Transient near tip fields in crack dynamics

Abstract

Transient effects of stress-strain fields in the vicinity of a stationary crack tip under high rate loads are discussed. Exact analytical solutions to near tip stresses are compared to fields prescribed by leading terms (one or several) of Williams asymptotic expansion. Influence of load application mode, time (or, which is the same, distance from a crack tip) and Poisson's ratio on this discrepancy is extensively examined. Some effects connected with crack tip propagation speed are also discussed. Significant inconsistencies between real (or received in numerical solutions of state equations -e.g. finite element computations) crack tip fields and stress intensity factor (SIF) singular field observed by numerous researchers are explained. The scope of problems where SIF field can be used for correct prediction of dynamic stress-strain fields in the crack tip region is established. Possibility to correctly approximate fields that are not SIF dominated, accounting additional terms of Williams expansion, is studied. transient crack tip fields, dynamic fracture, high-rate loads, asymptotic expansions PACS: 62.20.mm, 62.20.mt, 62.50.Ef List of main symbols ij

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“…Поскольку решение задачи в точной постановке учитывает результат распространения упругих волн всех типов, предпринимаются попытки выделить вклад поверхностной волны (см., например, [1,2] ; . , [11].…”