Convergent spectral approximations for the thermomechanical processes in shape memory alloys (original) (raw)
2000, Nonlinear Analysis: Theory, Methods & Applications
AI-generated Abstract
The paper investigates a one-dimensional nonlinear initial-boundary value problem governing thermomechanical processes in shape memory alloys (SMA), specifically focusing on the coupled nonlinear hyperbolic and parabolic partial differential equations that describe material behavior under phase transitions. The authors derive an explicit formulation of the free energy potential relevant for SMAs, analyze its implications for the stress-strain behavior across temperature ranges, and validate their theoretical findings through various experimental setups. The research demonstrates the ability of the model to replicate phenomena such as hysteresis and superelasticity, revealing critical insights into the material's response to thermal and mechanical stimuli.
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