Effect of randomly distributed voids on effective linear and nonlinear elastic properties of isotropic materials

2021 ◽  
Vol 216 ◽  
pp. 83-93
Author(s):  
James Vidler ◽  
Andrei Kotousov ◽  
Ching-Tai Ng
Polymers ◽  
2021 ◽  
Vol 13 (23) ◽  
pp. 4120
Author(s):  
Loïc Hilliou

Gelling carrageenans are polysaccharides extracted from the Gigartinales order of red algae. These are additives used essentially in the food industry for texturizing, stabilizing or gelling various formulations. Although a consensual gel mechanism has been reached which encompasses a coil-to-helix transition followed by the self-assembling of helices in a network, the structure–elastic relationships in the network are still to be clearly established. This paper reviews the reports in which carrageenan gel structures have been systematically compared with gel elastic properties. The focus is on the sizes documented for structural units, such as strands, aggregates, voids or network meshes, as well as on the reported linear and nonlinear elastic characteristics. The insufficient rationalization of carrageenan gel elasticity by models which take on board mechanically relevant structural features is underlined. After introducing selected linear and nonlinear elastic models, preliminary results comparing such models to structural and rheological data are presented. In particular, the concentration scaling of the strain hardening exhibited by two types of carrageenan gels is discussed.


2018 ◽  
Vol 5 (12) ◽  
pp. 25966-25970
Author(s):  
Alexandr I. Korobov ◽  
Viyacheslav M. Prokhorov ◽  
Alexey I. Kokshaiskiy ◽  
Natalia V. Shirgina

2017 ◽  
Vol 140 ◽  
pp. 15033
Author(s):  
Laure Lemrich ◽  
Paul Johnson ◽  
Robert Guyer ◽  
Xiaoping Jia ◽  
Jan Carmeliet

1975 ◽  
Vol 37 (4) ◽  
pp. 509-520 ◽  
Author(s):  
R L Wesly ◽  
R N Vaishnav ◽  
J C Fuchs ◽  
D J Patel ◽  
J C Greenfield

2020 ◽  
Vol 90 (6) ◽  
pp. 954
Author(s):  
А.И. Коробов ◽  
А.И. Кокшайский ◽  
Н.В. Ширгина ◽  
Н.И. Одина ◽  
А.А. Агафонов ◽  
...  

The results of studies of shear elastic properties of a high-temperature superconducting (HTSC) of YBa2Cu3O7 - x ceramics in the vicinity of the phase transition to the superconducting state at at a temperature of 91.3 K, as well as at room temperature of 293 K are presented. For the first time, a local increase in the shear nonlinear acoustic parameter N was investigated. Experimental studies of the linear and nonlinear elastic properties of HTSC ceramics YBa2Cu3O7 - x in the region of the superconducting transition showed that the electronic phase transition has significant influence on its elastic properties. Based on the results of experimental measurements linear and nonlinear elastic parameters were determined both at room temperature and in the region phase transition temperature.


2015 ◽  
Vol 14 (5) ◽  
pp. 1119-1128 ◽  
Author(s):  
Yi Jiang ◽  
Guoyang Li ◽  
Lin-Xue Qian ◽  
Si Liang ◽  
Michel Destrade ◽  
...  

2017 ◽  
Vol 09 (06) ◽  
pp. 1750080 ◽  
Author(s):  
Yuri Astapov ◽  
Dmitrii Khristich ◽  
Alexey Markin ◽  
Marina Sokolova

The problem of construction of constitutive relations in nonlinear elasticity theory for crystals and quasicrystals is associated with finding the construction of the structure of tensors of elastic modules of 2nd and 3rd orders. In the case of linear constitutive relations, the problem is entirely solved for crystals and some quasicrystals. In the case of nonlinear relations, the quantity of nonzero elastic modules of the 3rd order is known only for some classes of crystals. The problem of construction of nonlinear constitutive relations for quasicrystal materials has not been considered. In this article, representations of linear and nonlinear elastic properties of crystals and quasicrystals in the form of decompositions by special invariant tensor bases are considered. This allows us to concretize constitutive relations for icosahedral and axial quasicrystals. It is shown that axial quasicrystals’ behavior towards elastic properties coincides with transversal-isotropic materials. Icosahedral quasicrystals’ behavior matches with the isotropic materials’ one. On the basis of the obtained decompositions of nonlinear elasticity tensors for axial quasicrystals having a symmetry plane and for graphene films with and without defects, the analysis of their mechanical behavior at some types of loading is fulfilled. It is shown that differences in the behavior of these materials appear only in the second order effects.


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