Comparison of small-strain shear modulus and Young’s modulus of dry sand measured by resonant column and bender–extender element

2020 ◽  
Vol 57 (11) ◽  
pp. 1745-1753
Author(s):  
Kai Xu ◽  
Xiaoqiang Gu ◽  
Chao Hu ◽  
Lutong Lu
Keyword(s):  
Shear Modulus ◽  
Resonant Frequency ◽  
Young’S Modulus ◽  
Young's Modulus ◽  
Small Strain ◽  
Calibration Method ◽  
Resonant Column ◽  
Small Strain Shear Modulus ◽  
Torsional Excitation ◽  
Dry Sand

The small-strain shear modulus and Young’s modulus of dry sand are simultaneously measured by resonant column and bender–extender element tests. Two different methods are adopted to calibrate the resonant column and the results indicate that the conventional calibration method may significantly underestimate the Young’s modulus obtained in flexural excitation, while it only slightly underestimates the shear modulus obtained in torsional excitation. A new calibration method that establishes a calibration curve based on the resonant frequency is used to overcome the error. With this new calibration method, the shear modulus and Young’s modulus from the resonant column agree well with those from the bender–extender element. It convincingly explains the reason why a very small Poisson’s ratio was observed in previous resonant column tests and suggests that the effect of resonant frequency on the calibration results must be considered in flexural excitation.

Measurement of small-strain shear modulus Gmax of dry and saturated sands by bender element, resonant column, and torsional shear tests

2008 ◽  
Vol 45 (10) ◽  
pp. 1426-1438 ◽  
Author(s):  
Jun-Ung Youn ◽  
Yun-Wook Choo ◽  
Dong-Soo Kim
Keyword(s):  
Shear Modulus ◽  
Shear Wave ◽  
Shear Wave Velocity ◽  
Small Strain ◽  
Resonant Column ◽  
Test Results ◽  
Bender Element ◽  
Small Strain Shear Modulus ◽  
Torsional Shear ◽  
Saturated Sands

The bender element method is an experimental technique used to determine the small-strain shear modulus (Gmax) of a soil by measuring the velocity of shear wave propagation through a sample. Bender elements have been applied as versatile transducers to measure the Gmax of wet and dry soils in various laboratory apparatuses. However, certain aspects of the bender element method have yet to be clearly specified because of uncertainties in determining travel time. In this paper, the bender element (BE), resonant column (RC), and torsional shear (TS) tests were performed on the same specimens using the modified Stokoe-type RC and TS testing equipment. Two clean sands, Toyoura and silica sands, were tested at various densities and mean effective stresses under dry and saturated conditions. Based on the test results, methods of determining travel time in BE tests were evaluated by comparing the results of RC, TS, and BE tests. Also, methods to evaluate Gmax of saturated sands from the shear-wave velocity (Vs) obtained by RC and BE tests were investigated by comparing the three sets of test results. Biot’s theory on frequency dependence of shear-wave velocity was adopted to consider dispersion of a shear wave in saturated conditions. The results of this study suggest that the total mass density, which is commonly used to convert Gmax from the measured Vs in saturated soils, should not be used to convert Vs to Gmax when the frequency of excitation is 10% greater than the characteristic frequency (fc) of the soil.

Small strain shear modulus and damping ratio of two unsaturated lateritic sandy clays

2020 ◽  
Author(s):  
C.W.W. Ng ◽  
Obed Takyi Bentil ◽  
Chao Zhou
Keyword(s):  
Shear Modulus ◽  
Damping Ratio ◽  
Small Strain ◽  
Resonant Column ◽  
Column Tests ◽  
Small Strain Shear Modulus ◽  
Confining Pressures ◽  
The Difference ◽  
Elastic Threshold ◽  
Scanning Electron

In this study, resonant column tests carried out to investigate the influence of suction on the shear modulus and damping ratio of two compacted lateritic sandy clays from Ghana (GL) and Nigeria (NL) are reported. Each type of soils was tested under two confining pressures and at three suctions. The microstructure of the soils was also studied through a scanning electron microscope. It is found that the effects of suction on maximum shear modulus (G<u><sub></u>0<u></sub></u>) are about 10% larger for GL than NL, mainly due to the existence of smaller aggregates in GL. Moreover, an increase in suction from 0 to 300 kPa for both soils resulted in a lower elastic threshold shear strain, different from the behaviour of other soils reported in the literature. The uniqueness of lateritic soils is likely attributed to their high sesquioxide content and much larger aggregates, which shrink upon an increase in suction. Drying of specimens from 0 to 300 kPa resulted in an increase of about 22% and 100% in initial damping ratio (D<sub>0</sub>) for GL and NL, respectively. The difference in D<sub>0</sub> for GL and NL and is attributed to larger aggregation of NL because of its higher iron sesquioxide content, leading to more cladding

Laboratory and field determinations of small-strain shear modulus for a structured Champlain clay

1994 ◽  
Vol 31 (1) ◽  
pp. 61-70 ◽  
Author(s):  
Guy Lefebvre ◽  
Denis Leboeuf ◽  
Muhsin E. Rahhal ◽  
Alain Lacroix ◽  
Joseph Warde ◽  
...  
Keyword(s):  
Shear Modulus ◽  
Surface Waves ◽  
Small Strain ◽  
Test Surface ◽  
Resonant Column ◽  
Shear Moduli ◽  
Small Strain Shear Modulus ◽  
Laboratory Values ◽  
Clay Deposits

Values of small-strain shear modulus Gmax, for a Champlain Sea clay deposit were obtained both under an embankment built 18 years ago, and outside of the area influenced by this embankment. The small-strain shear moduli Gmax were measured in the laboratory by using resonant column tests and in the field by spectral analysis of surface waves. In addition to verifying the two methods, comparison of the in situ and laboratory values allowed evaluation of the influence of the sampling and the need to correct the laboratory values to account for the age of the deposit. The test program also made it possible to verify the influence of the deposit's consolidation and the existing models predicting small-strain shear moduli in clay deposits. Key words : shear modulus, shear-wave velocity, resonant column, in situ test, surface waves, soft clay.

SIMULATION OF NONLINEAR MAGNETORHEOLOGICAL PARTICLE-FILLED ELASTOMERS

2013 ◽  
Vol 02 (03n04) ◽  
pp. 1350018
Author(s):  
SHULEI SUN ◽  
XIONGQI PENG ◽  
ZAOYANG GUO
Keyword(s):  
Magnetic Field ◽  
Shear Modulus ◽  
Young’S Modulus ◽  
Applied Magnetic Field ◽  
Smart Materials ◽  
Young's Modulus ◽  
Particle Volume ◽  
Magnetorheological Elastomers ◽  
Maxwell Stress Tensor ◽  
Element Simulation

Polymer matrix filled with ferromagnetic particles is a class of smart materials whose mechanical properties can be changed under different magnetic field. They are usually referred to as magnetorheological elastomers (MREs). A finite element simulation was presented to describe the mechanical behavior of MREs with the nonlinearity of the particle magnetization being incorporated. By introducing the Maxwell stress tensor, a representative volume element (RVE) was proposed to calculate the Young's modulus and shear modulus of MREs due to the applied magnetic field. The influences of the applied magnetic field and the particle volume fractions in the shear modulus and Young's modulus were studied. Results show that the shear modulus increases with the magnitude of the applied magnetic field, while the Young's modulus decreases.

Bender Element Measurement for Small-Strain Shear Modulus of Compacted Loess

2021 ◽  
Vol 21 (5) ◽  
pp. 04021063
Author(s):  
Fangtong Wang ◽  
Dianqing Li ◽  
Wenqi Du ◽  
Chia Zarei ◽  
Yong Liu
Keyword(s):  
Shear Modulus ◽  
Small Strain ◽  
Bender Element ◽  
Small Strain Shear Modulus ◽  
Compacted Loess

The Material Properties of Bone-Particle Impregnated PMMA

1986 ◽  
Vol 108 (2) ◽  
pp. 141-148 ◽  
Author(s):  
H. C. Park ◽  
Y. K. Liu ◽  
R. S. Lakes
Keyword(s):  
Shear Modulus ◽  
Young’S Modulus ◽  
Material Properties ◽  
Room Temperature ◽  
Particle Concentration ◽  
Young's Modulus ◽  
Higher Order ◽  
Particle Content ◽  
Bone Particle ◽  
Perfect Bonding

The elastic Young’s modulus and shear modulus of bone-particle impregnated polymethylmethacrylate (PMMA) has been measured experimentally at room temperature as a function of bone particle concentration. It was found that the moduli increased with increasing bone particle content. This increase was less than the stiffness increase predicted by higher-order composite theory [1, 2] under the assumption of perfect bonding between particles and matrix. It was concluded that a bond existed but that it was not a perfect bond.

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