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Some sigmoid and reverse-sigmoid response patterns emerging from high-power loading of solids
dc.creator | Mastilović, Sreten | |
dc.date.accessioned | 2022-04-05T15:12:51Z | |
dc.date.available | 2022-04-05T15:12:51Z | |
dc.date.issued | 2018 | |
dc.identifier.issn | 1450-5584 | |
dc.identifier.uri | http://rimsi.imsi.bg.ac.rs/handle/123456789/1117 | |
dc.description.abstract | The objective of the present review is twofold. First, it aims at highlighting some sigmoid and reverse-sigmoid response patterns observed recently in the course of simulations of the high-strain-rate loading of (mostly, quasibrittle) solids. Second, it aims at reviewing various properties of two models used frequently as curve fitting tools for nonlinear and saturable phenomena. These two models-inspired by the Hill and the Weibull cumulative distribution functions-are bounded by two horizontal asymptotes with a smooth transition between the baseline and the final saturation state, characterized by a non-negative (a non-positive) derivative at each point for the sigmoid (the reverse-sigmoid) shape. Although they were used primarily for data fitting because of their flexibility and effectiveness, these nonlinear models possess other properties useful for the analysis of the irreversible, nonlinear and far-from-equilibrium phenomena. The main features of these two models are systematically examined in this review. In spite of the fact that satisfactory curve-fitting of data could not be considered a proof of causality it could underline a pattern of behavior and, perhaps, provide an investigation guidance. | en |
dc.publisher | Srpsko društvo za mehaniku, Beograd | |
dc.rights | openAccess | |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | |
dc.source | Theoretical and Applied Mechanics | |
dc.subject | sigmoid curve | en |
dc.subject | nonlinear phenomenological modeling | en |
dc.subject | high strain rate loading | en |
dc.subject | dynamic behavior of solids | en |
dc.subject | curve fitting | en |
dc.title | Some sigmoid and reverse-sigmoid response patterns emerging from high-power loading of solids | en |
dc.type | article | |
dc.rights.license | BY-NC-ND | |
dc.citation.epage | 119 | |
dc.citation.issue | 1 | |
dc.citation.other | 45(1): 95-119 | |
dc.citation.rank | M24 | |
dc.citation.spage | 95 | |
dc.citation.volume | 45 | |
dc.identifier.doi | 10.2298/TAM171203007M | |
dc.identifier.fulltext | http://rimsi.imsi.bg.ac.rs/bitstream/id/94/1114.pdf | |
dc.identifier.scopus | 2-s2.0-85049036904 | |
dc.identifier.wos | 000438527800007 | |
dc.type.version | publishedVersion |