Mechanics of a discrete chain with bi-stable elements

By G. Puglisi, Lev Truskinovsky. 2000

233 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Biomedical Engineering, Cell Biology

View Paper: https://www.semanticscholar.org/paper/40c252cef2c1e99582bd126494bcd9398aeda891

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In Atomic and Molecular Physics, and Optics

In Biomedical Engineering

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Citations in the corpus

A multiscale continuum model of the grain-size dependence of the stress hysteresis in shape memory alloy polycrystals (2008, background): “The discrete nature of the phase transition process at the smaller length scales (such as grain size) and the passing of dynamic information from one scale to another are emphasized in this type of modelling (see the work of Muller and Villaggio, 1977; Fedelich and Zanzotto, 1991; Muller and Xu, 199”
A Free Energy Model for Hysteresis in Ferroelectric Materials (2003, methodology): “…concepts involving stochastically distributed parameters are employed in Preisach formulations for magnetic compounds (Della Torre, 1999) and discrete models for shape memory alloys (SMA) based on elastic chains constructed from bi-stable elements (Puglisi and Truskinovsky (2000, 2002a, 2002b).”
Physically-Based Approach to the Mechanics of Strong Non-Local Linear Elasticity Theory (2009, result): “On the contrary, if we assume that local violations of the stability criterion may happen, then unstable material phases are allowed and, under some conditions as reported in [ 22 , 23], a phase transition may be experienced.”
Asymptotic expansions by Γ-convergence (2008, background): “, [35,57]) pictures the dependence on λ as in Fig.”
Feeding and dissipative waves in fracture and phase transition: II. Phase-transition waves (2001, background): “…(see Truskinovsky, 1994, 1997; Ngan and Truskinovsky, 1999, and the references therein), and a discrete chain model (Slepyan and Troyankina, 1984, 1988; Slepyan, 2000; Balk et al., 2001a, b, an analysis for a discrete bi-stable chain in statics is represented in Puglisi and Truskinovsky, 2000).”
The mechanically-based approach to 3D non-local linear elasticity theory: Long-range central interactions (2010, background): “Non-convexity may be a desirable feature of the elastic potential energy in the analysis of phase transitions of some kinds of alloys (see Puglisi and Truskinovsky, 2000; Del Piero and Truskinovsky, 2001), since such analysis involves non-linear stability of meta-stable portions of a nonlinear…”