Constitutive model of shape memory alloys: Theoretical formulation and experimental validation

Flor, Silvia De la; Urbina, C.; Ferrando, Francesc

doi:10.1016/j.msea.2006.04.008

Cited by 24 publications

(28 citation statements)

References 34 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Studies have shown that the mechanical energy affecting the thermomechanical process in the SMA linear actuator is negligible [20]; however, the stress dependency of SMA transformation temperatures must be considered in the numerical model [10,21,[30][31][32]. The mechanical effect of the bias-spring is incorporated within the constitutive model (Sect.…”

Section: Mechanical Energymentioning

confidence: 99%

“…Variation of transformation temperatures with stress are shown in Fig. 3 for Tanaka [30], Liang and Roger [10], Brinson [21], Aurichio and Lubliner [31], and De La Flor et al [32] models. The stress-influence coefficients (C A , C M and C M S ), transformation temperatures (A s , A f , M s and M f ), and the critical stresses of martensite (start, σ s cr and finish, σ f cr ) can be experimentally determined.…”

Section: Mechanical Energymentioning

confidence: 99%

“…Forced convection arises when a fluid flow is Fig. 3 Typical stress-temperature profile for constitutive models [10,21,[30][31][32] induced by an external force (e.g., fan or pump), free convection arises due to the buoyancy force associated with fluid heating. The convective heat transfer coefficient is the ratio of heat flux removal to the temperature difference between the surface and surrounding fluid, h = q T ; and is dependent on many properties including the fluid medium (i.e., gas or liquid), the flow properties (e.g., velocity and viscosity) and other flow and temperature related properties (e.g., flow type, surface roughness, and environment pressure and temperature) [16,33].…”

Section: The Convective Heat Transfer Coefficientmentioning

confidence: 99%

“…Elahinia and Ahmadian [40] enhanced these constitutive models to predict the SMA behavior under simultaneous change of temperature and stress loadings, such as in rotatory SMA actuators. De La Flor et al [32] further improved the constitutive model based on Brinson's constitutive equation [28] and Auricchio's linear laws [31] which can predict the SMA behavior more accurately for wider range of temperatures and loading conditions. Liang and Rogers [10] phenomenological model was found to be adequate for this work to generate stress-strain data from the novel heat transfer models.…”

Section: Stress-strain Constitutive Modelmentioning

confidence: 99%

“…Fig. 9 Typical SMA stress-strain relationship indicating Young's Modulus (E), critical stresses (σ cr ), martensitic residual strain (ε res ) and maximum recoverable strain (ε L ) [10,32] For an SMA-spring system (Fig. 2), the constitutive equation can be expressed as Eq.…”

Section: Stress-strain Constitutive Modelmentioning

confidence: 99%

See 4 more Smart Citations

Numerical modeling of shape memory alloy linear actuator

et al. 2015

View full text Add to dashboard Cite

The demand for shape memory alloy (SMA) actuators in high-technology applications is increasing; however, there exist technical challenges to the commercial application of SMA actuator technologies, especially associated with actuation duration. Excessive activation duration results in actuator damage due to overheating while excessive deactivation duration is not practical for high-frequency applications. Analytical and finite difference equation models were developed in this work to predict the activation and deactivation durations and associated SMA thermomechanical behavior under variable environmental and design conditions. Relevant factors, including latent heat effect, induced stress and material property variability are accommodated. An existing constitutive model was integrated into the proposed models to generate custom SMA stressstrain curves. Strong agreement was achieved between the proposed numerical models and experimental results; confirming their applicability for predicting the behavior of SMA actuators with variable thermomechanical conditions. B Jaronie Mohd Jani

show abstract

Section: Mechanical Energymentioning

confidence: 99%

Section: Mechanical Energymentioning

confidence: 99%

Section: The Convective Heat Transfer Coefficientmentioning

confidence: 99%

Section: Stress-strain Constitutive Modelmentioning

confidence: 99%

Section: Stress-strain Constitutive Modelmentioning

confidence: 99%

See 3 more Smart Citations

Numerical modeling of shape memory alloy linear actuator

et al. 2015

View full text Add to dashboard Cite

show abstract

Numerical Analysis of Shape Memory Alloy Pipe Joint in Aerospace Hydraulic System

Liu

Xin

2023

Lecture Notes in Mechanical Engineering

View full text Add to dashboard Cite

A thermodynamical formulation for the constitutive modeling of a shape memory alloy with two martensite phases

Rizzoni

Marfia

2014

Meccanica

View full text Add to dashboard Cite

This paper presents a thermodynamical formulation for the one-dimensional constitutive model for shape memory alloys (SMAs) proposed by the authors in Marfia and Rizzoni (Eur J Mech A Solids 40: 166-185, 2013) and able to describe the pseudo-elastic and shape memory effects and the martensite detwinning. The model takes into account the asymmetric behavior in tension and compression and the different elastic properties of the three phases considered for the SMA material: austenite, tensile and compressive martensite. A new formulation based on two specific energy potentials, the Helmholtz and the Gibbs free energies, is proposed. For the two potentials an expression is given, depending on the martensite volume fractions taken as internal variables, and incorporating a mixing energy of the three phases as proposed in Fremond (C R Acad Sci Paris 304: 239-244, 1987). An original analysis of the non dissipative and dissipative processes is carried out in the general framework of tension-compression asymmetry and different elastic properties of the three phases; in particular, in the dissipative case the non-negativity of the dissipation is used to restrict evolutive processes. The numerical procedure developed in Marfia and Rizzoni (Eur J Mech A Solids 40: 166-185, 2013) is applied to time integrate the evolutive equations of the internal variables. Applications are carried out in order to verify the effectiveness of the proposed model and to compare the numerical results of the model with the experimental results, available in the literature

show abstract

Constitutive model of shape memory alloys: Theoretical formulation and experimental validation

Cited by 24 publications

References 34 publications

Numerical modeling of shape memory alloy linear actuator

Numerical modeling of shape memory alloy linear actuator

Numerical Analysis of Shape Memory Alloy Pipe Joint in Aerospace Hydraulic System

A thermodynamical formulation for the constitutive modeling of a shape memory alloy with two martensite phases

Contact Info

Product

Resources

About