Analysis of the finite deformation response of shape memory polymers: II. 1D calibration and numerical implementation of a finite deformation, thermoelastic model

This study presents the analysis of the finite deformation response of a shape memory polymer (SMP). This two-part paper addresses the thermomechanical characterization of SMPs, the derivation of material parameters for a finite deformation phenomenological model, the numerical implementation of such a model, and the predictions from the model with comparisons to experimental data. Part II of this work presents the calibration of a previously developed thermoelastic constitutive model which is capable of handling finite deformations. The model is proposed in a general three-dimensional framework; however, this work focuses on reducing the model to one dimension and subsequently calibrating the model using experimental data obtained in part I. The one-dimensional numerical implementation of the model is presented, including the handling of the system of nonlinear equations and the integral term resulting from the constitutive model. The model is then used to predict the uniaxial shape memory effect. Results indicate good agreement between the model predictions and the experimental results, but the predictions do not capture the irrecoverable deformation present at the end of recovery.

[1]  S. Miyazaki,et al.  Shape memory materials and hybrid composites for smart systems: Part II Shape-memory hybrid composites , 1998 .

[2]  Chris Henry,et al.  Variable stiffness materials for reconfigurable surface applications , 2005, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[3]  Brent L. Volk,et al.  Characterization of Nonlinear Rate Dependent Response of Shape Memory Polymers , 2007 .

[4]  Qing-Qing Ni,et al.  Mechanical and shape memory behavior of composites with shape memory polymer , 2004 .

[5]  Thao D. Nguyen,et al.  Finite deformation thermo-mechanical behavior of thermally induced shape memory polymers , 2008 .

[6]  D. Maitland,et al.  Shape‐memory behavior of thermally stimulated polyurethane for medical applications , 2007 .

[7]  G. Karst,et al.  Thermomechanical Characterization of Shape Memory Polymers , 2009 .

[8]  Yiping Liu,et al.  Thermomechanics of shape memory polymers: Uniaxial experiments and constitutive modeling , 2006 .

[9]  Hisaaki Tobushi,et al.  Thermomechanical Constitutive Modeling in Shape Memory Polymer of Polyurethane Series , 1997 .

[10]  Dimitris C. Lagoudas,et al.  Aerospace applications of shape memory alloys , 2007 .

[11]  D. Ratna,et al.  Recent advances in shape memory polymers and composites: a review , 2008 .

[12]  Chris Henry,et al.  Cellular variable stiffness materials for ultra-large reversible deformations in reconfigurable structures , 2006, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[13]  M. Lake,et al.  Shape memory polymer nanocomposites , 2002 .

[14]  S. Miyazaki,et al.  Shape-memory materials and hybrid composites for smart systems: Part I Shape-memory materials , 1998 .

[15]  Thao D. Nguyen,et al.  A thermoviscoelastic model for amorphous shape memory polymers: Incorporating structural and stress relaxation , 2008 .

[16]  Dimitris C. Lagoudas,et al.  A constitutive theory for shape memory polymers. Part I: Large deformations , 2008 .

[17]  W. Cheney,et al.  Numerical analysis: mathematics of scientific computing (2nd ed) , 1991 .

[18]  Brent L. Volk,et al.  Analysis of the finite deformation response of shape memory polymers: I. Thermomechanical characterization , 2010 .

[19]  Dimitris C. Lagoudas,et al.  A constitutive theory for shape memory polymers. Part II: A linearized model for small deformations , 2008 .

[20]  I. J. Rao,et al.  Constitutive modeling of the mechanics associated with crystallizable shape memory polymers , 2006 .

[21]  M. Gurtin,et al.  An introduction to continuum mechanics , 1981 .

[22]  Dimitris C. Lagoudas,et al.  Thermomechanical characterization of the nonlinear rate-dependent response of shape memory polymers , 2008, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[23]  Hisaaki Tobushi,et al.  Shape Fixity and Shape Recovery in a Film of Shape Memory Polymer of Polyurethane Series , 1998 .

[24]  A. Bhattacharyya,et al.  Analysis of the isothermal mechanical response of a shape memory polymer rheological model , 2000 .

[25]  Hisaaki Tobushi,et al.  Thermomechanical constitutive model of shape memory polymer , 2001 .

[26]  Justin Manzo,et al.  Methodology for Design of an Active Rigidity Joint , 2009 .