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In this paper is presented the new approach to asymptotic analysis of the
stress and strain fields around a crack tip that is propagating
dynamically along a bimaterial interface. Through asymptotic analysis
the problem is being reduced to solving the Riemann-Hilbert's problem,
what yields the strain potential that is used for determination of the
strain field around a crack tip. The considered field is that of a
dynamically propagating crack with a speed that is between zero and
shear wave speed of the less stiffer of the two materials, bound along
the interface. Using the new approach in asymptotic analysis of the
strain field around a tip of a dynamically propagating crack and
possibilities offered by the Mathematica programming package, the
results are obtained that are compared to both experimental and
numerical results on the dynamic interfacial fracture known from the
literature. This comparison showed that it is necessary to apply the
complete expression obtained by asymptotic analysis of optical data and
not only its first term as it was done in previous analyses. |
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