Constitutive modeling of SMA SMP multifunctional high performance smart adaptive shape memory composite

Jarali, Chetan S and Raja, S and Upadhya, AR (2010) Constitutive modeling of SMA SMP multifunctional high performance smart adaptive shape memory composite. Smart Materials and Structures, 19 (10). ISSN 0964-1726

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Abstract

Materials design involving the thermomechanical constitutive modeling of shape memory alloy (SMA) and shape memory polymer (SMP) composites is a key topic in the development of smart adaptive shape memory composites (SASMC). In this work, a constitutive model for SASMC is developed. First, a one-dimensional SMA model, which can simulate the pseudoelastic (PE) and shape memory effects (SME) is presented. Subsequently, a one-dimensional SMP model able to reproduce the SME is addressed. Both SMA and SMP models are based on a single internal state variable, namely the martensite fraction and the frozen fraction, which can be expressed as a function of temperature. A consistent form of the analytical solution for the SMP model is obtained using the fourth-order Runge–Kutta method. Finally, the SASMC constitutive model is proposed, following two analytical homogenization approaches. One approach is based on an equivalent inclusion method and the other approach is the rule of mixtures. The SMA and SMP constitutive models are validated independently with experimental results. However, the validation of the composite model is performed using the two homogenization approaches and a close agreement in results is observed. Results regarding the isothermal and thermomechanical stress–strain responses are analyzed as a function of SMA volume fraction. Further, it is concluded that the proposed composite model is able to reproduce consistently the overall composite response by taking into consideration not only the phase transformations, variable modulus and transformation stresses in SMA but also the variable modulus, the evolution of stored strain and thermal strain in the SMP.

Item Type: Journal Article
Additional Information: Copyright for this article belongs to Institute of Physics Publishing
Uncontrolled Keywords: Deformation and plasticity;Elasticity and anelasticity; Stress-strain relations;Kf Martensitic transformations;;Lm Deformation;Plasticity and creep;Heat and thermomechanical treatments;Solid–solid transitions
Subjects: AERONAUTICS > Aeronautics (General)
ENGINEERING > Fluid Mechanics and Thermodynamics
ENGINEERING > Mechanical Engineering
ENGINEERING > Structural Mechanics
Division/Department: Other, Structures Division, Structures Division
Depositing User: Ms. Alphones Mary
Date Deposited: 26 Mar 2012 11:34
Last Modified: 26 Mar 2012 11:34
URI: http://nal-ir.nal.res.in/id/eprint/10388

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