Unified plastic yield criterion for ductile solids.

AIAA Journal ◽  
1973 ◽  
Vol 11 (10) ◽  
pp. 1428-1429 ◽  
Author(s):  
MANOJ MAITRA ◽  
KAMALESH MAJUMDAR ◽  
ANIRUDDHA DAS
Keyword(s):  
Yield Criterion ◽  
Plastic Yield

scholarly journals MAPPROXIMATING STRESSES IN THE VICINITY OF A CAVITY EXPANDING AT A CONSTANT VELOCITY IN A MEDIUM WITH THE MOHR - COULOMB PLASTICITY CONDITION

2019 ◽  
Vol 81 (2) ◽  
pp. 177-190 ◽  
Author(s):  
V. L. Kotov
Keyword(s):  
Constant Velocity ◽  
Yield Criterion ◽  
Plastic Region ◽  
Plasticity Condition ◽  
Practical Applications ◽  
Plastic Yield ◽  
Runge Kutta Method ◽  
Wide Range ◽  
Self Similar Solution ◽  
Internal Friction Coefficient

A one-dimensional problem of a spherical cavity expanding at a constant velocity from a point in an infinite elastoplastic medium is considered. The problem has a first-kind self-similar solution. Elastoplastic deformation of the soil is described based on Hooke's law and the Mohr-Coulomb yield criterion. An analytical solution of the problem in the elastic region contacting with the plastic yield region has been obtained. To determine stress and velocity fields in the plastic region, a known algorithm, based on the shooting method, of analyzing a boundary-value problem for a system of two first-order ordinary differential equations, including the fourth-order Runge - Kutta method, has been realized. An effective algorithm of numerically analyzing an expanding cavity problem, earlier proposed in the works by М. Forrestal et al., makes it possible to solve the problem accurately enough for practical applications. A formula for determining the critical pressure - the minimal pressure required for the nucleation, accounting for internal pressure of a cavity in the framework of the Mohr - Coulomb yield criterion, has been derived, which is a generalization of the earlier published solution for an elastic ideally plastic medium with Tresca's criterion. The obtained critical value was compared with a numerical solution in a full formulation at the cavity expansion velocities close to zero in a wide range of variation of the parameters of the Mohr - Coulomb yield criterion. It is shown that the inaccuracy of the approximation of the proposed formula does not exceed 6% for the variation of the internal friction coefficient all over the admissible range, and for the initial value of the yield strength increasing by three orders of magnitude.

Large-Deflection Bending of Clamped Metal Foam-Filled Rectangular Tubes

2017 ◽  
Vol 09 (03) ◽  
pp. 1750043 ◽  
Author(s):  
Jianxun Zhang ◽  
Qinghua Qin ◽  
Yan Yang ◽  
Xuehui Yu ◽  
Shangjun Chen ◽  
...  
Keyword(s):  
Analytical Model ◽  
Large Deflection ◽  
Metal Foam ◽  
Yield Criterion ◽  
Structural Response ◽  
Flat Punch ◽  
Plastic Yield ◽  
Rectangular Tube ◽  
Foam Filled ◽  
Rectangular Tubes

Large-deflection bending of fully clamped slender metal foam-filled rectangular tubes is investigated theoretically, experimentally and numerically. A plastic yield criterion for the foam-filled rectangular tube is proposed. Considering the filled foam strength effect and the interaction of bending and stretching, an analytical solution is proposed to predict the structural response of the foam-filled rectangular tubes transversely loaded by a flat punch. Clamped bending tests of aluminium alloy foam-filled rectangular tubes are conducted. The analytical model captures experimental results reasonably. Numerical calculations are carried out to predict the large-deflection behavior of the foam-filled tubes, and good agreement is achieved between the analytical solutions and numerical results. The effects of wall thickness of tube, punch size and filled foam strength are discussed in detail. It is demonstrated that the present analytical model can reasonably predict the post-yield behavior of the foam-filled rectangular tube.

Atomic-Scale Study of Plastic-Yield Criterion in Nanocrystalline Cu at High Strain Rates

2009 ◽  
Vol 41 (2) ◽  
pp. 523-531 ◽  
Author(s):  
A.M. Dongare ◽  
A.M. Rajendran ◽  
B. Lamattina ◽  
D.W. Brenner ◽  
M.A. Zikry
Keyword(s):  
High Strain ◽  
Yield Criterion ◽  
Atomic Scale ◽  
Strain Rates ◽  
High Strain Rates ◽  
Plastic Yield

A Yield Criterion Based on Mean Shear Stress

2014 ◽  
Vol 611-612 ◽  
pp. 3-10
Author(s):  
Wilko C. Emmens ◽  
A.H. van den Boogaard
Keyword(s):  
Shear Stress ◽  
Plane Strain ◽  
Yield Criterion ◽  
Maximum Shear Stress ◽  
Crystallographic Direction ◽  
Yield Criteria ◽  
General Finding ◽  
Plastic Yield ◽  
Yield Loci ◽  
Actual Orientation

This work investigates the relation between shear stress and plastic yield considering that a crystal can only deform in a limited set of directions. The shear stress in arbitrary directions is mapped for some cases showing relevant differences. Yield loci based on mean shear stress are constructed. The Tresca yield criterion can be improved by averaging the shear stress over directions near the direction of maximum shear stress. Yield criteria based on averaging over crystallographic direction show a clear influence of the actual orientation of these direction, notably in case of few crystallographic directions. The general finding is that the higher the isotropy of a material, the lower the plane strain factor. The shape of the yield loci is comparable to those derived by the Hershey criterion with exponents lower than 3.

The Analysis of the Parameters of Rock Cutting by Disc Cutter Based on ANSYS

2013 ◽  
Vol 791-793 ◽  
pp. 778-781
Author(s):  
An Ning Zhang ◽  
Feng Zhu ◽  
Zhao Feng Zhu
Keyword(s):  
Yield Criterion ◽  
Element Model ◽  
Rock Cutting ◽  
Rock Breaking ◽  
Disc Cutter ◽  
Vertical Force ◽  
Rock Damage ◽  
Plastic Yield ◽  
Rock Mechanical Properties ◽  
Tbm Cutter

When TBM tunneling, the disc cutter directly in contact with the rock. The disc cutter is an important component of the TBM, so the numerical simulation study of disc cutter breaking rock process is established. The study contents disc cutter exerted vertical force on the rock. This is instructive for improving the disc cutter layout and improving the rock breaking capacity and tunneling efficiency. According to the rock Drucker-Prager plastic yield criterion lines and rock mechanical properties, finite element model of rock breaking by disc cutter was established by ANSYSWORKBENCH software and process of rock cutting with disc cutter was simulated. The rock elastic-plastic deformation occurred in the disc cutter effect, caused accumulation of rock damage, when the rock breaks completely damaged, get the vertical force exerted on the disc cutter, which is significance for the disc cutter layout and the calculation of force of TBM cutter breaking rock.

Atomistic basis for the plastic yield criterion of metallic glass

2003 ◽  
Vol 2 (7) ◽  
pp. 449-452 ◽  
Author(s):  
Christopher A. Schuh ◽  
Alan C. Lund
Keyword(s):  
Metallic Glass ◽  
Yield Criterion ◽  
Plastic Yield

Unconfined flow of granular avalanches along a partly curved surface. I. Theory

1994 ◽  
Vol 445 (1924) ◽  
pp. 399-413 ◽  
Keyword(s):  
Free Surface ◽  
Yield Criterion ◽  
Three Dimensional ◽  
Free Surface Flows ◽  
Extended Model ◽  
Spherical Cap ◽  
Plastic Yield ◽  
Dimensional Gravity ◽  
Stress Boundary Conditions ◽  
Coulomb Dry Friction

This paper deals with three-dimensional gravity driven free surface flows of piles of granular materials along bottom profiles that are weakly curved downward and plane laterally. We present in detail a three-dimensional extension of the two-dimensional Savage-Hutter model for such granular avalanches. In this extended model, the avalanche is described as a three-dimensional incompressible continuum obeying a Coulomb dry friction law at the base and a Mohr-Coulomb plastic yield criterion in the interior. Based on this, the balance laws of mass and linear momentum and kinematic and stress boundary conditions at the free surface and the base are used to derive depth-averaged dynamic equations that describe the temporal evolution of the height and the depth-averaged horizontal velocity components as functions of position and time. A computation is performed for a pile of granular material with an initial spherical cap geometry moving down an inclined plane.

Soil/Tire Interaction Analysis Using FEM and FVM

2005 ◽  
Vol 33 (1) ◽  
pp. 38-62 ◽  
Author(s):  
S. Oida ◽  
E. Seta ◽  
H. Heguri ◽  
K. Kato
Keyword(s):  
Large Scale ◽  
Interaction Analysis ◽  
Yield Criterion ◽  
Surrounding Medium ◽  
Flow Analysis ◽  
Measurement Data ◽  
Traction Force ◽  
Elastoplastic Material ◽  
The Road ◽  
Soil Flow

Abstract Vehicles, such as an agricultural tractor, construction vehicle, mobile machinery, and 4-wheel drive vehicle, are often operated on unpaved ground. In many cases, the ground is deformable; therefore, the deformation should be taken into consideration in order to assess the off-the-road performance of a tire. Recent progress in computational mechanics enabled us to simulate the large scale coupling problem, in which the deformation of tire structure and of surrounding medium can be interactively considered. Using this technology, hydroplaning phenomena and tire traction on snow have been predicted. In this paper, the simulation methodology of tire/soil coupling problems is developed for pneumatic tires of arbitrary tread patterns. The Finite Element Method (FEM) and the Finite Volume Method (FVM) are used for structural and for soil-flow analysis, respectively. The soil is modeled as an elastoplastic material with a specified yield criterion and a nonlinear elasticity. The material constants are referred to measurement data, so that the cone penetration resistance and the shear resistance are represented. Finally, the traction force of the tire in a cultivated field is predicted, and a good correlation with experiments is obtained.

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