The real behaviour of cohesionless granular materials undergoing deformation. An experimental technique for measurement of stress-strain distribution in granular solids under Prandtl's boundary conditions

1976 ◽  
Vol 41 (6) ◽  
pp. 1750-1758
Author(s):  
V. Šmíd ◽  
J. Novosad
Keyword(s):  
Boundary Conditions ◽  
Granular Materials ◽  
Experimental Technique ◽  
Strain Distribution ◽  
Stress Strain ◽  
The Real ◽  
Granular Solids

scholarly journals DEM Simulation of Biaxial Compression Experiments of Inherently Anisotropic Granular Materials and the Boundary Effects

2013 ◽  
Vol 2013 ◽  
pp. 1-13 ◽  
Author(s):  
Zhao-Xia Tong ◽  
Lian-Wei Zhang ◽  
Min Zhou
Keyword(s):  
Boundary Conditions ◽  
Granular Materials ◽  
Friction Angle ◽  
Boundary Effects ◽  
Biaxial Compression ◽  
Deformation Pattern ◽  
Compression Tests ◽  
Stress Strain ◽  
Particle Assembly ◽  
Strain Relationship

The reliability of discrete element method (DEM) numerical simulations is significantly dependent on the particle-scale parameters and boundary conditions. To verify the DEM models, two series of biaxial compression tests on ellipse-shaped steel rods are used. The comparisons on the stress-strain relationship, strength, and deformation pattern of experiments and simulations indicate that the DEM models are able to capture the key macro- and micromechanical behavior of inherently anisotropic granular materials with high fidelity. By using the validated DEM models, the boundary effects on the macrodeformation, strain localization, and nonuniformity of stress distribution inside the specimens are investigated using two rigid boundaries and one flexible boundary. The results demonstrate that the boundary condition plays a significant role on the stress-strain relationship and strength of granular materials with inherent fabric anisotropy if the stresses are calculated by the force applied on the wall. However, the responses of the particle assembly measured inside the specimens are almost the same with little influence from the boundary conditions. The peak friction angle obtained from the compression tests with flexible boundary represents the real friction angle of particle assembly. Due to the weak lateral constraints, the degree of stress nonuniformity under flexible boundary is higher than that under rigid boundary.

Structural Analysis of Rear Axle Casing of Tractor

2014 ◽  
Vol 592-594 ◽  
pp. 1170-1174
Author(s):  
B. Sreenivasa Theja ◽  
Siddharth Kumar Singh
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Boundary Conditions ◽  
Life Span ◽  
Rear Axle ◽  
Stress Strain ◽  
Element Analysis ◽  
The Real ◽  
Various Boundary Conditions ◽  
The Finite Element Analysis

The design of structural modeling is usually based on the different geometric function. Since every component has a definite life span, it is necessary to calculate its core parameters. To find the life span of component, the component must be as input parameter to the Finite Element Analysis. The Finite Element Analysis is nothing but a numerical method for solving Engineering and Mathematical problems. The Analysis of the “Rear Axle Casing of Tractor” using cast iron material with special grade “SG 500” for already existing model, taken in the real time is done by using “ANSYS”. The stress, strain, deformation analysis of the component is done by giving various boundary conditions. These analyzed results help to redesign the rear casing of tractor. The redesigning of rear axel casing of tractor is done using “PRO/E”. During redesigning the component, various criteria’s taken in the real field must be taken into an account. The analysis of the redesigned model is done by giving various boundary conditions for both materials ‘SG 500” and “SG 200”. Then the stress, strain, deformation, structural supports, structural results are evaluated and also cores, dies and patterns are generated and hence the redesigned rear axel casing of tractor is found to be in safer mode. And also the better material for the rear axle casing is given, by comparing the above mentioned materials.

Development of a Methodology for Model Testing of Utor Welded Joints of a Vertical Cylindrical Tank

2021 ◽  
pp. 21-27
Author(s):  
D.A. Neganov ◽  
◽  
A.E. Zorin ◽  
O.I. Kolesnikov ◽  
G.V. Nesterov ◽  
...  
Keyword(s):  
Welded Joints ◽  
Strain State ◽  
Welded Joint ◽  
Design Parameters ◽  
Cylindrical Tank ◽  
Stress Strain ◽  
The Real ◽  
Stress Strain State ◽  
Hydraulic Machines ◽  
Wide Range

The methodology of laboratory modeling of the loading of utor welded joint of the tank is presented. The methodology is based on testing of the special design sample. It allows under uniaxial tension on the typical servo-hydraulic machines to reproduce in the zone of a utor welded joint the combined action of bending and shear forces, similar to that which occurs during the operation of a vertical cylindrical tank. To assess the distribution of the stress-strain state in the proposed design of the sample under its loading, the finite element modeling was performed in the ANSYS software package. It showed the fundamental correspondence of the stress distribution in the zone of the utor node in the sample and in the real tank. The experimental studies consisted in carrying out tests for the durability of a series of 16 samples loaded with the maximum force in the cycle, causing the calculated stresses in the zone of the welded utor node in the range of 100–200 % from the maximum permissible ones. The obtained results showed that the maximum loaded zone, where the destruction of the samples occurred, is the near-seam zone of the utor welded joint on the inside of the tank. This corresponds to the statistics of the real tank failures. It is established that the developed methodology ensures the possibility of carrying out correct resource tests of the tank utor welded joints. It is also possible to vary the stress-strain state scheme within a wide range in the area of the utor welded joint by changing the design parameters of the test sample. In compliance with the regulated welding technologies and the absence of unacceptable defects in the welded joint, the utor node has a high resource, which significantly exceeding 50 years of the tank operation.

Routes towards Novel Active Pressure Sensors in SOI Technology

2011 ◽  
Vol 276 ◽  
pp. 145-155
Author(s):  
Benoit Olbrechts ◽  
Bertrand Rue ◽  
Thomas Pardoen ◽  
Denis Flandre ◽  
Jean Pierre Raskin
Keyword(s):  
Finite Elements ◽  
Strain Distribution ◽  
Pressure Sensors ◽  
High Sensitivity ◽  
Stress Strain ◽  
Pressure Transducers ◽  
Active Devices ◽  
Active Pressure ◽  
Soi Technology

In this paper, novel pressure sensors approach is proposed and described. Active devices and oscillating circuits are directly integrated on very thin dielectric membranes as pressure transducers. Involved patterning of the membrane is supposed to cause a drop of mechanical robustness. Finite elements simulations are performed in order to better understand stress/strain distribution and as an attempt to explain the early burst of patterned membranes. Smart circuit designs are reported as solutions with high sensitivity and reduced footprint on membranes.

scholarly journals Generalised sturm-liouville expansions in series of pairs of related functions

1927 ◽  
Vol 115 (770) ◽  
pp. 184-198 ◽  
Keyword(s):  
Boundary Conditions ◽  
Differentiable Function ◽  
Real Variable ◽  
Complex Parameter ◽  
The Real ◽  
The Earth ◽  
In Series ◽  
Sturm Liouville

The expansions here developed are required for the author’s discussion of "Meteorological Perturbations of Tides and Currents in an Unlimited Channel rotating with the Earth” ( v. supra , p. 170). Let η ( x ) be a real differentiable function of x defined in the range 0 ≼ x ≼ 1, and satisfying the condition η ( x ) > c > 0 for all such x . Let ϕ λ ( x ) and ψ λ ( x ) be functions of the real variable x and the complex parameter λ , defined in the above range by the equations d / dx [ η ( x ) dϕ λ ( x )/ dx ] + ( λ + iγ ) ϕ λ ( x ) = -1, d / dx [ η ( x ) dψ λ ( x )/ dx ] + ( λ + iγ ) ψ λ ( x ) = -1 (1) together with the boundary conditions ϕ' λ (0) = 0, ψ' λ (0) = 0, ϕ' λ (1) = 0, ψ λ (1) = 0, (2) γ being a prescribed constant.

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