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

Xie-Fei Ding (Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai, China)
Lin Zhan (School of Mechanics and Construction Engineering & MOE Key Lab of Disaster Forecast and Control in Engineering, Guangzhou, China)
Hui-Feng Xi (School of Mechanics and Construction Engineering & MOE Key Lab of Disaster Forecast and Control in Engineering, Guangzhou, China)
Heng Xiao (Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai, China) (School of Mechanics and Construction Engineering & MOE Key Lab of Disaster Forecast and Control in Engineering, Guangzhou, China)

Multidiscipline Modeling in Materials and Structures

ISSN: 1573-6105

Article publication date: 8 August 2019

Issue publication date: 8 August 2019

Abstract

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.

Keywords

Citation

Ding, X.-F., Zhan, L., Xi, H.-F. and Xiao, H. (2019), "A unified simulation for effects of gellan polymer concentrations on large strain elastic behaviors of gellan gels", Multidiscipline Modeling in Materials and Structures, Vol. 15 No. 5, pp. 859-870. https://doi.org/10.1108/MMMS-12-2018-0218

Publisher

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Emerald Publishing Limited

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