Inversion of three-stage stress–strain relation for stainless steel in tension and compression

2011 ◽  
Vol 67 (5) ◽  
pp. 826-832 ◽  
Author(s):  
Kenzu Abdella ◽  
Ruqaiya Ammar Thannon ◽  
Aisha Ibrahim Mehri ◽  
Fatima Ahmed Alshaikh
Keyword(s):  
Stainless Steel ◽  
Stress Strain ◽  
Strain Relation ◽  
Stress Strain Relation ◽  
Tension And Compression

A Three-Stage Explicit Stress-Strain Relations for Stainless Steel Alloys Applicable in Tension and Compression at Elevated Temperatures

2012 ◽  
Vol 730-732 ◽  
pp. 691-696
Author(s):  
Abdella Kenzu
Keyword(s):  
Stainless Steel ◽  
Elevated Temperatures ◽  
Full Range ◽  
Elastic Behaviour ◽  
Stress Strain ◽  
Strain Relation ◽  
Stress Strain Relation ◽  
Wide Range ◽  
Tension And Compression ◽  
Linear Elastic Behaviour

Presented in this paper is an explicit full-range stress-strain relation for stainlesssteel alloys applicable at normal and elevated temperatures. The relation utilizes an approxima-tion of the closed form inversion of a highly accurate three-stage stress-strain relation recentlyobtained from the Ramberg-Osgood equation. The three stage inversion is formulated using anappropriate rational function assumption to approximate the fractional deviation of the actualstress-strain relation from an idealized linear elastic behaviour. The temperature dependenceon the stress-strain relation is then introduced by modifying the basic mechanical propertiesof stainless steel to account for the temperature e ects. The proposed approximate inversionis applicable over the full-range of the stress well beyond the elastic region up to the ultimatestress. Moreover, the inversion can be applied to both tensile and compressive stresses. Theproposed approximate inversion is tested over a wide range of material parameters as well as awide range of temperatures. It is shown that the new expression results in stress-strain curveswhich are both qualitatively and quantitatively in excellent agreement with experimental re-sults and the fully iterated numerical solution of the full-range stress-strain relation for normalas well as elevated temperatures

The Stress-Strain Analysis for the Nonlinear and Strength Difference Structure of Bars Jointed to Rigid-Body of Fixed-Point Motion

2010 ◽  
Vol 156-157 ◽  
pp. 383-386
Author(s):  
Xie Quan Liu ◽  
Xin Hua Ni ◽  
Shu Qin Zhang ◽  
Lei Zhao ◽  
Guo Hui Zhong
Keyword(s):  
Fixed Point ◽  
Rigid Body ◽  
Angular Displacement ◽  
Strain Analysis ◽  
Stress Strain ◽  
Strain Relation ◽  
Stress Strain Relation ◽  
Point Motion ◽  
Tension And Compression ◽  
Strength Difference

Many material have different stress-strain relation in tension and compression, generally the relation is nonlinear. In this paper, we use two exponential functions to approximately represent the stress-strain relation of nonlinearly elastic material and analyze strength-difference structure of bars jointed to Rigid-body of fixed-point motion. The displacement method is used to derive the universal expression of calculating stress and strain. The nonlinear equations for computing angular displacement of the rigid-body has been given and general computing program has been worked out. They can be accurately and conveniently calculated. This problem has been solved satisfactorily.

Stress-strain relation for 316 stainless steel at 300K

1982 ◽  
Vol 16 (3) ◽  
pp. 255-257 ◽  
Author(s):  
S.L. Mannan ◽  
K.G. Samuel ◽  
P. Rodriguez
Keyword(s):  
Stainless Steel ◽  
Stress Strain ◽  
316 Stainless Steel ◽  
Strain Relation ◽  
Stress Strain Relation

scholarly journals Limit analysis of narrow support elements in W7-X considering the serration effect of the stress–strain relation at 4K

2011 ◽  
Vol 86 (6-8) ◽  
pp. 1462-1465 ◽  
Author(s):  
E. Briani ◽  
C. Gianini ◽  
F. Lucca ◽  
A. Marin ◽  
J. Fellinger ◽  
...  
Keyword(s):  
Limit Analysis ◽  
Stress Strain ◽  
Strain Relation ◽  
Stress Strain Relation

Analytical stress-strain relation for soils

2021 ◽  
Author(s):  
Kristian Krabbenhoft ◽  
J. Wang
Keyword(s):  
Test Data ◽  
Narrow Range ◽  
Strain Range ◽  
Data Sets ◽  
Soil Tests ◽  
Stress Strain ◽  
Strain Relation ◽  
Stress Strain Relation ◽  
Typical Test ◽  
Typical Soil

A new stress-strain relation capable of reproducing the entire stress-strain range of typical soil tests is presented. The new relation involves a total of five parameters, four of which can be inferred directly from typical test data. The fifth parameter is a fitting parameter with a relatively narrow range. The capabilities of the new relation is demonstrated by the application to various clay and sand data sets.

Stress-Strain Relations and Vibrations of a Granular Medium

1957 ◽  
Vol 24 (4) ◽  
pp. 585-593
Author(s):  
J. Duffy ◽  
R. D. Mindlin
Keyword(s):  
Energy Dissipation ◽  
Contact Forces ◽  
Face Centered Cubic ◽  
Stress Strain ◽  
Differential Stress ◽  
Elastic Bodies ◽  
Strain Relation ◽  
Stress Strain Relation ◽  
Face Centered ◽  
Experimental Values

Abstract A differential stress-strain relation is derived for a medium composed of a face-centered cubic array of elastic spheres in contact. The stress-strain relation is based on the theory of elastic bodies in contact, and includes the effects of both normal and tangential components of contact forces. A description is given of an experiment performed as a test of the contact theories and the differential stress-strain relation derived from them. The experiment consists of a determination of wave velocities and the accompanying rates of energy dissipation in granular bars composed of face-centered cubic arrays of spheres. Experimental results indicate a close agreement between the theoretical and experimental values of wave velocity. However, as in previous experiments with single contacts, the rate of energy dissipation is found to be proportional to the square of the maximum tangential contact force rather than to the cube, as predicted by the theory for small amplitudes.

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