Comparison of linear and nonlinear elastic moduli for rocks by use of a granular medium model

1994 ◽  
Vol 95 (5) ◽  
pp. 2893-2893
Author(s):  
Irina Yu. Belyaeva ◽  
Lev A. Ostrovsky ◽  
Alexander M. Sutin ◽  
Vladimir Yu. Zaitsev
Keyword(s):  
Granular Medium ◽  
Elastic Moduli ◽  
Medium Model ◽  
Linear And Nonlinear ◽  
Nonlinear Elastic

Comparison of linear and nonlinear elastic moduli for reservoir rock by use of a granular medium model

1996 ◽  
Vol 99 (3) ◽  
pp. 1360-1365 ◽  
Author(s):  
I. Yu. Belyaeva ◽  
L. A. Ostrovsky ◽  
V. Yu. Zaitsev ◽  
V. Stefan ◽  
A. M. Sutin
Keyword(s):  
Granular Medium ◽  
Elastic Moduli ◽  
Reservoir Rock ◽  
Medium Model ◽  
Linear And Nonlinear ◽  
Nonlinear Elastic

scholarly journals Structure–Elastic Properties Relationships in Gelling Carrageenans

Polymers ◽  
2021 ◽  
Vol 13 (23) ◽  
pp. 4120
Author(s):  
Loïc Hilliou
Keyword(s):  
Elastic Properties ◽  
Red Algae ◽  
Food Industry ◽  
Structural Features ◽  
The Self ◽  
Structural Units ◽  
Self Assembling ◽  
Linear And Nonlinear ◽  
Nonlinear Elastic ◽  
Elastic Characteristics

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.

scholarly journals Laboratory study of linear and nonlinear elastic pulse propagation in a sandstone bar

2018 ◽  
Author(s):  
Thomas G. Muir ◽  
John M. Cormack ◽  
Charles M. Slack ◽  
Mark F. Hamilton
Keyword(s):  
Laboratory Study ◽  
Pulse Propagation ◽  
Linear And Nonlinear ◽  
Nonlinear Elastic

Linear and nonlinear elastic properties of isostatic graphite and graphite of MPG-7 brand

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

Nonlinear Elastic Analysis of the Hardness Test on Rubber-Like Materials

1991 ◽  
Vol 64 (2) ◽  
pp. 202-210 ◽  
Author(s):  
W. V. Chang ◽  
S. C. Sun
Keyword(s):  
Finite Element ◽  
Linear Elasticity ◽  
Elastic Moduli ◽  
Indentation Depth ◽  
Nonlinear Effects ◽  
Hardness Test ◽  
Constitutive Law ◽  
Total Load ◽  
Depth Difference ◽  
Nonlinear Elastic

Abstract Both the Ogden-Tschoegl nonlinear elastic constitutive law and a contact algorithm in the general-purpose finite-element program AFEM have been used to examine the use of IRHD values to relate the elastic properties of elastomers. We are aware that large deformations of rubber specimens and complicated interface conditions are involved in this so-called simple test. However, from the finite-element results, we find that the linearly elastic Hertz contact solution is a reasonably accurate model. This can be attributed to several points. First, the hardness test involves mainly compression and shear deformation and the linearly elastic behavior is more closely followed in rubbers for the above two types of deformation. Second, although nonlinear effects become significant in soft rubbers and higher indentation cases, the ASTM D 1415 standard defines larger indentation depth differences for smaller IRHD values. The definition itself compensates for the nonlinear effects. Third, although the interfacial stress field changed due to different frictional conditions, we calculated the IRHD values only from indentation depth difference and total load applied to the steel ball. Both the indentation depth difference and the total load are obtained from far-field conditions and do not change significantly. We should note that using linear elasticity to correlate the elastic moduli and IRHD values is simply a special case in rubber elasticity. We conveniently get rubber's elastic moduli from IRHD values based on linear elasticity, but the complete rubber-like material behavior has to be obtained from more general experiments and described by a nonlinear constitutive law such as the Ogden-Tschoegl model.

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