Thermomechanical modelling, nonlinear dynamics and chaos in shape memory oscillators

DOI10.1080/13873950500076404zbMath1097.74528OpenAlexW1963947218MaRDI QIDQ5712051

Davide Bernardini, Giuseppe Rega

Publication date: 22 December 2005

Published in: Mathematical and Computer Modelling of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10.1080/13873950500076404

zbMATH Keywords

chaosnonlinear dynamicsthermomechanicsshape memory materials

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Thermal effects in solid mechanics (74F05) Phase transformations in solids (74N99)

Related Items (9)

Chaos control of a nonlinear oscillator with shape memory alloy using an optimal linear control. I: Ideal energy source ⋮ Bifurcation and chaos in integer and fractional order two-degree-of-freedom shape memory alloy oscillators ⋮ BIFURCATION AND STABILITY OF MARTENSITIC TRANSFORMATION DYNAMICS ⋮ Lyapunov exponents estimation for hysteretic systems ⋮ Phase transformation in shape memory alloys: a numerical approach for thermomechanical modeling via peridynamics ⋮ Modelling of hysteresis using Masing-Bouc-Wen's framework and search of conditions for the chaotic responses ⋮ Deflection control of an aeroelastic system utilizing an antagonistic shape memory alloy actuator ⋮ CHAOS ROBUSTNESS AND STRENGTH IN THERMOMECHANICAL SHAPE MEMORY OSCILLATORS PART I: A PREDICTIVE THEORETICAL FRAMEWORK FOR THE PSEUDOELASTIC BEHAVIOR ⋮ CHAOS ROBUSTNESS AND STRENGTH IN THERMOMECHANICAL SHAPE MEMORY OSCILLATORS PART II: NUMERICAL AND THEORETICAL EVALUATION

Cites Work

• Unnamed Item
• Nonlinear thermomechanical oscillations of shape-memory devices
• Calculation of Lyapunov exponents for dynamic systems with discontinuities.
• Uniaxial modeling of multivariant shape-memory materials with internal sublooping using dissipation functions
• Models for one-variant shape memory materials based on dissipation functions
• Non-isothermal oscillations of pseudoelastic devices
• On the thermomechanics of shape memory wires
• Continuum mechanical aspects of phase transformations in solids
• Nonlinear dynamics and chaos in coupled shape memory oscillators.
• BIFURCATION STRUCTURE AT 1/3-SUBHARMONIC RESONANCE IN AN ASYMMETRIC NONLINEAR ELASTIC OSCILLATOR

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