A constitutive level-set model for shape memory polymers and shape memory polymeric composites

Arvanitakis, Antonios I.

doi:10.1007/s00419-019-01553-w

Cited by 17 publications

(6 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Substituting the expression of the virtual work done by internal forces shown in Equation (22) and the expression of the virtual work done by external forces shown in Equation ( 23) into expression of virtual work principle shown in Equation (20), we can conclude…”

Section: Solution Of Deflection Curvementioning

confidence: 99%

“…Li and Liu 19 combined the shape memory effect with the vitrification transformation and established the SMP constitutive model combining phase transition and viscoelasticity. Arvanitakis 20 used the level set method to establish the level set framework, proposed the constitutive model of SMP based on the small strain model, and studied the thermodynamic behavior of SMP. Through previous studies, the SMP constitutive model has been continuously developed, and shape memory performance of SMP can be more accurately described, and the deficiency has been gradually made up, which promotes the development of practical application of SMP.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Modeling thermo‐mechanical behaviors of carbon nanotube/polyurethane functionally graded shape memory polymer beam

et al. 2021

View full text Add to dashboard Cite

In this paper, a new constitutive model which can model the thermomechanical behaviors of functionally graded shape memory polymer (SMP) beam is established. The kinematic equation was established based on the SMP constitutive equation further derived and Euler-Bernoulli beam theory. The material parameter equations were established by taking the volume fraction of carbon nanotubes (CNT) as the gradient based on the material parameter equations of SMP and properties of functionally graded materials.According to the constitutive model, the simply supported beam was taken for example to be solved and simulated by using the virtual work principle. The results show material parameters properties, deflection properties, stress properties and shape memory properties of CNT/carbon nanotube/polyurethane (PU) functionally graded beam and some conclusions are concluded. This work shows the thermo-mechanical behavior of CNT/PU functionally graded beam, and it provides a theoretical basis for the practical application of functionally graded SMP materials.

show abstract

Section: Solution Of Deflection Curvementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Modeling thermo‐mechanical behaviors of carbon nanotube/polyurethane functionally graded shape memory polymer beam

et al. 2021

View full text Add to dashboard Cite

show abstract

“…The main difference is that they used a generalized Maxwell model with an equilibrium branch and three non-equilibrium branches for the rubbery and glassy phases. In this way, motivated from Liu et al’s (2006) and Baghani et al’s (2012a) models, Arvanitakis (2019) presented a constitutive equation for an epoxy thermoset SMP based on the level-set approach. In this model, the constitutive equation for strain decomposition is similar to Liu et al (2006).…”

Section: Modeling Thermo-responsive Smpsmentioning

confidence: 99%

“…They proposed constitutive equations with differently deformed crystalline phases to elucidate the behavior of crystallizable fiber networks. Then, based on the carried out experiments on an amorphous epoxy matrix and crystallizable PCL fiber networks from Ge et al (2014), a small strain model was introduced by Arvanitakis (2019). This model is similar to Liu et al (2006) and Baghani et al’s (2012a) model, despite the evolution law and frozen volume fraction function are different and defined based on the level-set approach.…”

Section: Modeling Thermo-responsive Smpsmentioning

confidence: 99%

“…Shape recovery, 3D, large deformation, semicrystalline SMP, thermoplastic Du et al 20192019 A styrene P.T. Shape recovery, 1D, small deformation, amorphous SMP, thermoset Arvanitakis (2019) 2019 An epoxy-PCL P.T. Shape recovery, 3D, small deformation, semicrystalline SMP composite, thermoset + thermoplastic SMP: shape memory polymer; PFSA: perfluorosulfonic acid; PCL: poly(e-caprolactone); PPD: poly(v-pentadecalactone); UMAT: user material; 1D: one-dimensional; 3D: three-dimensional.…”

Section: Modeling Smp Compositesmentioning

confidence: 99%

See 1 more Smart Citation

A comprehensive review on thermomechanical constitutive models for shape memory polymers

Yarali

Taheri

Baghani

2020

Journal of Intelligent Material Systems and Structures

View full text Add to dashboard Cite

Shape memory polymers are a class of smart materials, which are capable of fixing their deformed shapes, and can return to their original shape in reaction to external stimulus such as heat. Also due to their exceptional properties, they are mostly used in four-dimensional printing applications. To model and investigate thermomechanical response of shape memory polymers mathematically, several constitutive equations have been developed over the past two decades. The purpose of this research is to provide an up-to-date review on structures, classifications, applications of shape memory polymers, and constitutive equations of thermally responsive shape memory polymers and their composites. First, a comprehensive review on the properties, structure, and classifications of shape memory polymers is conducted. Then, the proposed models in the literature are presented and discussed, which, particularly, are focused on the phase transition and thermo-viscoelastic approaches for conventional, two-way as well as multi-shape memory polymers. Then, a statistical analysis on constitutive relations of thermally activated shape memory polymers is carried out. Finally, we present a summary and give some concluding remarks, which could be helpful in selection of a suitable shape memory polymer constitutive model under a typical application.

show abstract

Effect of temperature and filler volume fraction on the creep and recovery behaviour of MWCNT–COOH–reinforced polypropylene films

Khare

Kamle

2020

Arch Appl Mech

View full text Add to dashboard Cite

A constitutive level-set model for shape memory polymers and shape memory polymeric composites

Cited by 17 publications

References 20 publications

Modeling thermo‐mechanical behaviors of carbon nanotube/polyurethane functionally graded shape memory polymer beam

Modeling thermo‐mechanical behaviors of carbon nanotube/polyurethane functionally graded shape memory polymer beam

A comprehensive review on thermomechanical constitutive models for shape memory polymers

Effect of temperature and filler volume fraction on the creep and recovery behaviour of MWCNT–COOH–reinforced polypropylene films

Contact Info

Product

Resources

About