A 3D finite strain phenomenological constitutive model for shape memory alloys considering martensite reorientation |
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Authors: | J. Arghavani F. Auricchio R. Naghdabadi A. Reali S. Sohrabpour |
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Affiliation: | 1. Department of Mechanical Engineering, Sharif University of Technology, 11155-9567, Tehran, Iran 2. Dipartimento di Meccanica Strutturale, Università degli Studi di Pavia, Pavia, Italy 3. Center for Advanced Numerical Simulation (CeSNA), IUSS, Pavia, Italy 4. European Centre for Training and Research in Earthquake Engineering (EUCENTRE), Pavia, Italy 5. Institute for Nano-Science and Technology, Sharif University of Technology, 11155-9567, Tehran, Iran 6. Department of Engineering Sciences, The Academy of Sciences of IR Iran, Tehran, Iran
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Abstract: | Most devices based on shape memory alloys experience both finite deformations and non-proportional loading conditions in engineering applications. This motivates the development of constitutive models considering finite strain as well as martensite variant reorientation. To this end, in the present article, based on the principles of continuum thermodynamics with internal variables, a three-dimensional finite strain phenomenological constitutive model is proposed taking its basis from the recent model in the small strain regime proposed by Panico and Brinson (J Mech Phys Solids 55:2491–2511, 2007). In the finite strain constitutive model derivation, a multiplicative decomposition of the deformation gradient into elastic and inelastic parts, together with an additive decomposition of the inelastic strain rate tensor into transformation and reorientation parts is adopted. Moreover, it is shown that, when linearized, the proposed model reduces exactly to the original small strain model. |
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