Poisson's ratio and the incompressibility relation for various strain measures with the example of a silica-filled SBR rubber in uniaxial tension tests

2010 ◽  
Vol 29 (3) ◽  
pp. 310-318 ◽  
Author(s):  
O. Starkova ◽  
A. Aniskevich
Holzforschung ◽  
2009 ◽  
Vol 63 (5) ◽  
Author(s):  
Hiroshi Yoshihara

Abstract In this research, Poisson's ratio of plywood as obtained by a tension test was examined by varying the width of the specimen. The tension tests were conducted on five-plywood of lauan (Shorea sp.) with various widths, and Young's moduli and Poisson's ratios of the specimens were measured. Finite element calculations were independently conducted. A comparison of the experimental results with those of finite element analysis revealed that Young's modulus could be obtained properly when the width of the plywood strip varied. In contrast, the width of the plywood strip should be large enough to determine Poisson's ratio properly.


2002 ◽  
Vol 124 (2) ◽  
pp. 223-228 ◽  
Author(s):  
Dawn M. Elliott ◽  
Daria A. Narmoneva ◽  
Lori A. Setton

Articular cartilage has been shown to exhibit large transverse contractions when loaded in tension, suggesting the existence of large values for the Poisson’s ratio. Previous studies have suggested that this effect is dependent on amplitude of applied strain, so that a single Poisson’s ratio may not be sufficient to describe cartilage behavior. In this study, the Poisson’s ratio (ν), toe region modulus Eo, and linear region modulus E of human patellar articular cartilage were calculated in simple tension tests from optical analysis of the two-dimensional strain fields at equilibrium. The Poisson’s ratio was found to be independent of strain due to the absence of viscoelastic effects during testing. The Poisson’s ratio was found to be significantly higher in the surface zone (1.87±1.11, p<0.01) than in the middle zone (0.62±0.23), with no significant correlation of ν with age of the cartilage. In general, values for Poisson’s ratio were greater than 0.5, suggesting cartilage behavior in tension deviates from isotropy. Reported values for the Poisson’s ratio of cartilage in compression have been much lower than values measured here in tension, reflecting a mechanical contribution of the collagen fibers to anisotropy in tension but not compression. The toe-region modulus Eo was significantly higher in the surface zone (4.51±2.78 MPa, n=8) compared to the middle zone (2.51±1.93 MPa, n=10). In addition, the linear-region modulus E in the surface zone, but not middle zone (3.42±2.17 MPa, n=10), was found to correlate with age R=0.97,p<0.02 with values of surface zone E equal to 23.92±12.29 MPa n=5 for subjects under 70 yr of age, and 4.27±2.89 MPa n=3 for subjects over 70 yr. Moduli values and trends with depth were consistent with previous studies of human and animal cartilage. From direct measures of two independent material properties, ν and E, we calculated a shear modulus, G, which had not been previously reported for cartilage from tensile testing. Calculated values for surface zone G were 3.64±1.80 MPa for subjects under 70 yr old and 0.96±0.69 MPa for subjects over 70 yr old, and were significantly higher in the surface zone than in the middle zone (1.10±0.78 MPa). This study provides an intrinsic measure for the Poisson’s ratio of articular cartilage and its dependence on depth which will be important in understanding the nonlinear tension-compression and anisotropic behaviors of articular cartilage.


2018 ◽  
Vol 89 (6) ◽  
pp. 903-913 ◽  
Author(s):  
Yuping Chang ◽  
Pibo Ma

This paper presents five different auxetic warp-knitted spacer fabrics and discusses their energy absorption under uniaxial tension through integrals of stress on strain. Structures of auxetic fabrics are designed based on rotating hexagonal models and knitted for experimental tests, including Poisson's ratio tests and tensile tests. Results show that energy absorption of auxetic warp-knitted spacer fabric is mainly determined by its structural deformation capacity and yarn loading capacity, between which the yarn loading capacity of fabrics plays the dominant part in energy absorption, while the structural deformation capacity, which is affected by Poisson's ratio, has relatively little influence. With equivalent yarn loading capacity, the energy absorption of fabrics with negative Poisson's ratios are relatively better.


Soft Matter ◽  
2019 ◽  
Vol 15 (14) ◽  
pp. 2921-2927 ◽  
Author(s):  
Nan Gao ◽  
Jian Li ◽  
Rong-hao Bao ◽  
Wei-qiu Chen

In this work, we investigate the effect of regulation of uniaxial tension on the band gaps in 2D soft phononic crystal with criss-crossed elliptical holes via experiments.


1938 ◽  
Vol 5 (1) ◽  
pp. A11-A12
Author(s):  
G. H. Lee ◽  
C. W. Armstrong

Abstract This paper reports the results of tension tests, to determine the suitability for photoelastic work, of five samples of Bakelite and two of Marblette at temperatures between 32 and 140 F. These results show the variation, of Young’s modulus, Poisson’s ratio, stress-optical coefficient, and strain-optical coefficient with temperature. Stress-strain curves of the materials are also given showing the relative amounts of creep. The effect of heat-treatment on Marblette is shown by tests before and after annealing.


2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Lu Dong ◽  
Hongfa Xu ◽  
Pengxian Fan ◽  
Zhichou Wu

Poisson’s ratio is of crucial importance for the theoretical and numerical analysis of rock engineering. It is an elastic parameter of the material and the ratio of the absolute value of lateral strain and axial strain when the material is under uniaxial tension or compression. However, it was rarely investigated compared with deformation modulus and strength. Rock materials are different from metal materials. The pure elastic deformation stage is usually very short or nonexistent in the process of uniaxial tension or compression. In this paper, in order to explore the behavior of Poisson’s ratio, uniaxial compression tests according to The International Society for Rock Mechanics and Rock Engineering are performed on standard specimens of granite, marble, red sandstone, carbonate rock, coral concrete, etc. According to the results, Poisson’s ratio, both the secant Poisson’s ratio and tangent Poisson’s ratio, increase with the externally applied stress. Therefore, regarding it as an elastic constant is worthy of a second thought. If the midpoint of the stress interval is fixed in the 50% of uniaxial compressive strength, the average Poisson’s ratio is almost impervious to the varying span of the stress interval. In addition, the average Poisson’s ratio is immune to the nonlinear deformation in the early loading stage. Thus, the average Poisson’s ratio is a better index than the secant Poisson’s ratio in describing the relationship between axial and lateral strains of hard rocks. The determination of Poisson’s ratio of soft rocks needs further investigation because Poisson’s ratio tends to exceed the theoretical limit in relatively low stress levels. The proposed viewpoint provides a deeper insight into the testing, determining, and using of Poisson’s ratio.


1976 ◽  
Vol 4 (4) ◽  
pp. 219-232 ◽  
Author(s):  
Ö. Pósfalvi

Abstract The effective elastic properties of the cord-rubber composite are deduced from the principle of virtual work. Such a composite must be compliant in the noncord directions and therefore undergo large deformations. The Rivlin-Mooney equation is used to derive the effective Poisson's ratio and Young's modulus of the composite and as a basis for their measurement in uniaxial tension.


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