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An investigation on multilayer shape memory polymers under finite bending through nonlinear thermo-visco-hyperelasticity

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  • 1. School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran 1417935840, Iran;
    2. Department of Mechanical Engineering, Sharif University of Technology, Tehran 1458889694, Iran

Received date: 2022-08-16

  Revised date: 2022-10-30

  Online published: 2022-12-24

Supported by

the Iran National Science Foundation (INSF) (No. 98027408)

Abstract

This study presents a semi-analytical solution to describe the behavior of shape memory polymers (SMPs) based on the nonlinear thermo-visco-hyperelasticity which originates from the concepts of internal state variables and rational thermodynamics. This method is developed for the finite bending of multilayers in a dual-shape memory effect (SME) cycle. The layer number and layering order are investigated for two different SMPs and a hyperelastic material. In addition to the semi-analytical solution, the finite element simulation is performed to verify the predicted results, where the outcomes demonstrate the excellent accuracy of the proposed solution for predicting the behavior of the multilayer SMPs. Since this method has a much lower computational cost than the finite element method (FEM), it can be used as an effective tool to analyze the SMP behavior under different conditions, including different materials, different geometries, different layer numbers, and different layer arrangements.

Cite this article

A. BAKHTIYARI, M. BAGHANI, S. SOHRABPOUR . An investigation on multilayer shape memory polymers under finite bending through nonlinear thermo-visco-hyperelasticity[J]. Applied Mathematics and Mechanics, 2023 , 44(1) : 73 -88 . DOI: 10.1007/s10483-023-2952-6

References

[1] DERLET, P. M., DUFRESNE, E. R., BORISOVA, E., HEYDERMAN, L. J., TESTA, P., STYLE, R. W., CUI, J. Z., and DONNELLY, C. Magnetically addressable shape-memory and stiffening in a composite elastomer. Advanced Materials, 31, 1900561(2019)
[2] WAN, X., ZHANG, F. H., LIU, Y. J., and LENG, J. S. CNT-based electro-responsive shape memory functionalized 3D printed nanocomposites for liquid sensors. Carbon, 155, 77–87(2019)
[3] LENDLEIN, A., JIANG, H., JÜNGER, O., and LANGER, R. Light-induced shape-memory polymers. nature, 434, 879–882(2005)
[4] DU S. Y. and LU, H. B. A phenomenological thermodynamic model for the chemo-responsive shape memory effect in polymers based on Flory-Huggins solution theory. Polymer Chemistry, 5, 1155–1162(2014)
[5] LU, H. B., LIU, Y. J., LENG, J. S., and DU, S. Y. Qualitative separation of the physical swelling effect on the recovery behavior of shape memory polymer. European Polymer Journal, 46, 1908– 1914(2010)
[6] YANG, J. Y., ZHENG, Y. N., SHENG, L. J., CHEN, H. M., ZHAO, L. J., YU, W. H., ZHAO, K. Q., and HU, P. Water induced shape memory and healing effects by introducing carboxymethyl cellulose sodium into poly (vinyl alcohol). Industrial & Engineering Chemistry Research, 57, 15046–15053(2018)
[7] BHARGAVA, A., PENG, K. Y., STIEG, J., MIRZAEIFAR, R., and SHAHAB, S. Focused ultrasound actuation of shape memory polymers: acoustic-thermoelastic modeling and testing. RSC Advances, 7, 45452–45469(2017)
[8] CHEN, L., LI, W., LIU, X. P., ZHANG, C., ZHOU, H., and SONG, S. W. Carbon nanotubes array reinforced shape-memory epoxy with fast responses to low-power microwaves. Journal of Applied Polymer Science, 136, 47563(2019)
[9] YENPECH, N., INTASANTA, V., and CHIRACHANCHAI, S. Laser-triggered shape memory based on thermoplastic and thermoset matrices with silver nanoparticles. Polymer, 182, 121792(2019)
[10] YU, K., LIU, Y. J., and LENG, J. S. Shape memory polymer/CNT composites and their microwave induced shape memory behaviors. RSC Advances, 4, 2961–2968(2014)
[11] LENDLEIN, A. and GOULD, O. E. Reprogrammable recovery and actuation behaviour of shapememory polymers. Nature Reviews Materials, 4, 116–133(2019)
[12] LIU, Y. J., DU, H. Y., LIU, L. W., and LENG, J. S. Shape memory polymers and their composites in aerospace applications: a review. Smart Materials and Structures, 23, 023001(2014)
[13] LENDLEIN, A., BEHL, M., HIEBL, B., and WISCHKE, C. Shape-memory polymers as a technology platform for biomedical applications. Expert Review of Medical Devices, 7, 357–379(2010)
[14] HU, J. L., MENG, H., LI, G. Q., and IBEKWE, S. I. A review of stimuli-responsive polymers for smart textile applications. Smart Materials and Structures, 21, 053001(2012)
[15] PRETSCH, T., ECKER, M., SCHILDHAUER, M., and MASKOS, M. Switchable information carriers based on shape memory polymer. Journal of Materials Chemistry, 22, 7757–7766(2012)
[16] ZHANG, J. F., YIN, Z. F., REN, L. Q., LIU, Q. P., REN, L., YANG, X., and ZHOU, X. L. Advances in 4D printed shape memory polymers: from 3D printing, smart excitation, and response to applications. Advanced Materials Technologies, 7, 2101568(2022)
[17] SPIEGEL, C. A., HACKNER, M., BOTHE, V. P., SPATZ, J. P., and BLASCO, E. 4D printing of shape memory polymers: from macro to micro. Advanced Functional Materials (2022) https://doi.org/10.1002/adfm.202110580
[18] TAKASHIMA, K., ROSSITER, J., and MUKAI, T. McKibben artificial muscle using shapememory polymer. Sensors and Actuators A: Physical, 164, 116–124(2010)
[19] SCHÖNFELD, D., CHALISSERY, D., WENZ, F., SPECHT, M., EBERL, C., and PRETSCH, T. Actuating shape memory polymer for thermoresponsive soft robotic gripper and programmable materials. Molecules, 26, 522(2021)
[20] MELLY, S. K., LIU, L. W., LIU, Y. J., and LENG, J. S. Active composites based on shape memory polymers: overview, fabrication methods, applications, and future prospects. Journal of Materials Science, 55, 10975–11051(2020)
[21] XUE, Y. H., LEI, J. C., and LIU, Z. S. A thermodynamic constitutive model for shape memory polymers based on phase transition. Polymer, 243, 124623(2022)
[22] LIU, Y. P., GALL, K., DUNN, M. L., GREENBERG, A. R., and DIANI, J. Thermomechanics of shape memory polymers: uniaxial experiments and constitutive modeling. International Journal of Plasticity, 22, 279–313(2006)
[23] CHEN, Y. C. and LAGOUDAS, D. C. A constitutive theory for shape memory polymers, part I: large deformations. Journal of the Mechanics and Physics of Solids, 56, 1752–1765(2008)
[24] BAGHANI, M., NAGHDABADI, R., ARGHAVANI, J., and SOHRABPOUR, S. A constitutive model for shape memory polymers with application to torsion of prismatic bars. Journal of Intelligent Material Systems and Structures, 23, 107–116(2012)
[25] BAGHANI, M., NAGHDABADI, R., ARGHAVANI, J., and SOHRABPOUR, S. A thermodynamically-consistent 3D constitutive model for shape memory polymers. International Journal of Plasticity, 35, 13–30(2012)
[26] TOBUSHI, H., HASHIMOTO, T., HAYASHI, S., and YAMADA, E. Thermomechanical constitutive modeling in shape memory polymer of polyurethane series. Journal of Intelligent Material Systems and Structures, 8, 711–718(1997)
[27] TOBUSHI, H., OKUMURA, K., HAYASHI, S., and ITO, N. Thermomechanical constitutive model of shape memory polymer. Mechanics of Materials, 33, 545–554(2001)
[28] DIANI, J., LIU, Y., and GALL, K. Finite strain 3D thermoviscoelastic constitutive model for shape memory polymers. Polymer Engineering & Science, 46, 486–492(2006)
[29] DIANI, J., GILORMINI, P., FRÉDY, C., and ROUSSEAU, I. Predicting thermal shape memory of crosslinked polymer networks from linear viscoelasticity. International Journal of Solids and Structures, 49, 793–799(2012)
[30] ARRIETA, S., DIANI, J., and GILORMINI, P. Experimental characterization and thermoviscoelastic modeling of strain and stress recoveries of an amorphous polymer network. Mechanics of Materials, 68, 95–103(2014)
[31] PASINI, C., INVERARDI, N., BATTINI, D., SCALET, G., MARCONI, S., AURICCHIO, F., and PANDINI, S. Experimental investigation and modeling of the temperature memory effect in a 4D-printed auxetic structure. Smart Materials and Structures, 31, 095021(2022)
[32] YARALI, E., BANIASSADI, M., and BAGHANI, M. Numerical homogenization of coiled carbon nanotube reinforced shape memory polymer nanocomposites. Smart Materials and Structures, 28, 035026(2019)
[33] BHATTACHARYYA, A. and JAMES, K. A. Topology optimization of shape memory polymer structures with programmable morphology. Structural and Multidisciplinary Optimization, 63, 1863–1887(2021)
[34] MAO, Y. Q., DING, Z., YUAN, C., AI, S. G., ISAKOV, M., WU, J. T., WANG, T. J., and DUNN, M. L. 3D printed reversible shape changing components with stimuli responsive materials. Scientific Reports, 6, 24761(2016)
[35] YUAN, C., DING, Z., WANG, T. J., DUNN, M. L., and QI, H. J. Shape forming by thermal expansion mismatch and shape memory locking in polymer/elastomer laminates. Smart Materials and Structures, 26, 105027(2017)
[36] ZUBAIR, Z., L’HOSTIS, G., and GODA, I. Electrical activation and shape recovery control of 3D multilayer woven shape memory polymer composite incorporating carbon fibers. Materials Letters, 291, 129511(2021)
[37] GODA, I., ZUBAIR, Z., L’HOSTIS, G., and DREAN, J. Y. Design and characterization of 3D multilayer woven reinforcements shape memory polymer composites. Journal of Composite Materials, 55, 653–673(2021)
[38] BAKHTIYARI, A., BANIASADI, M., and BAGHANI, M. Development of a large strain formulation for multiple shape-memory-effect of polymers under bending. International Journal of Mechanical Sciences, 204, 106560(2021)
[39] ROCCABIANCA, S., GEI, M., and BIGONI, D. Plane strain bifurcations of elastic layered structures subject to finite bending: theory versus experiments. IMA Journal of Applied Mathematics, 75, 525–548(2010)
[40] PASHAZADEH, J., AMIRI, A., TAHERI, A., and BAGHANI, M. A finite strain analytical solution for stress-softening of hyperelastic materials under cyclic bending. International Journal of Applied Mechanics, 13, 2150014(2021)
[41] HOLZAPFEL, A. G. Nonlinear Solid Mechanics II, John Wiley & Sons, Inc., New York (2000)
[42] HOLZAPFEL, G. A. On large strain viscoelasticity: continuum formulation and finite element applications to elastomeric structures. International Journal for Numerical Methods in Engineering, 39, 3903–3926(1996)
[43] WILLIAMS, M. L., LANDEL, R. F., and FERRY, J. D. The temperature dependence of relaxation mechanisms in amorphous polymers and other glass-forming liquids. Journal of the American Chemical Society, 77, 3701–3707(1955)
[44] DI MARZIO, E. A. and YANG, A. J. M. Configurational entropy approach to the kinetics of glasses. Journal of Research of the National Institute of Standards and Technology, 102, 135(1997)
[45] BANIASADI, M., FOYOUZAT, A., and BAGHANI, M. Multiple shape memory effect for smart helical springs with variable stiffness over time and temperature. International Journal of Mechanical Sciences, 182, 105742(2020)
[46] FAN, P. X., CHEN, W. J., ZHAO, B., HU, J. H., GAO, J. F., FANG, G. Q., and PENG, F. J. Formulation and numerical implementation of tensile shape memory process of shape memory polymers. Polymer, 148, 370–381(2018)
[47] YARALI, E., NOROOZI, R., MOALLEMI, A., TAHERI, A., and BAGHANI, M. Developing an analytical solution for a thermally tunable soft actuator under finite bending. Mechanics Based Design of Structures and Machines, 50, 1793–1807(2020)
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