000015195 001__ 15195
000015195 005__ 20161115100214.0
000015195 04107 $$aeng
000015195 046__ $$k2016-08-21
000015195 100__ $$aAntipov, Yuri
000015195 24500 $$aCrack growth at nonuniform speed beneath the boundary of a half-plane

000015195 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000015195 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000015195 506__ $$arestricted
000015195 520__ $$2eng$$aA semi-infinite crack propagates at sub-Rayleigh piece-wise constant speed in a homogeneous isotropic half-plane in the direction parallel to the half-plane boundary. Freund’s approximate algorithm for the problem on a semi-infinite crack propagating in the whole plane is generalized for the half-plane case. The implementation of the method requires successive solution of two coupled Volterra convolution equations admitting a closed-form solution. The kernels of the system are the four weight functions of the transient problem on a semiinfinite crack propagating at constant speed parallel to the boundary and subjected to certain loading. By the Fourier and Laplace transforms the model problem reduces to an order-2 vector Riemann-Hilbert problem. A method of partial factorization and convolution integral equations for its numerical solution is proposed. The dynamic Griffith criterion for the determination of the piece-wise speed is applied.

000015195 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015195 653__ $$a

000015195 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000015195 720__ $$aAntipov, Yuri
000015195 8560_ $$ffischerc@itam.cas.cz
000015195 8564_ $$s85869$$uhttps://invenio.itam.cas.cz/record/15195/files/TS.SM05-3.01.pdf$$yOriginal version of the author's contribution as presented on CD,  page 2040, code TS.SM05-3.01
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000015195 962__ $$r13812
000015195 980__ $$aPAPER