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A Novel Method For The Solution Of The Three-dimensional Dynamic Crack Problems


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E I Shifrin & A Staroselsky


A novel method for the solution of the three- dimensional dynamic crack problems E. I. Shifrin1 & A. Staroselsky2 1Moscow Aviation Technology University, Moscow, Russia 2United Technologies Research Center, Hartford, Connecticut, USA Abstract We present a novel, efficient and robust numerical method to handle spatial problems for practically arbitrarily shaped plane cracks or crack systems under static or dynamic loading. A two-parametric method previously used for static analysis is generalized for dynamic shear problems. A system of integral-differential equations for a displacement jump in the crack plane was derived for generalized loading conditions and solved by this method. In this paper, values of Stress Intensity Factors (S1F) are obtained for a penny-shaped crack, subjected to either harmonic or impact loads. The results are shown to be in good accord with known analytical results for static loading and numerical results of other investigators. Introduction Dynamic response of elastic media subject to transient excitations is extremely important for two reasons. First, interaction of a planar crack in three-dimensional solids with time-harmonic elastic waves is a foundation for developing non-destructive methods of crack detection. In particular, the scattering of non-stationary time-dependent loads/waves by cracks is a point of practical and theoretical interest. The second area of engineering activities where the response of cracks to dynamic loading must be considered, is damage tolerant and life cycle design, which is now widely used in high technology industrial applications. This practice requires the prediction of crack behavior subject to dynamic loading.