Your institution may have access to this item. Find your institution then sign in to continue.

Title: Analysis of dynamic failure of the discrete chain structure with non-local interactions.
Authors: Gorbushin, Nikolai; Mishuris, Gennady
Abstract: In the present work, the steady-state crack propagation in a chain of oscillators with non-local interactions is considered. The interactions are modelled as linear springs, while the crack is presented by the absence of extra springs. The problem is reduced to the Wiener-Hopf type, and solution is presented in terms of the inverse Fourier transform. It is shown that the non-local interactions may change the structure of the solution well known from the classical local interactions formulation. In particular, it may change the range of the region of stable crack motion. The conclusions of the analysis are supported by numerical results. Namely, the observed phenomenon is partially clarified by evaluation of the structure profiles on the crack line ahead. Copyright © 2016 John Wiley & Sons, Ltd.
Subjects: CRACK propagation; WIENER-Hopf equations; FOURIER transforms; LATTICE theory; INTEGRAL equations
Publication: Mathematical Methods in the Applied Sciences, 2017, Vol 40, Issue 9, p3355
ISSN: 0170-4214
Publication type: Academic Journal
DOI: 10.1002/mma.4178

We found a match

Analysis of dynamic failure of the discrete chain structure with non-local interactions.