Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/emerald-publishing/a-unified-simulation-for-effects-of-gellan-polymer-concentrations-on-foUkgye5oK
References (31)
-
Lu Yuan, Zhi-Xiang Gu, Z. Yin, H. Xiao (2015)
New compressible hyper-elastic models for rubberlike materialsActa Mechanica, 226
-
Xiaoming Wang, Hao Li, Z. Yin, H. Xiao (2014)
MULTIAXIAL STRAIN ENERGY FUNCTIONS OF RUBBERLIKE MATERIALS: AN EXPLICIT APPROACH BASED ON POLYNOMIAL INTERPOLATIONRubber Chemistry and Technology, 87
-
J. Fitzgerald (1980)
A tensorial Hencky measure of strain and strain rate for finite deformationsJournal of Applied Physics, 51
-
Zhi-Xiang Gu, Lu Yuan, Z. Yin, H. Xiao (2015)
A multiaxial elastic potential with error-minimizing approximation to rubberlike elasticityActa Mechanica Sinica, 31
-
Bitoh Yohsuke, K. Urayama, T. Takigawa, K. Ito (2011)
Biaxial strain testing of extremely soft polymer gelsSoft Matter, 7
-
H. Xiao (2013)
An explicit, direct approach to obtain multi-axial elastic potentials which accurately match data of four benchmark tests for rubbery materials—Part 2: general deformationsActa Mechanica, 224
-
K. Ribeiro, M. Rodrigues, E. Sabadini, R. Cunha (2004)
Mechanical properties of acid sodium caseinate-κ-carrageenan gels: effect of co-solute additionFood Hydrocolloids, 18
-
Yu-yu Zhang, Hao Li, Xiaoming Wang, Z. Yin, H. Xiao (2014)
Direct determination of multi-axial elastic potentials for incompressible elastomeric solids: an accurate, explicit approach based on rational interpolationContinuum Mechanics and Thermodynamics, 26
-
R. Hill (1970)
Constitutive inequalities for isotropic elastic solids under finite strainProceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 314
-
Hao Li, Yu-yu Zhang, Xiaoming Wang, Z. Yin, H. Xiao (2014)
Obtaining multi-axial elastic potentials for rubber-like materials via an explicit, exact approach based on spline interpolationActa Mechanica Solida Sinica, 27
-
H. Xiao (2015)
Elastic potentials with best approximation to rubberlike elasticityActa Mechanica, 226
-
Juming Tang, M. Tung, J. Lelièvre, Y. Zeng (1997)
Stress-strain relationships for gellan gels in tension, compression and torsionJournal of Food Engineering, 31
-
C. Pierre, S. Datta, R. Datta, A. Talma (2006)
Chemistry of Various Accelerators in an E-SBR Model CompoundRubber Chemistry and Technology, 79
-
Yu-yu Zhang, Hao Li, H. Xiao (2014)
Further study of rubber-like elasticity: elastic potentials matching biaxial dataApplied Mathematics and Mechanics, 35
-
H. Xiao, X. Ding, Jie Cao, Z. Yin (2017)
New multi-axial constitutive models for large elastic deformation behaviors of soft solids up to breakingInternational Journal of Solids and Structures, 109
-
C. Horgan, Jeremiah Murphy (2009)
A generalization of Hencky’s strain-energy density to model the large deformations of slightly compressible solid rubbersMechanics of Materials, 41
-
H. Xiao, Liangsen Chen (2003)
Hencky’s logarithmic strain and dual stress–strain and strain–stress relations in isotropic finite hyperelasticityInternational Journal of Solids and Structures, 40
-
L. Anand (1979)
On H. Hencky’s Approximate Strain-Energy Function for Moderate DeformationsJournal of Applied Mechanics, 46
-
D. Jones, L. Treloar (1975)
The properties of rubber in pure homogeneous strainJournal of Physics D, 8
-
Lidan Yu, Tianfu Jin, Z. Yin, H. Xiao (2015)
A model for rubberlike elasticity up to failureActa Mechanica, 226
-
H. Xiao (2005)
Hencky Strain and Hencky Model: Extending History and Ongoing TraditionMultidiscipline Modeling in Materials and Structures, 1
-
H. Xiao (2012)
An explicit, direct approach to obtaining multiaxial elastic potentials that exactly match data of four benchmark tests for rubbery materials—part 1: incompressible deformationsActa Mechanica, 223
-
J. Diani, P. Gilormini (2005)
Combining the logarithmic strain and the full-network model for a better understanding of the hyperelastic behavior of rubber-like materialsJournal of The Mechanics and Physics of Solids, 53
-
Jie Cao, X. Ding, Z. Yin, H. Xiao (2017)
Large elastic deformations of soft solids up to failure: new hyperelastic models with error estimationActa Mechanica, 228
-
Tianfu Jin, Lidan Yu, Z. Yin, H. Xiao (2015)
Bounded elastic potentials for rubberlike materials with strain‐stiffening effectsZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 95
-
J. Criscione, J. Humphrey, A. Douglas, W. Hunter (2000)
An invariant basis for natural strain which yields orthogonal stress response terms in isotropic hyperelasticityJournal of The Mechanics and Physics of Solids, 48
-
M. Spotti, Martina Perduca, A. Piagentini, L. Santiago, A. Rubiolo, C. Carrara (2013)
Gel mechanical properties of milk whey protein–dextran conjugates obtained by Maillard reactionFood Hydrocolloids, 31
-
A. Drozdov, J. Christiansen (2013)
Stress–strain relations for hydrogels under multiaxial deformationInternational Journal of Solids and Structures, 50
-
Lidan Yu, Tianfu Jin, Z. Yin, H. Xiao (2015)
Multi-axial strain-stiffening elastic potentials with energy bounds: explicit approach based on uniaxial dataApplied Mathematics and Mechanics, 36
-
C. Horgan, G. Saccomandi (2006)
Phenomenological Hyperelastic Strain-Stiffening Constitutive Models for RubberRubber Chemistry and Technology, 79
-
A. Bot, I. Amerongen, R. Groot, N. Hoekstra, W. Agterof (1996)
Large deformation rheology of gelatin gelsPolymer Gels and Networks, 4
- Publisher
- Emerald Publishing
- Copyright
- © Emerald Publishing Limited
- ISSN
- 1573-6105
- DOI
- 10.1108/mmms-12-2018-0218
- Publisher site
- See Article on Publisher Site
Abstract
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/approachFor 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.FindingsThen, 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/valueA 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.
Journal
Multidiscipline Modeling in Materials and Structures – Emerald Publishing
Published: Aug 8, 2019
Keywords: Elastic potential; Gellan gels; Gellan polymer concentration; Hencky strain; Large elastic deformation; Simultaneous simulation