyo-ku, Kyoto 615-8540, Japan;3. Center for Composite Materials, Harbin Institute of Technology, Harbin 150001, China;1. Institute of Mathematics and Physics, Aberystwyth University, Physical Sciences Building, Aberystwyth, Ceredigion, Wales SY23 3BZ, United Kingdom;2. Department of Civil, Environmental and Mechanical Engineering, University of Trento, Via Mesiano 77, 38123 Trento, Italy;3. Enginsoft Trento, Via della Stazione 27 – fraz. Mattarello, 38123 Trento, Italy;1. Voronezh State University, University Sq. 1, Voronezh 394006, Russia;2. IMWF, University of Stuttgart, Pfaffenwaldring 32, D-70569 Stuttgart, Germany;1. School of Mathematics and Computer Science, Ningxia University, Yinchuan 750021, PR China;2. School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, PR China |
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| Abstract: | A new traction boundary integral equation is presented for analyzing the interaction effect of any number of collinear interface cracks in a two-dimensional bimaterial. The dislocation densities on every crack surface are expressed in the products of the characteristic terms and the weight functions, and the unknown weight functions are approximated using the moving least-squares technique based on the constructed orthogonal basis functions. An efficient numerical integral method is employed to evaluate the Cauchy principal integrals that appear in the meshless method. The boundary element-free method is established, and a series of numerical results is presented. The interaction between the collinear interfacial cracks is analyzed. |
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