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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Wiggly strain localizations in peridynamic bars with non-convex potential

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Author(s):
Aguiar, Adair R. [1] ; Royer-Carfagni, Gianni F. [2, 3] ; Seitenfuss, Alan B. [1]
Total Authors: 3
Affiliation:
[1] Univ Sao Paulo, Sao Carlos Sch Engn, Dept Struct Engn, Sao Paulo - Brazil
[2] Univ Parma, Dept Engn & Architecture, Parma - Italy
[3] Natl Res Council Italy ITC CNR, Construct Technol Inst, San Giuliano Milanese - Italy
Total Affiliations: 3
Document type: Journal article
Source: INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES; v. 138, p. 1-12, MAY 1 2018.
Web of Science Citations: 1
Abstract

We discuss the static states of a peridynamic nonlinear elastic bar of finite length in a hard device, which represents a continuum description of a complex hierarchical structure with interacting long-range crosslinkers, of the type encountered in biological systems. The nonlocal character of the model requires that edge conditions are defined on a boundary layer with the same length of the horizon, affecting the solution in the bulk interior. Assuming that the constituent microscopic ligaments contain bistable units governed by a non-convex potential, we show that the development of coexisting folded-unfolded phases, either synchronized or unsynchronized, induces in the displacement field the formation of undulations at a micro-scale of the length of the horizon, associated with strain localizations triggered at the bar ends. The equilibrium paths, found numerically with a pseudo-arc-length continuation method, become unstable within a certain range of elongation, suggesting the possible occurrence of a negative-stiffness response. (C) 2017 Elsevier Ltd. All rights reserved. (AU)

FAPESP's process: 16/12217-2 - Peridynamic theory in the modelling of the Post-Breakage phase of structural glass
Grantee:Adair Roberto Aguiar
Support Opportunities: Research Grants - Visiting Researcher Grant - International