scholarly journals A physically meaningful homogenization approach to determine equivalent elastic properties of layered soil

2018 ◽  
Vol 55 (3) ◽  
pp. 303-311
Author(s):  
Peijun Guo ◽  
Dieter F.E. Stolle
Keyword(s):  
Elastic Modulus ◽  
Shear Modulus ◽  
Elastic Properties ◽  
Layered Medium ◽  
Homogeneous Medium ◽  
The Other ◽  
Layered Soils ◽  
Special Cases ◽  
Homogenization Approach ◽  
Anisotropic Elastic

A simple, yet physically meaningful, homogenization approach to determine the “equivalent” elastic properties for a layered medium is proposed. The proposed approach makes use of the Reuss and Voigt approximations without employing auxiliary stresses and strains related to the different elastic properties of the material layers. When assuming that the constituent materials are isotropic, some special features of the equivalent homogeneous medium are discussed for special cases in which all layers have either the same Poisson’s ratio, elastic modulus or shear modulus. A methodology to determine the equivalent anisotropic elastic properties of multi-layered soils is proposed, in which all required quantities are physically meaningful and can be determined directly. The applicability of the proposed methodology is demonstrated through tests on two types of soils, one of which has a varved structure while the other is isotropic.

AniCryDe: calculation of elastic properties in silicon and germanium crystals

2015 ◽  
Vol 48 (3) ◽  
pp. 943-949 ◽  
Author(s):  
Riccardo Camattari ◽  
Luca Lanzoni ◽  
Valerio Bellucci ◽  
Vincenzo Guidi
Keyword(s):  
Shear Modulus ◽  
Elastic Properties ◽  
Displacement Field ◽  
Crystallographic Orientation ◽  
Mechanical Parameters ◽  
Germanium Crystal ◽  
Control Stage ◽  
Anisotropic Elastic ◽  
Silicon And Germanium ◽  
User Friendly

A code to calculate the anisotropic elastic properties in a silicon or germanium crystal is introduced. The program, namedAniCryDe, allows the user to select the crystallographic configuration of interest. For the selected crystallographic orientation,AniCryDecalculates several key mechanical parameters, such as Young's modulus, Poisson's ratio and the shear modulus. Furthermore, the program displays both the compliance and the stiffness tensors concerning the crystallographic orientation of interest. The code enables the user to set several parameters through a user-friendly control stage. As a result, the user obtains the complete displacement field of a deformed crystal and the curvature of any crystallographic plane. Manufacturing wafer defects such as miscut and misflat angle are also taken into account.

Crosslinking of Oriented Rubber

1958 ◽  
Vol 31 (1) ◽  
pp. 98-104 ◽  
Author(s):  
A. Charlesby ◽  
E. von Arnim
Keyword(s):  
Elastic Modulus ◽  
Stress Relaxation ◽  
Elastic Properties ◽  
Electron Irradiation ◽  
Main Chain ◽  
High Energy ◽  
Elongation At Break ◽  
High Energy Electrons ◽  
Anisotropic Elastic ◽  
G Value

Abstract Smoked sheet rubber, previously oriented in the calendering process, was crosslinked by exposure to 2 Mev high energy electrons in the absence of vulcanizing agents. Even after annealing, the resultant rubber showed anisotropic elastic properties, having a high elastic modulus and a low elongation at break in the direction of orientation. It is suggested that radiation in addition to crosslinking causes main chain fracture and stress relaxation in stressed molecular chains. The G value for crosslinking (1.05) by electron irradiation agrees well with that (1.1) previously found by elastic measurements of pile irradiated rubber.

Ag effects on the elastic modulus values of nanoporous Au foams

2009 ◽  
Vol 24 (4) ◽  
pp. 1600-1606 ◽  
Author(s):  
A.M. Hodge ◽  
R.T. Doucette ◽  
M.M. Biener ◽  
J. Biener ◽  
O. Cervantes ◽  
...  
Keyword(s):  
Elastic Modulus ◽  
Relative Density ◽  
Elastic Properties ◽  
Nitrate Solution ◽  
The Other ◽  
Nitrate Salt ◽  
Depth Sensing ◽  
Cross Sectional ◽  
Sectional Analysis ◽  
Ligament Size

To study both the effect of Ag and the relative density on the elastic properties of nanoporous Au (np-Au) foams, partially as well as fully dealloyed np-Au samples with various ligament sizes were prepared. Additionally, Ag-coated np-Au samples were synthesized by immersing np-Au in a 1 M Ag nitrate solution, followed by drying and thermal decomposition of the deposited Ag nitrate salt to Ag, NO2, and O2. Cross-sectional analysis revealed that this method yields a homogeneous Ag distribution and that the Ag concentration can be adjusted within the range of 0 to 20 at.%. Mechanical testing was performed by depth-sensing nanoindentation. It was observed that the effect of the relative density on the elastic properties of np-Au seems to be much stronger than predicted by the Gibson and Ashby relationship: Even Ag contents as low as 1 at.% can significantly change the modulus values. On the other hand, the elastic modulus of np-Au seems to be independent of the ligament size.

scholarly journals Elastic Properties Investigation on Random and Ordered ZrO2 Nanotube-Reinforced HA and β-TCP Biocomposites with Finite Element Approach

2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Zeliang Liu ◽  
Huijian Li ◽  
Zhixin Xu ◽  
Yuying Cao ◽  
Xiao Yang
Keyword(s):  
Finite Element ◽  
Elastic Modulus ◽  
Shear Modulus ◽  
Elastic Properties ◽  
Bone Repair ◽  
Reinforced Composites ◽  
Finite Element Approach ◽  
Aspect Ratios ◽  
Reinforced Composite ◽  
Element Approach

The elastic properties of random and ordered ZrO2 nanotube- (ZrNT-) reinforced HA and β-TCP biocomposites were carried out by a numerical investigation with finite element approach. The elastic modulus, shear modulus, and Poisson’s ratio affected by various ZrNT volume fractions (5.0 vol.%, 5.5 vol.%, 6.5 vol.%, 7.5 vol.%, 8.5 vol.%, and 10.0 vol.%) and aspect ratios (3, 5, 10 and 20) for both random and ordered reinforced composites were obtained and analysed. The advantages of random and ordered reinforced composites were further discussed. The random reinforced composite is suggested to be a proper candidate for ZrO2 nanotube-reinforced biocomposite on the application of bone repair and the substitute.

scholarly journals Shear modulus and yield stress of foams: contribution of interfacial elasticity

Soft Matter ◽  
2021 ◽  
Vol 17 (14) ◽  
pp. 3937-3944
Author(s):  
Annika R. Völp ◽  
Norbert Willenbacher
Keyword(s):  
Elastic Modulus ◽  
Block Copolymer ◽  
Shear Modulus ◽  
Yield Stress ◽  
Protein Food ◽  
General Correlation

A general correlation of foam shear modulus G0 and yield stress τy with the interfacial elastic modulus of foaming solutions in shear and dilation E∞ was found for surfactant, block-copolymer, protein, food, and particle-stabilized foams.

scholarly journals Leader-chasing behavior in negative artificial triggered lightning flashes

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Fukun Wang ◽  
Jianguo Wang ◽  
Li Cai ◽  
Rui Su ◽  
Wenhan Ding ◽  
...  
Keyword(s):  
High Speed ◽  
The Other ◽  
Lightning Flash ◽  
High Speed Camera ◽  
Return Stroke ◽  
Catching Up ◽  
Special Cases ◽  
Triggered Lightning

AbstractTwo special cases of dart leader propagation were observed by the high-speed camera in the leader/return stroke sequences of a classical triggered lightning flash and an altitude-triggered lightning flash, respectively. Different from most of the subsequent return strokes preceded by only one leader, the return stroke in each case was preceded by two leaders occurring successively and competing in the same channel, which herein is named leader-chasing behavior. In one case, the polarity of the latter leader was opposite to that of the former leader and these two combined together to form a new leader, which shared the same polarity with the former leader. In the other case, the latter leader shared the same polarity with the former leader and disappeared after catching up with the former leader. The propagation of the former leader in this case seems not to be significantly influenced by the existence of the latter leader.

The Circular Cylinder With a Band of Uniform Pressure on a Finite Length of the Surface

1941 ◽  
Vol 8 (3) ◽  
pp. A97-A104 ◽  
Author(s):  
M. V. Barton
Keyword(s):  
Circular Cylinder ◽  
Finite Length ◽  
Infinite Series ◽  
Fundamental Problem ◽  
The Other ◽  
Complete Picture ◽  
Uniform Pressure ◽  
Uniform Tension ◽  
Special Cases ◽  
Stress And Deformation

Abstract The solution to the fundamental problem of a cylinder with a uniform pressure over one half its length and a uniform tension on the other half is found by using the Papcovitch-Neuber solution to the general equations. In this paper, the results, given analytically in terms of infinite-series expressions, are exhibited as curves giving a complete picture of the stress and deformation. The case of a cylinder with a band of uniform pressure of any length, with the exception of very small ones, is then solved by the method of superposition. The stresses and displacements are evaluated for the special cases of a cylinder with a uniform pressure load of 1 diam and 1/2 diam in length. The problem of a cylinder heated over one half its length is solved by the same means.

scholarly journals Prediction of anisotropic elastic properties of snow from its microstructure

2016 ◽  
Vol 125 ◽  
pp. 85-100 ◽  
Author(s):  
Praveen K. Srivastava ◽  
Chaman Chandel ◽  
Puneet Mahajan ◽  
Pankaj Pankaj
Keyword(s):  
Elastic Properties ◽  
Anisotropic Elastic
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