Coupled thermomechanical modelling of shape memory alloy structures undergoing large deformation

Kundu, Animesh; Banerjee, Atanu

doi:10.1016/j.ijmecsci.2022.107102

Cited by 14 publications

(5 citation statements)

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“…Beams manufactured from shape memory alloys have been intensively investigated due to their superb actuation and energy harvesting capabilities [42][43][44]. Although analytical models can be very useful for quick concept validation and preliminary design studies [45][46][47], full-scale FEM simulations are often indispensable in detailed studies [42,44,48,49], since they are not constrained by assumptions on a particular geometry, material response, boundary conditions, etc. The simulated problem mimics a simple beam with a rectangular cross-section (with its width being half of the height) loaded at both ends and supported in the middle so that bending is invoked.…”

Section: Example 3: Bending Of a Shape Memory Alloy Beammentioning

confidence: 99%

“…A uniform temperature of 25 • C was considered during the whole simulation, and hence superelastic behavior was induced. Let us remind the reader that the current work adopted small strain and isothermality assumptions; a discussion of the influence of such premises on the results of computational simulations of shape memory beams can be found in [49]. The deformed configurations overlaid with contour plots showing the distribution of the volume fraction of martensite in each computational increment are shown in Figure 5.…”

Section: Example 3: Bending Of a Shape Memory Alloy Beammentioning

confidence: 99%

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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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Section: Example 3: Bending Of a Shape Memory Alloy Beammentioning

confidence: 99%

Section: Example 3: Bending Of a Shape Memory Alloy Beammentioning

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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“…Previous studies were based on heuristic arrangements of regular-geometry SMA actuators and traditional elastic structures to obtain the required actuation deformation. Numerically, the macroscopic [19][20][21][22] and microscopic [23][24][25] models have been studied to theoretically predict the superelasticity, shape memory effects and "training" effects of SMA materials and structures. Conventional SMA actuator configurations (such as beams, springs, and strips) integrated with elastic structures have been optimized to achieve the target shapes [26][27][28], resulting in limited actuation modes for smart morphing structures.…”

Section: Introductionmentioning

confidence: 99%

Topology Optimization of Shape Memory Alloy Actuators for Prescribed Two-Way Transforming Shapes

Yang,

Luo,

Yuan

et al. 2024

Actuators

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This paper proposes a new topology optimization formulation for obtaining shape memory alloy actuators which are designed with prescribed two-way transforming shapes. The actuation behaviors of shape memory alloy structures are governed by austenite-martensite phase transformations effected by thermal-mechanical loading processes; therefore, to realize the precise geometric shape variations of shape memory alloy actuators, traditional methods involve iteration processes including heuristic structural design, numerical predictions and experimental validation. Although advanced structural optimization methods such as topology optimization have been used to design three-dimensional (3D) shape memory alloy actuators, the maximization/minimization of quantities such as structural compliance or inaccurate stroke distances has usually been selected as the optimization objective to obtain feasible solutions. To bridge the gap between precise shape-morphing requirements and efficient shape memory alloy actuator designs, this paper formulates optimization criteria with quantitatively desired geometric shapes, and investigates the automatic designs of two-way prescribed shape morphing shape memory alloy structures based on the proposed topology optimization method. The super element method and adjoint method are used to derive the analytical sensitivities of the objective functions with respect to the design variables. Numerical examples demonstrate that the proposed method can obtain 3D actuator designs that have the desired two-way transforming shapes.

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“…This property makes them suitable for use in vibration control systems, thus improving the seismic per formance of structures. SMAs are also among the smart materials that have the capability to recover their pristine shape after a significant deformation of about 8% strain [2][3][4][5][6]. Thi shape recovery is due to either stress-or temperature-induced phase transformations Owing to their distinct self-centering capability, SMAs can be used in different civil engi neering applications.…”

Section: Introductionmentioning

confidence: 99%

Superelastic Nickel–Titanium (NiTi)-Based Smart Alloys for Enhancing the Performance of Concrete Structures

2023

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Recent advances in materials science have led to the development of smart materials that can continuously adapt to different loading conditions and changing environment to meet the growing demand for smart structural systems. The unique characteristics of superelastic NiTi shape memory alloys (SMAs) have attracted the attention of structural engineers worldwide. SMAs are metallic materials that can retrieve their original shape upon exposure to various temperatures or loading/unloading conditions with minimal residual deformation. SMAs have found increasing applications in the building industry because of their high strength, high actuation and damping capacities, good durability, and superior fatigue resistance. Despite the research conducted on the structural applications of SMAs during the previous decades, the existing literature lacks reviews on their recent uses in building industry such as prestressing concrete beams, seismic strengthening of footing–column connections, and fiber-reinforced concrete. Furthermore, scarce research exists on their performance under corrosive environments, elevated temperatures, and intensive fires. Moreover, the high manufacturing cost of SMA and the lack of knowledge transfer from research to practice are the main obstacles behind their limited use in concrete structures. This paper sheds light on the latest progress made in the applications of SMA in reinforced concrete structures during the last two decades. In addition, the paper concludes with the recommendations and future opportunities associated with expanding the use of SMA in civil infrastructures.

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Coupled thermomechanical modelling of shape memory alloy structures undergoing large deformation

Cited by 14 publications

References 50 publications

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

Topology Optimization of Shape Memory Alloy Actuators for Prescribed Two-Way Transforming Shapes

Superelastic Nickel–Titanium (NiTi)-Based Smart Alloys for Enhancing the Performance of Concrete Structures

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