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Rate Independent Hysteresis in a Bi-stable Chain by G. Puglisi; L. Truskinovsky is a Engineering article available to read on EtoBox.

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The nontrivial behavior of an elastic chain with identical bi-stable elements may be considered prototypical for a large number of nonlinear processes in solids ranging from phase transitions to fracture. The energy landscape of such a chain is extremely wiggly which gives rise to multiple equilibrium conÿgurations and results in a hysteretic evolution and a possibility of trapping. In the present paper, which extends our previous study of the static equilibria in this system (Puglisi and Truskinovsky, J. Mech. Phys. Solids ( 2000) 1), we analyze the behavior of a bi-stable chain in a soft device under quasi-static loading. We assume that the system is over-damped and explore the variety of available nonequilibrium transformation paths. In particular, we show that the "minimal barrier" strategy leads to the localization of the transformation in a single spring. Loaded periodically, our bi-stable chain exhibits ÿnite hysteresis which depends on the height of the admissible barrier; the cold work=heat ratio in this model is a ÿxed constant, proportional to the Maxwell stress. Comparison of the computed inner and outer hysteresis loops with recent experiments on shape memory wires dem

Who reads Rate Independent Hysteresis in a Bi-stable Chain?

Author

G. Puglisi; L. Truskinovsky

Publisher

Elsevier Science; Elsevier ; Elsevier Ltd.; Elsevier BV (ISSN 0022-5096)

Published

2002

Language

EN

Field

Engineering (Physical Sciences)