Dynamical extraction of a single chain from a discrete lattice |
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Authors: | Gennady S Mishuris Leonid I Slepyan |
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Institution: | a Department of Mathematics, Rzeszów University of Technology, Poland b Department of Mathematical Sciences, University of Liverpool, UK c Department of Solid Mechanics, Materials and Systems, Tel Aviv University, Israel |
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Abstract: | We consider a nontrivial anti-plane shear fracture problem for a double-crack configuration where the remote external load is applied to the extracted mass-spring chain and the displacement field is symmetric with respect to the central axis between the cracks. An analytical solution obtained for the steady-state problem describes the displacement fields, stresses, local and global energy release rates and the dissipation. The double-crack configuration differs considerably from the classical problem of fracture in a lattice: the load is applied to the extracted chain rather than the outer domain as in the classical fracture problems. In the corresponding Wiener-Hopf equation, this leads to a special type of kernel, which is not typical for fracture problems. |
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Keywords: | Dynamic lattice fracture Waves Dissipation |
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