Dynamic modelling of the flat 2‐D crack by a semi‐analytic BIEM scheme
作者： Taku Tada , Ra�l Madariaga
DOI: 10.1002/1097-0207(20010110)50:1<227::AID-NME166>3.0.CO;2-5
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摘要: We present an efficient numerical method for solving indirect boundary integral equations that describe the dynamics of a flat two-dimensional (2-D) crack in all modes fracture. The is based on piecewise-constant interpolation, both space and time, slip-rate function, by which original equation reduced to discrete convolution, set analytically obtained coefficients. If time-step interval sufficiently small with respect spatial grid size, decouple can be solved explicitly. This semi-analytic scheme extended calculation wave field off plane. A necessary condition stability this investigated way exhaustive trial runs kinematic problem. For case investigated, our very stable fairly wide range control parameters III I, whereas, mode II, it unstable except some limited ranges parameters. use Peirce Siebrits' e-scheme time collocation found helpful stabilizing calculation. Our also allows variable steps. Copyright © 2001 John Wiley & Sons, Ltd.
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