3D hierarchical multiscale analysis of heterogeneous SMA based materials

Dehaghani, Peyman Fatemi; Ardakani, Saeed Hatefi; Bayesteh, H.; Mohammadi, Soheil

doi:10.1016/j.ijsolstr.2017.04.025

Cited by 25 publications

(6 citation statements)

References 45 publications

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“…Several homogenization methods are available in the literature to calculate the homogenized properties of heterogeneous materials; including the classical homogenization method (Dvorak, 1992; Mori and Tanaka, 1973), the first and second order homogenization methods (Geers et al. , 2010; Kouznetsova, 2004), enrichment-based methods (Bayesteh and Mohammadi, 2017; Fish and Yuan, 2007), the eigenstrain method (Oskay and Fish, 2007) and the asymptotic homogenization method (Dehaghani et al. , 2017; Fish et al.…”

Section: Hierarchical Multiscale Homogenization Formulationmentioning

confidence: 99%

“…The homogenization method considers an RVE, which possesses the microscopic details of the heterogeneous material at each macro point, to capture the homogenized properties at that point. Several homogenization methods are available in the literature to calculate the homogenized properties of heterogeneous materials; including the classical homogenization method (Dvorak, 1992;Mori and Tanaka, 1973), the first and second order homogenization methods (Geers et al, 2010;Kouznetsova, 2004), enrichment-based methods (Bayesteh and Mohammadi, 2017;Fish and Yuan, 2007), the eigenstrain method (Oskay and Fish, 2007) and the asymptotic homogenization method (Dehaghani et al, 2017;Fish et al, 1997;Hassani and Hinton, 1998;Ram ırez-Torres et al, 2019). Here, the adopted multiscale approach in the large strain regime is discussed.…”

Section: Hierarchical Multiscale Homogenization Formulationmentioning

confidence: 99%

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3D large strain hierarchical multiscale analysis of soft fiber-reinforced tissues: application to a degraded arterial wall

Ardakani

Dehaghani

Moslemzadeh

et al. 2022

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PurposeThe purpose is to analyze the mechanical behavior of the arterial wall in the degraded region of the arterial wall and to determine the stress distribution, as an important factor for predicting the potential failure mechanisms in the wall. In fact, while the collagen fiber degradation process itself is not modeled, zones with reduced collagen fiber content (corresponding to the degradation process) are assumed. To do so, a local weakness in the media layer is considered by defining representative volume elements (RVEs) with different fiber collagen contents in the degraded area to investigate the mechanical response of the arterial wall.Design/methodology/approachA three-dimensional (3D) large strain hierarchical multiscale technique, based on the homogenization and genetic algorithm (GA), is utilized to numerically model collagen fiber degradation in a typical artery. Determination of material constants for the ground matrix and collagen fibers in the microscale level is performed by the GA. In order to investigate the mechanical degradation, two types of RVEs with different collagen contents in fibers are considered. Each RVE is divided into two parts of noncollagenous matrix and collagen fiber, and the part of collagen fiber is further divided into matrix and collagen fibrils.FindingsThe von Mises stress distributions on the inner and outer surfaces of the artery and the influence of collagen fiber degradation on thinning of the arterial wall in the degraded area are thoroughly studied. Comparing the maximum stress values on outer and inner surfaces in the degraded region shows that the inner surface is under higher stress states, which makes it more prone to failure. Furthermore, due to the weakness of the artery in the degraded area, it is concluded that the collagen fiber degradation considerably reduces the wall thickness in the degraded area, leading to an observable local inflation across the degraded artery.Originality/valueConsidering that little attention has been paid to multiscale numerical modeling of collagen fiber degradation, in this paper a 3D large strain hierarchical multiscale technique based on homogenization and GA methods is presented. Therefore, while the collagen fiber degradation process itself is not modeled in this study, zones with reduced collagen fiber content (corresponding to the degradation process) are assumed.

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Section: Hierarchical Multiscale Homogenization Formulationmentioning

confidence: 99%

Section: Hierarchical Multiscale Homogenization Formulationmentioning

confidence: 99%

3D large strain hierarchical multiscale analysis of soft fiber-reinforced tissues: application to a degraded arterial wall

Ardakani

Dehaghani

Moslemzadeh

et al. 2022

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“…The authors have developed this FE

approach on the ABAQUS platform for SMA-based composites; see Xu et al [ 39 ] for more detailed formulations. Related valuable works on multiscale modeling of SMA composite could be also referred to, such as Kohlhaas and Klinkel [ 37 ], Chatzigeorgiou et al [ 38 ], Chatzigeorgiou et al [ 44 ] and Fatemi Dehaghani et al [ 45 ].…”

Section: Structural Responsementioning

confidence: 99%

A Multiscale Analysis on the Superelasticity Behavior of Architected Shape Memory Alloy Materials

Bouby

Zahrouni

et al. 2018

Materials

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In this paper, the superelasticity effects of architected shape memory alloys (SMAs) are focused on by using a multiscale approach. Firstly, a parametric analysis at the cellular level with a series of representative volume elements (RVEs) is carried out to predict the relations between the void fraction, the total stiffness, the hysteresis effect and the mass of the SMAs. The superelasticity effects of the architected SMAs are modeled by the thermomechanical constitutive model proposed by Chemisky et al. 2011. Secondly, the structural responses of the architected SMAs are studied by the multilevel finite element method (FE2), which uses the effective constitutive behavior of the RVE to represent the behavior of the macroscopic structure. This approach can truly couple the responses of both the RVE level and structural level by the real-time information interactions between two levels. Through a three point bending test, it is observed that the structure inherits the strong nonlinear responses—both the hysteresis effect and the superelasticity—of the architected SMAs at the cellular level. Furthermore, the influence of the void fraction at the RVE level to the materials’ structural responses can be more specifically and directly described, instead of using an RVE to predict at the microscopic level. Thus, this work could be referred to for optimizing the stiffness, the hysteresis effect and the mass of architected SMA structures and extended for possible advanced applications.

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“…Thanks to the super-elastic property, SMAs are capable of recovering their initial configuration under pure mechanical loading/ unloading process in their austenite phase. Among several related studies [7][8][9][10][11][12][13][14][15], Alipour et al [7] proposed a new damping system using a combination of pseudoelastic NiTi SMA wires as the damping system and a bias spring to supply the restoring force. Parameter studies such as the temperature effect of on the dissipation energy revealed that by increasing the temperature from 25 • C to 50 • C results in 5% drop in the dissipation energy.…”

Section: Introductionmentioning

confidence: 99%

Self-centering of steel braced frames equipped with Fe-SMA TADAS dampers

Torabizadeh,

Foyouzat,

Asghari

et al. 2024

Smart Mater. Struct.

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This study proposes a novel triangular added damping and stiffness (TADAS) damper that uses the shape memory effect (SME) of iron-based shape memory alloy (Fe-SMA) to provide a self-centering system to recover the initial shape of a structure after significant inelastic deformation induced by nonlinear response of fused elements, without the need for difficult and expensive replacement procedures of conventional TADAS systems. Unlike most studies which consider simplified uniaxial behavior of Fe-SMAs, the present non-linear finite element simulations cover the full 3D material non-linearity of Fe-SMA component based on the SMA constitutive law to capture both flexural and shear behavior in various coupled thermomechanical loadings, including the mechanical loading/unloading, the heating, and the final cooling (as the recovering process). Simulations performed on a one-bay steel frame for different drift ratios reveal that although the dissipation energy of the new device is at most 10% less than the ordinary one, it enjoys the self-centering property to recover the initial shape of the frame before loading, showing that the proposed damper is an effective alternative to ordinary TADAS yielding dampers to achieve the self-centering characteristics.

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3D hierarchical multiscale analysis of heterogeneous SMA based materials

Cited by 25 publications

References 45 publications

3D large strain hierarchical multiscale analysis of soft fiber-reinforced tissues: application to a degraded arterial wall

3D large strain hierarchical multiscale analysis of soft fiber-reinforced tissues: application to a degraded arterial wall

A Multiscale Analysis on the Superelasticity Behavior of Architected Shape Memory Alloy Materials

Self-centering of steel braced frames equipped with Fe-SMA TADAS dampers

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