Two-Dimensional Discrete Damage Models: Lattices and Rational Models

Rinaldi, Antonio; Mastilović, Sreten

doi:10.1007/978-1-4614-8968-9_22-1

Cited by 2 publications

(2 citation statements)

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“…The simulation techniques used to obtain results presented in this review article are only succinctly summarized for the sake of completeness. These methods of computational mechanics of discontinua were, among others, recently discussed in references [8] and [9]. The dynamic response patterns reviewed herein were obtained by use of physical models that were, admittedly, rather rudimentary.…”

Section: Computer Simulation Methodsmentioning

confidence: 99%

“…The disordered-lattice simulations replicate rather well the underlining phenomenology of the sample response including the essential features of rate-dependent fracture and deterioration of the effective stiffness, and provide an elementary intuition on the phenomena [23]. Consequently, in spite of the recognized limitations and drawbacks of this rudimentary physical model (examined, for example, in [3] and references therein), these simulations prove a useful tool for qualitative analysis of universal trends of the dynamic behavior of quasibrittle materials and provide a priceless guide for derivation of rational models (e.g., [8,31]).…”

Section: Molecular Dynamicsmentioning

confidence: 99%

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Some sigmoid and reverse-sigmoid response patterns emerging from high-power loading of solids

Mastilović

2018

Theor appl mech (Belgr)

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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.

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Section: Computer Simulation Methodsmentioning

confidence: 99%