A viscoelastic constitutive model for shape memory polymers based on multiplicative decompositions of the deformation gradient

Li, Yunxin; He, Yuhao; Liu, Zishun

doi:10.1016/j.ijplas.2017.04.004

Cited by 81 publications

(33 citation statements)

References 62 publications

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“…Under the same boundary condition, the stress evolution paths during heating almost exactly overlay the stress-temperature curves during cooling, which is also in agreement with the experimental observations. Li et al [2017a] provided a phase-evolution-based constitutive model which is quite similar to previous phenomenological models. However, the frozen strain in these models is considered to be only temperature dependent.…”

Section: Phenomenological Models Of Smp Considering Rate Effectmentioning

confidence: 98%

“…Shortly after, researchers attempted to combine both the viscoelasticity and phase transition of SMPs in the constitutive models. Li et al [2017a] proposed a phase-evolution-based thermomechanical constitutive model which can capture the SME of amorphous SMPs with viscoelastic properties of polymers and the phase transition phenomenon. Later, improved upon this method and proposed a new model which could not only provide an exact prediction of the rate-dependent shape memory behaviors, but also describe the creep and stress relaxation of the SMPs with a clear physical interpretation.…”

Section: -4mentioning

confidence: 99%

“…(2.5) Li et al [2017a] proposed a novel phase transition-based viscoelastic model based on the complicated multiplicative decomposition of the deformation gradient. In rubbery phase, two incompressible hyperplastic elements and one viscous damper were introduced to represent the viscoelastic behaviors of SMPs.…”

Section: Preliminary Formulas Of Deformationmentioning

confidence: 99%

“…Intending to overcome the disadvantages, researchers combined both the viscoelastic and the phase transition theories together to establish a new framework of constitutive models for SMPs. Based on multiplicative decompositions of the deformation gradient, Li et al [2017a] proposed a novel phase transition-based viscoelastic model for SMPs which also includes the time-factor. Here, the definition of the molecular mechanism of SMPs is similar to the concepts of Leng et al [2011], in which the network of SMPs is crosslinked and reoriented under an external load, where a reversible phase (secondary crosslinks) will appear during the cooling process to lock the deformed shape which then disappears at the heating recovery stage.…”

Section: Constitutive Models Combining Viscoelasticity and Phase Tranmentioning

confidence: 99%

See 3 more Smart Citations

Recent Advances of the Constitutive Models of Smart Materials — Hydrogels and Shape Memory Polymers

Huang

Zheng

Liu

et al. 2020

Int. J. Appl. Mechanics

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182

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Hydrogels and shape memory polymers (SMPs) possess excellent and interesting properties that may be harnessed for future applications. However, this is not achievable if their mechanical behaviors are not well understood. This paper aims to discuss recent advances of the constitutive models of hydrogels and SMPs, in particular the theories associated with their deformations. On the one hand, constitutive models of six main types of hydrogels are introduced, the categorization of which is defined by the type of stimulus. On the other hand, constitutive models of thermal-induced SMPs are discussed and classified into three main categories, namely, rheological models; phase transition models; and models combining viscoelasticity and phase transition, respectively. Another feature in this paper is a summary of the common hyperelastic models, which can be potentially developed into the constitutive models of hydrogels and SMPs. In addition, the main advantages and disadvantages of these constitutive modes are discussed. In order to provide a compass for researchers involved in the study of mechanics of soft materials, some research gaps and new research directions for hydrogels and SMPs constitutive modes are presented. We hope that this paper can serve as a reference for future hydrogel and SMP studies.

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Section: Phenomenological Models Of Smp Considering Rate Effectmentioning

confidence: 98%

Section: -4mentioning

confidence: 99%

Section: Preliminary Formulas Of Deformationmentioning

confidence: 99%

Section: Constitutive Models Combining Viscoelasticity and Phase Tranmentioning

confidence: 99%

See 2 more Smart Citations

Recent Advances of the Constitutive Models of Smart Materials — Hydrogels and Shape Memory Polymers

Huang

Zheng

Liu

et al. 2020

Int. J. Appl. Mechanics

Self Cite

182

View full text Add to dashboard Cite

show abstract

“…In view of the fact that many constitutive models developed in previous work were only based on specific materials, Liu et al established a constitutive model based on the multiplicative decomposition of deformation gradient, which can describe large deformation of different types of SMPs. This model considers that the occurrence of phase transition is caused by the sudden formation and disappearance of reversible phase, but the phase transition should be from one phase to another [67]. Subsequently, Liu et al further established a new constitutive model capable of degenerating into pure elasticity when the viscosity of the material is neglected [68].…”

Section: Deformations and Stresses Fmentioning

confidence: 99%

Mechanical Models, Structures, and Applications of Shape-Memory Polymers and Their Composites

Xin

Liu

et al. 2019

Acta Mech. Solida Sin.

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Shape-memory polymers (SMPs) and their composite materials are stimuliresponsive materials that have the unique characteristics of lightweight, large deformation, variable stiffness, and biocompatibility. This paper reviews the research status of the mechanical models for SMPs, shape-memory nanocomposites and shape-memory polymer composites (SMPCs); it also introduces some spatially deployable structures, such as hinges, beams, and antennae based on SMPCs. In addition, the deformation types of 4D printing structures and the potential applications of this technology in robots and medical devices are also summarized.The mechanism of shape-memory cycles and the mechanical behavior of SMPs can be described by establishing thermomechanical models, which lay the theoretical foundations for the rational design of SMP structures. This section will focus on the constitutive models for SMPs, the micromechanical models of SMPNs, and the buckling behavior of SMPCs.

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A Periodic Deformation Mechanism of a Soft Actuator for Crawling and Grasping

Huang

2019

Adv Materials Technologies

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Periodic locomotion in nature has provided many inspirations for soft actuators. Compared with rigid actuators, soft actuators can transform into versatile shapes to adapt to different working environments and are able to interact with the human in a safer manner because of their compliance. However, soft actuators often suffer from complex structures designs and complicated sequences of stimuli to achieve periodic locomotion. To overcome this shortcoming, a periodic deformation mechanism based on strain energy storing is proposed in this paper. Guided by this mechanism, a simple soft actuator is designed without complicated control systems. The soft actuator involves shape memory alloy and silicon rubber. Crawling and grasping of the soft actuator are achieved by electrical heating methods. The proposed mechanism can provide inspiration for the design of soft actuators, smart wearable equipment, and medical devices.

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A viscoelastic constitutive model for shape memory polymers based on multiplicative decompositions of the deformation gradient

Cited by 81 publications

References 62 publications

Recent Advances of the Constitutive Models of Smart Materials — Hydrogels and Shape Memory Polymers

Recent Advances of the Constitutive Models of Smart Materials — Hydrogels and Shape Memory Polymers

Mechanical Models, Structures, and Applications of Shape-Memory Polymers and Their Composites

A Periodic Deformation Mechanism of a Soft Actuator for Crawling and Grasping

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