RT - Journal Article T1 - Evaluation of dynamic mode-III stress intensity factors of multiple cracks in an elastic half-plane JF - mdrsjrns YR - 2015 JO - mdrsjrns VO - 15 IS - 4 UR - http://mme.modares.ac.ir/article-15-9755-en.html SP - 123 EP - 132 K1 - Dynamic stress intensity factor K1 - Displacement discontinuity K1 - Hypersingular integral equation K1 - Numerical Laplace inversion AB - In a structural analysis, dynamic response of a crack is of significant importance as well as the impacts of elastic waves on stress intensity factors (SIF). In this paper, dynamic analyses of multiple cracks on a half-plane subjected to anti-plane shear stresses are presented. Stress intensity factors are calculated and the interaction of elastic waves with the boundary of plane and the cracks' tips is investigated at different locations. The distribution discontinuous displacement techniques are used, enabling us to solve the crack problems in dynamic fracture mechanics. Integral transformations (Laplace and Fourier) are applied to elastodynamics equations and by using a set of appropriate boundary conditions solved discontinuous displacement and the crack problem is solved through discontinuous displacement method. As a result, the stress equations with hypersingularity terms are obtained. Using Chebyshev series expansion and collocation points in Laplace domain, the crack solution is achieved. Finally, different algorithms of numerical Laplace inversion are presented and the stress intensity factors (SIF) are obtained. The presented results are compared with published data and a good agreement is observed. Moreover, it is also demonstrated that the present theoretical study is capable of modelling multiple cracks with different arrangements. LA eng UL http://mme.modares.ac.ir/article-15-9755-en.html M3 ER -