Constitutive modeling of the mechanics associated with crystallizable shape memory polymers

G. Barot, I. J. Rao

Research output: Contribution to journalArticlepeer-review

102 Scopus citations


Shape memory polymers are novel materials that can be easily formed into complex shapes, retaining memory of their original shape even after undergoing large deformations. The temporary shape is stable and return to the original shape is triggered by a suitable mechanism such as heating. In this paper, we develop constitutive equations to model the mechanical behavior of crystallizable shape memory polymers. Crystallizable shape memory polymers are called crystallizable because the temporary shape is fixed by a crystalline phase, while return to the original shape is due to the melting of this crystalline phase. The modeling is done using a framework that was developed recently for studying crystallization in polymers ([28], [25], [27], [31]) and is based on the theory of multiple natural configurations. In this paper we formulate constitutive equations for the original amorphous phase and the semi-crystalline phase that is formed after the onset of crystallization. In addition we model the melting of the crystalline phase to capture the return of the polymer to its original shape. The model has been used to simulate a typical uni-axial cycle of deformation, the results of this simulation compare very well with experimental data. In addition to this we also simulate circular shear of a hollow cylinder and present results for different cases in this geometry.

Original languageEnglish (US)
Pages (from-to)652-681
Number of pages30
JournalZeitschrift fur Angewandte Mathematik und Physik
Issue number4
StatePublished - Jul 2006

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • General Physics and Astronomy
  • Applied Mathematics


  • Circular shear
  • Crystallization
  • Multiple natural configurations
  • Shape memory polymers


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