A constitutive model for strain hardening behavior of predeformed amorphous polymers: Incorporating dissipative dynamics of molecular orientation

Tian, Chuanshuai

doi:10.1016/j.jmps.2019.01.008

Cited by 46 publications

(9 citation statements)

References 48 publications

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“…While hot programming is popular for thermally triggered SMPs, it needs the heating and cooling steps and is energy-consuming. Therefore, cold programming, that is, programming isothermally at the glassy state, has also been proposed (Li and Xu, 2011b;Li and Shojaei, 2012;Li, 2014;Li and Wang, 2016;Xiao and Tian, 2019). The requirement is that the load applied during cold programming must cause yielding and plastic deformation of the SMPs.…”

Section: Introductionmentioning

confidence: 99%

Insight in thermomechanical constitutive modeling of shape memory polymers

Shojaei

Xu²,

Yan

et al. 2022

Front. Mech. Eng.

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Shape memory polymers (SMPs) are a new member of the smart materials family. SMPs have found wide applications or potential applications in almost all manmade structures and devices. In order to better design smart structures and devices using SMPs, thermomechanical constitutive modeling is essential. In this insight paper, we will focus on presenting several multi-length-scale and multi-physics modeling frameworks, including the thermodynamics consistent model, elasto-viscoplastic model, statistical mechanics model, and phase evaluation law model. The SMPs modeled will include amorphous one-way shape memory polymers, semicrystalline one-way shape memory polymers, semicrystalline two-way shape memory polymers, and functional and mechanical damage effects on SMPs. Finally, we will give some in-depth perspectives on future development in this area of study.

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Section: Introductionmentioning

confidence: 99%

Insight in thermomechanical constitutive modeling of shape memory polymers

Shojaei

Xu²,

Yan

et al. 2022

Front. Mech. Eng.

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“…In their proposed model, Langevin spring is in parallel with Eyring dashpot, then in series with a constant Hooke spring. This concept of construction of constitutive models has influenced all constitutive model developments up to nowadays . In the spring–dashpot frame, Hooke spring can be changed to hyperelastic spring.…”

Section: Model Discussionmentioning

confidence: 99%

A Mathematical Model for Amorphous Polymers Based on Concepts of Reptation Theory

Yang

2019

Polymer Engineering & Sci

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Mechanical behaviors of amorphous polymers have been investigated in all aspects from macroscopic thermodynamics to molecular dynamics in past five decades. Most models either have too complex mathematics or can only explain mechanical behaviors of specific materials under certain defined conditions. In this article, a mathematical model is proposed to understand mechanical behaviors of amorphous polymers with aid of the concepts of reptation theory. This new model is capable to match most experimental results of different amorphous polymers for a wide range of time and temperature effect from rubber zone to glassy zone. Above glass transitional temperature, the model shows hyperelastic behavior. Below glass transitional temperature, elastic–viscoplastic properties can be obtained. In the proposed model, no yielding surface is assumed. Hyperelasticity and Mullin's effect are illustrated in a different way without assuming strain energy function in advance. Yielding stress is controlled by Young's moduli, defect density, and defect velocity of molecular chains. Anisotropic plasticity is simply controlled by anisotropic Young's moduli. Therefore, no additional anisotropic parameters are needed to define anisotropic yielding surface. Strain rate, temperature, and hydrostatic pressure effects on yielding stress are through their effect on Young's moduli. Linear elastic, hyperelastic, viscoelastic, and viscoplastic models are put into one single equation, which makes the mathematical structure very easy to understand and easy to use. This model is validated by comparing with five existed experimental data. Proposed model also shares some features similar to the old well‐known large deformation models for amorphous polymers. POLYM. ENG. SCI., 59:2335–2346, 2019. © 2019 Society of Plastics Engineers

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“…[9,10] Multi-SME in the SMPs has attracted extensive attention due to their capabilities of shape recovery step by step, [11] which creates great potentials for the practical applications in smart textiles, artificial intelligence robots, bio-medical engineering. [12,13] Hyper-branched polymer is a popular functional material and consisted of multiple arms connected to a central core. [14,15] The core can be an atom, a molecule, or a macromolecule, while the arms are consisted of homogeneous or heterogeneous macromolecular chains.…”

Section: Introductionmentioning

confidence: 99%

A Methodology of Hydrodynamic Complexity in Topologically Hyper‐Branched Polymers Undergoing Hierarchical Multiple Relaxations

Wang

Hossain

et al. 2020

Macro Chemistry & Physics

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A hydrodynamic model was proposed to describe conformational relaxation of molecules, viscoelasticity of arms and hierarchical multiple-shape memory effect (multi-SME) of hyperbranched polymer. Fox-Flory and Boltzmann's principles were employed to characterize and predict the hierarchical relaxations and their multi-SMEs in hyper-branched polymers. A constitutive relationship among relaxation time, molecular weight, glass transition temperature and viscoelastic modulus was then formulated. Results revealed that molecular weight and number of arms of the topologically hyper-branched polymers significantly influence their hydrodynamic relaxations and shape memory behaviors. The effectiveness of model has been demonstrated by applying it to predict mechanical and shape recovery behaviors of hyper-branched polymers, and the theoretical results show good agreements with the experimental ones. We expect this study provides an effective guidance on designing multi-SME in topologically hyper-branched polymers.

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A constitutive model for strain hardening behavior of predeformed amorphous polymers: Incorporating dissipative dynamics of molecular orientation

Cited by 46 publications

References 48 publications

Insight in thermomechanical constitutive modeling of shape memory polymers

Insight in thermomechanical constitutive modeling of shape memory polymers

A Mathematical Model for Amorphous Polymers Based on Concepts of Reptation Theory

A Methodology of Hydrodynamic Complexity in Topologically Hyper‐Branched Polymers Undergoing Hierarchical Multiple Relaxations

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