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A thermodynamically-consistent 3 D constitutive model for shape memory polymers

Baghani, M ; Sharif University of Technology | 2012

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  1. Type of Document: Article
  2. DOI: 10.1016/j.ijplas.2012.01.007
  3. Publisher: Elsevier , 2012
  4. Abstract:
  5. The ever increasing applications of shape memory polymers have motivated the development of appropriate constitutive models for these materials. In this work, we present a 3 D constitutive model for shape memory polymers under time-dependent multiaxial thermomechanical loadings in the small strain regime. The derivation is based on an additive decomposition of the strain into six parts and satisfying the second law of thermodynamics in Clausius-Duhem inequality form. In the constitutive model, the evolution laws for internal variables are derived during both cooling and heating thermomechanical loadings. The viscous effects are also fully accounted for in the proposed model. Further, we present the time-discrete form of the evolution equations in the implicit form. The model is validated by comparing the predicted results with different experimental data reported in the literature. Finally, using the finite element method, we solve two boundary value problems e.g., a 3 D beam and a medical stent made of shape memory polymers
  6. Keywords:
  7. Finite element ; Shape memory polymers ; Additive decomposition ; Clausius-Duhem inequality ; Continuum thermodynamics ; Evolution equations ; Evolution law ; Experimental data ; Implicit form ; Internal variables ; Medical stent ; Multiaxial ; Numerical solution ; Second Law of Thermodynamics ; Small strains ; Thermo-mechanical loading ; Time-dependent ; Two boundary value problems ; Viscous effect ; Constitutive models ; Finite element method ; Functional polymers ; Shape memory effect ; Thermodynamics ; Three dimensional
  8. Source: International Journal of Plasticity ; Volume 35 , 2012 , Pages 13-30 ; 07496419 (ISSN)
  9. URL: http://www.sciencedirect.com/science/article/pii/S0749641912000083