A Shape Memory Alloy Constitutive Model with Polynomial Phase Transformation Kinetics

Adeodato, Arthur; Vignoli, Lucas L.; Paiva, Alberto; Monteiro, Luciana L. S.; Pacheco, Pedro Manuel Calas Lopes; Savi, Marcelo A.

doi:10.1007/s40830-022-00382-1

Cited by 8 publications

(9 citation statements)

References 72 publications

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“…Furthermore, in Ref. 25, a constitutive model was proposed to model the pseudoelastic SMA behavior, and dynamical behavior was presented without considering any piezoelectric element. Among many possible configurations for combining the SMAs and piezoelectric materials, de-Sousa and Junior 26 conducted an investigation on a two degree of freedom piezoelectric airfoil coupled to a pseudoelastic spring under different conditions of static tensile preload.…”

Section: Articlementioning

confidence: 99%

Dynamics of a piezoelectric vibration energy harvester with a pseudoelastic SMA spring

Adeodato,

Giri,

Wolszczak

et al. 2024

AIP Advances

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The development of small-scale and low power consumption devices has been motivating the design of intelligent mechanisms, exhibiting a wide power density spectrum across various external sources. Smart materials come up as an attractive alternative due to their intrinsic multi-coupling between different physical domains. In this context, piezoelectric materials allow conversion of mechanical energy of movement into electrical power through the direct piezoelectric effect. This work investigates a piezoelectric energy harvester combined with a shape memory alloy (SMA) spring to explore the combination of both the smart materials for energy harvesting. The pseudoelastic hysteretic effect of SMA is explored in order to passively change the internal system properties such as stiffness and damping during the harvesting process. Numerical analyses are performed considering the normalized power converted by the harvester, focusing on the influence of the SMA martensite phase transformation under different scenarios. The results exhibit an increment in the harvester bandwidth when compared with a traditional linear piezoelectric energy harvester.

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Section: Articlementioning

confidence: 99%

Dynamics of a piezoelectric vibration energy harvester with a pseudoelastic SMA spring

Adeodato,

Giri,

Wolszczak

et al. 2024

AIP Advances

Self Cite

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“…Based on that, it is possible to define the phase transformation region, describing its kinetics using the following equations [6,41].…”

Section: Smasmentioning

confidence: 99%

Experimental investigation of vibration control of flexible rotors using shape memory alloys

Preto

Abreu

Gonçalves

et al. 2023

Smart Mater. Struct.

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Vibration is an essential subject for the design of rotordynamic systems, being responsible for compromising the integrity and causing risks to operational functioning. This work deals with an experimental investigation of the semi-active vibration controller for a rotordynamic system using shape memory alloy (SMA) elements. SMAs are smart materials that present thermomechanical coupling represented by solid phase transformations that promote either stiffness change or hysteretic dissipation. In this regard, they are useful in controllers employing thermal actuation from electric current through the Joule effect. This paper presents a proof of concept of a controller using SMA elements. An experimental apparatus is proposed considering a typical rotor system using SMA wires at the bearings. In this regard, proper temperature variations allow the system to cross critical resonant conditions.

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“…We briefly summarize the core constitutive model for shape memory alloys originally introduced in [22,23] and further refined in [24][25][26]. Let us note that more experimental details on this important class of functional materials can be found in [27], for example, and a great variety of constitutive models tackling the peculiarities of their thermomechanical response can be found in the literature (e.g., the recent works of [28][29][30][31][32][33]).…”

Section: Constitutive Model Of Shape Memory Alloys and Incremental En...mentioning

confidence: 99%

Vectorized MATLAB Implementation of the Incremental Minimization Principle for Rate-Independent Dissipative Solids Using FEM: A Constitutive Model of Shape Memory Alloys

Frost

Valdman

2022

Mathematics

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The incremental energy minimization principle provides a compact variational formulation for evolutionary boundary problems based on constitutive models of rate-independent dissipative solids. In this work, we develop and implement a versatile computational tool for the resolution of these problems via the finite element method (FEM). The implementation is coded in the MATLAB programming language and benefits from vector operations, allowing all local energy contributions to be evaluated over all degrees of freedom at once. The monolithic solution scheme combined with gradient-based optimization methods is applied to the inherently nonlinear, non-smooth convex minimization problem. An advanced constitutive model for shape memory alloys, which features a strongly coupled rate-independent dissipation function and several constraints on internal variables, is implemented as a benchmark example. Numerical simulations demonstrate the capabilities of the computational tool, which is suited for the rapid development and testing of advanced constitutive laws of rate-independent dissipative solids.

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A Shape Memory Alloy Constitutive Model with Polynomial Phase Transformation Kinetics

Cited by 8 publications

References 72 publications

Dynamics of a piezoelectric vibration energy harvester with a pseudoelastic SMA spring

Dynamics of a piezoelectric vibration energy harvester with a pseudoelastic SMA spring

Experimental investigation of vibration control of flexible rotors using shape memory alloys

Vectorized MATLAB Implementation of the Incremental Minimization Principle for Rate-Independent Dissipative Solids Using FEM: A Constitutive Model of Shape Memory Alloys

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