Micromechanics of composites with shape memory alloy fibers in uniform thermal fields

Birman, Victor; Saravanos, Dimitris A.; Hopkins, Dale A.

doi:10.2514/3.13324

Cited by 44 publications

(32 citation statements)

References 12 publications

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“…Examples of the closed-form solution for composites including SMA Nitinol spherical particles embedded within an epoxy matrix with the properties identical to those in the paper on fibrous SMA composites by Birman et al [1996] are presented below. Figure 4 shows the shear and elasticity moduli as functions of the martensitic volume fraction, for values of the SMA particle volume fraction equal to 20%, 35%, and 50%, while Figure 5 does the same for the bulk modulus.…”

Section: Numerical Examplesmentioning

confidence: 96%

“…The latter components are negligible in the material experiencing superelastic transformations. The increments of the transformation strain are usually evaluated as functions of the increments of the martensitic volume fraction using an assumption regarding the incremental law; see for example, [Boyd and Lagoudas 1993;Birman et al 1996;Jonnalagadda et al 1998;Jiang and Batra 2002]. An alternative theory [Lu and Weng 2000] treated the martensitic phase as a separate class of inclusions within the austenitic metal.…”

Section: 3mentioning

confidence: 99%

“…The rate of change of the tensor ε t 2 is related to the rate of change of the martensitic volume fraction, using an assumption for the tensor of coefficients in the relationship (called the transformation tensor). This approach implies the use of an incremental technique monitoring the changes in the tensors of strain and stress with the changes in the martensitic volume fraction; see, for example, [Birman et al 1996;Jonnalagadda et al 1998;Jiang and Batra 2002].…”

Section: 3mentioning

confidence: 99%

“…where T is the current temperature, T M S and T A S are the martensite and austenite phase start temperatures at stress-free conditions, and b M , b A , c M , c A are constants [Birman et al 1996].…”

Section: 3mentioning

confidence: 99%

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Effect of elastic or shape memory alloy particles on the properties of fiber-reinforced composites

Birman¹

2009

J. Mech. Solids Struct.

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The paper presents a comprehensive formulation for the analysis of the stiffness and strength of fiberreinforced composites with the matrix enhanced by adding elastic or shape memory alloy (SMA) spheroidal particles. The micromechanical model used to evaluate the stiffness tensor of the matrix with embedded particles is based on the Benveniste version of the Mori-Tanaka theory. In the case of a superelastic shape memory alloy particulate matrix, the stiffness of the particles depends on the martensitic fraction that is in turn affected by the state of stress within the particle. In this case an exact solution for the stiffness tensor of the composite material with elastic fibers and matrix and embedded SMA particles is developed combining the recent macromechanical solution for multi-phase composites with the inverse method of the analysis of SMA. In the particular case, this solution results in explicit formulae for the homogeneous material constants of a SMA particulate material subjected to axial loading. Upon the completion of the stiffness analysis the strengths of a fiber-reinforced material with the matrix containing elastic or SMA particles can be analyzed using the Eshelby solution for the stresses. As follows from numerical examples, elastic spherical particles added to the matrix of a fiber-reinforced composite significantly improve the transverse strength and stiffness of the material, even if the volume fraction of such particles is relatively small. The effect of elastic particles on the longitudinal strength and stiffness is less pronounced. It is also illustrated that the stress-induced transformation of superelastic SMA particles results in significant changes of the properties of SMA particulate composites.

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Section: Numerical Examplesmentioning

confidence: 96%

Section: 3mentioning

confidence: 99%

Section: 3mentioning

confidence: 99%

Section: 3mentioning

confidence: 99%

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Effect of elastic or shape memory alloy particles on the properties of fiber-reinforced composites

Birman¹

2009

J. Mech. Solids Struct.

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“…Constitutive theories for SMAHC structures can be developed from the previously mentioned shape memory models [1][2][3][4], as was done by Boyd and Lagoudas [27] and Birman [28]. However, these models are difficult to use in practice.…”

Section: Constitutive Modelingmentioning

confidence: 99%

SMA Hybrid Composites for Dynamic Response Abatement Applications

Travis

2005

Journal of Vibration and Acoustics

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A recently developed constitutive model and a finite element formulation for predicting the thermomechanical response of SMA hybrid composite (SMAHC) structures is briefly described. Attention is focused on constrained recovery behavior in this study, but the constitutive formulation is also capable of modeling restrained or free recovery. Numerical results are shown for glass/epoxy panel specimens with embedded Nitinol actuators subjected to thermal and acoustic loads. Control of thermal buckling, random response, sonic fatigue, and transmission loss are demonstrated and compared to conventional approaches including addition of conventional composite layers and a constrained layer damping treatment. Embedded SMA actuators are shown to be significantly more effective in dynamic response abatement applications than the conventional approaches and are attractive for combination with other passive and/or active approaches.

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