New multi-axial constitutive models for large elastic deformation behaviors of soft solids up to breaking

Xiao, Heng; Ding, Xie-Fei; Cao, Jie; Yin, Zheng‐Nan

doi:10.1016/j.ijsolstr.2017.01.013

Cited by 7 publications

(8 citation statements)

References 57 publications

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“…However, slight compressibility effects are expected for realistic materials. Results may be obtained by developing the procedures in Xiao (2013), Yuan et al (2015) and Xiao et al (2017). This will be taken into consideration in future study.…”

Section: Discussionmentioning

confidence: 99%

“…With these new forms of elastic potentials, simulation results (Li et al , 2014; Wang et al , 2014; Zhang et al , 2013, 2014) are derived by means of interpolating procedures with polynomials, rational functions and spline functions, separately, and compared with classic data in Treloar (1975), Jones and Treloar (1975), etc. ; further results (Gu et al , 2015; Yuan et al , 2015; Jin et al , 2015; Yu et al , 2015a, b) are obtained based on Hermite interpolating procedures; and, most recently, results are extended to large strain responses up to breaking (Cao et al , 2016; Xiao et al , 2017).…”

Section: Introductionmentioning

confidence: 99%

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A unified simulation for effects of gellan polymer concentrations on large strain elastic behaviors of gellan gels

Ding

Zhan

et al. 2019

MMMS

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Purpose A direct and unified approach is proposed toward simultaneously simulating large strain elastic behaviors of gellan gels with different gellan polymer concentrations. The purpose of this paper is to construct an elastic potential with certain parameters of direct physical meanings, based on well-designed invariants of Hencky’s logarithmic strain. Design/methodology/approach For each given value of the concentration, the values of the parameters incorporated may be determined in the sense of achieving accurate agreement with large strain uniaxial extension and compression data. By means of a new interpolating technique, each parameter as a function of the concentration is then obtained from a given set of parameter values for certain concentration values. Findings Then, the effects of gellan polymer concentrations on large strain elastic behaviors of gellan gels are studied in demonstrating how each parameter relies on the concentration. Plane-strain (simple shear) responses are also presented for gellan gels with different polymer concentrations. Originality/value A direct, unified approach was proposed toward achieving a simultaneous simulation of large elastic strain behaviors of gellan gels for different gellan polymer concentrations. Each parameter incorporated in the proposed elastic potential will be derived as a function of the polymer concentration in an explicit form, in the very sense of simultaneously simulating large strain data for different concentrations.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A unified simulation for effects of gellan polymer concentrations on large strain elastic behaviors of gellan gels

Ding

Zhan

et al. 2019

MMMS

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“…The explicit formulations of Equations ( 6), ( 8) and ( 9) may be determined by the test data by means of rational interpolation, which will be explained in the following context. Additionally, Equation ( 7) can be deduced from Equation ( 6), as shown in Xiao et al [29].…”

Section: One-dimensional Potentialsmentioning

confidence: 99%

“…A compressible multi-axial potential may be derived from the one-dimensional potentials and the specific invariants by using a generalized procedure of Hermite interpolation, as shown in Yuan et al [28] and Xiao et al [29], which accounts for the energy dissipation. The new unified potential is expressed as follows:…”

Section: Compressible Multi-axial Potentialmentioning

confidence: 99%

“…The purpose of this article is to establish a compressible multi-axial potential with thermodynamic consistency to model the three benchmark tests of uniaxial tension/compression, equal-biaxial tension/compression, and plane strain tension/compression in the processes of first loading, second loading, and third loading after thermal annealing. A departure from the previous studies in [25,26], Wang et al [27], Yuan et al [28], and Xiao et al [29] is that two new parameters are introduced into the new model: one parameter characterizing energy dissipation to account for stress softening in the second loading, and another one called weight factor that represents the percentage of recovery of the Mullins effect.…”

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confidence: 95%

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Explicitly Modeling Stress Softening and Thermal Recovery for Rubber-like Materials

Wang

Xiao

2022

Symmetry

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Rubber-like materials exhibit stress softening when subject to loading–unloading cycles, i.e., the Mullins effect. However, this phenomenon can be recovered after annealing the previously stretched sample under a stress-free state. The aim of this paper is to establish a constitutive model with thermodynamic consistency to account for the stress softening and thermal recovery. Towards this goal, (i) an explicit form of Helmholtz free energy can be found such that the restrictions from thermodynamic law can be satisfied; (ii) a compressible, multi-axial strain-energy function considering energy dissipation is proposed by introducing specific invariants; (iii) a unified shape function based on the symmetry property of the test data in a one-dimensional case with stress softening and thermal recovery is provided by introducing a weight variant; (iv) it is proven that the new potential can automatically reduce to the one-dimensional case, i.e., uniaxial tension, equal biaxial, or plane strain; (v) numerical results for model validation are exactly matched with classical experimental data.

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Macroporous temperature‐sensitive gels with fast response: Comparison of preparation methods

Drozdov¹,

Christiansen²

2018

J of Applied Polymer Sci

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Application of thermo-responsive gels as soft actuators for microfluidic devices with repeating "open-close" cycles requires high rates of water transport driven by changes in temperature. These rates are conventionally evaluated by comparison of water retention curves in T-jump tests with fixed initial and final temperatures. A shortcoming of this method is that it does not allow changes in diffusivity with temperature to be assessed quantitatively. To characterize cooperative diffusivity of water molecules, we propose a novel approach based on modeling the responses of temperature-sensitive gels in equilibrium swelling tests and T-jump experiments. Analysis of observations on poly(N-isopropylacrylamide) gels synthesized in aqueous solutions of pore-forming agents reveals that formation of a macroporous structure in a gel is a necessary, but not sufficient condition for acceleration of water transport. The effect of cosolvents used under preparation (phenol, ethanol, methanol, diethyl ether, dioxane, sucrose, and dodecyl dimethyl benzyl ammonium bromide) on water diffusivity is studied in detail. It is shown that the most pronounced enhancement of diffusivities under deswelling and reswelling is reached when the gels are synthesized in aqueous solutions of the surfactant at subzero temperatures.

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New multi-axial constitutive models for large elastic deformation behaviors of soft solids up to breaking

Cited by 7 publications

References 57 publications

A unified simulation for effects of gellan polymer concentrations on large strain elastic behaviors of gellan gels

A unified simulation for effects of gellan polymer concentrations on large strain elastic behaviors of gellan gels

Explicitly Modeling Stress Softening and Thermal Recovery for Rubber-like Materials

Macroporous temperature‐sensitive gels with fast response: Comparison of preparation methods

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