Thermomechanical coupling in glassy polymers: An effective temperature theory

Tian, Chuanshuai; Xu, Yangguang; Steinmann, Paul

doi:10.1016/j.ijplas.2022.103361

Cited by 26 publications

(5 citation statements)

References 63 publications

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“…A can be regarded as a symmetric positive definite matrix. On condition that the variables Γ , ϑ, m 1 , m 2 , and δ are equal to 0, the following equalities can be derived from equations ( 15)- (23).…”

Section: Fundamentals Of Thermodynamicsmentioning

confidence: 99%

“…The SME of amorphous SMPs is triggered by the glass transition, while the SME of semicrystalline SMPs is dominated by the crystallization and melting transition. Modeling methods describing the behavior of the glass transition can be divided into two categories based on phase transitions and thermoviscoelasticity [23]. In the phase transition modeling approach, amorphous SMPs can be regarded as a mixture of a rubber phase and a glass phase [24][25][26].…”

Section: Introductionmentioning

confidence: 99%

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A thermo-mechanical constitutive model for triple-shape and two-way shape memory polymers

Gu,

Wang,

Zeng

et al. 2024

Smart Mater. Struct.

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Semicrystalline polymers often have diverse molecular configurations in response to the variation of temperature, making it easier to realize multiple or two-way shape memory effects (SMEs). In order to provide guidance for the design of relevant smart structures, it is necessary to develop corresponding constitutive models to better characterize the thermal-mechanical behavior of such shape memory polymers (SMPs). For the first time, a thermo-mechanical finite deformation constitutive model is presented to reveal the deformation mechanism of the triple-shape two-way SME of semicrystalline SMPs in our work, based on the theory of thermodynamics with internal state variables. To verify the validity of the model, the model results are compared with the test data for a typical shape memory cycle. It is found that the model can be employed to describe the non-equilibrium response of semicrystalline SMPs with two types of crystallites in the vicinity of crystallization and melting. Since the model results fit well with the test data, the effectiveness of the model in predicting the triple two-way shape memory behavior is demonstrated.

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Section: Fundamentals Of Thermodynamicsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A thermo-mechanical constitutive model for triple-shape and two-way shape memory polymers

Gu,

Wang,

Zeng

et al. 2024

Smart Mater. Struct.

View full text Add to dashboard Cite

show abstract

“…Structure relaxation and stress relaxation were used to describe the motion of polymer chains from a non-equilibrium state to an equilibrium state [20]. The thermo-mechanical behavior can be described by the temperature-dependent mechanical properties, such as relaxation time, elastic modulus and viscosity [33,35,36]. Moreover, some combined models were proposed by introducing the phase transition theory into the thermo-viscoelastic model [13,[23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

A thermo-viscoelastic constitutive model addressing the cyclic shape memory effect for thermo-induced shape memory polymers

Li¹,

Liang²,

Liu³

et al. 2023

Smart Mater. Struct.

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The cyclic shape memory effect of thermo-induced shape memory polymers (TSMPs) is a typical thermo-mechanical process that can be affected by thermo-mechanical loading histories. During the deformation stage of the cyclic shape memory effect, polymer chains exhibit the initial dissociation of sub-entanglements, slipping and orientation with the increase in the deformation. The strain can be recovered with the internal rotation of the dihedral angle due to the enhancing motion of polymer chains during the reheating. Based on the rheological theory, a thermo-viscoelastic model is proposed to capture the cyclic shape memory effect of TSMPs. A temperature-dependent stress threshold value is introduced to reflect the slipping of polymer chains. In order to take into account how orientation affects the cyclic shape memory effect, a relationship between the strain and orientation is constructed and introduced into the evolution equations of elastic modulus, viscosity and irrecoverable strain. By comparing the experimental and simulated results at different loading levels and numbers of cycles, the proposed model is verified. The results show that the proposed model can reasonably predict the cyclic shape memory effect of TSMPs.

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“…For the amorphous SMPs, the modeling efforts can be traced back to the 1990s. Since then, much fundamental research has been done (Dai and Xiao, 2021;Fan et al, 2020;Li et al, 2017Li et al, , 2018Liu et al, 2022;Wang et al, 2021;Xiao et al, 2022;Xue et al, 2022). Therefore, the modeling approaches are relatively mature.…”

Section: Introductionmentioning

confidence: 99%

Thermo-mechanical modeling of semicrystalline triple shape memory polymers

Bian

Cai

et al. 2023

Journal of Intelligent Material Systems and Structures

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Compared with amorphous shape memory polymers (SMPs), semicrystalline SMPs have more diverse shape memory effects (SMEs) which promotes their application in smart structures. To reveal the driving mechanism of the triple SMEs of semicrystalline SMPs, our study focuses on developing the constitutive model under the condition of finite deformation. In the paper, a thermo-mechanical constitutive model under consideration of the second law of thermodynamics is developed based on the theory of thermodynamics with internal state variables. The model can be used to describe the nonequilibrium response of the amorphous and semicrystalline components in the vicinity of the glass transition, melting, and crystallization. To verify the validity of model, numerical simulation is carried out for a thermo-mechanical shape memory cycle which can be divided into a two-step programing process and a two-step recovery process. The comparison between the model results and the test data shows good agreement.

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Thermomechanical coupling in glassy polymers: An effective temperature theory

Cited by 26 publications

References 63 publications

A thermo-mechanical constitutive model for triple-shape and two-way shape memory polymers

A thermo-mechanical constitutive model for triple-shape and two-way shape memory polymers

A thermo-viscoelastic constitutive model addressing the cyclic shape memory effect for thermo-induced shape memory polymers

Thermo-mechanical modeling of semicrystalline triple shape memory polymers

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