Wiggly strain localizations in peridynamic bars with non-convex potential

Autor(es)

Aguiar, Adair R. ^[1] ; Royer-Carfagni, Gianni F. ^{[2, 3]} ; Seitenfuss, Alan B. ^[1]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES; v. 138, p. 1-12, MAY 1 2018.
• Citações Web of Science: 1

Resumo

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)

• Processo FAPESP: 16/12217-2 - Teoria peridinâmica no modelamento da fase Pós-Ruptura de vidro estrutural
• Beneficiário: Adair Roberto Aguiar
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional