Yield Criteria for Incompressible Materials in the Shear Stress Space

2013 ◽  
pp. 107-119 ◽  
Author(s):  
Vladimir A. Kolupaev ◽  
Alexandre Bolchoun ◽  
Holm Altenbach
Keyword(s):  
Shear Stress ◽  
Stress Space ◽  
Yield Criteria ◽  
Incompressible Materials

scholarly journals Experimental Study and Failure Mechanism Analysis of Rubber Fiber Concrete under the Compression-Shear Combined Action

2021 ◽  
Vol 2021 ◽  
pp. 1-16
Author(s):  
Juntao Zhang ◽  
Zhenpeng Yu ◽  
Xinjian Sun ◽  
Guangli Zhang ◽  
Wenguo Pan
Keyword(s):  
Experimental Study ◽  
Shear Stress ◽  
Axial Compression ◽  
Compression Ratio ◽  
Shear Direction ◽  
Stress Space ◽  
Axial Compression Ratio ◽  
Fiber Concrete ◽  
Rubber Particles ◽  
C 30

In order to examine the compression-shear combined mechanical properties of rubber fiber concrete, an experimental study was carried out on rubber fiber concrete of three different configurations using a material compression-shear testing machine by considering different axial compression ratios. The failure modes and shear stress-strain curves of rubber fiber concrete under different loading conditions were obtained. By comparatively analyzing the mechanical parameters of rubber fiber concrete under different axial compression ratios, the following conclusions were drawn. With the increase of the axial compression ratio, the failure mode in the shear direction gradually developed from a relatively straight crack to a main crack accompanied by a certain amount of axial cracks; meanwhile, the number of concrete slags on the shear failure section was gradually increased and the friction marks were gradually deepened. The addition of rubber particles increased the randomness and discreteness of the concrete upon failure, while fibers inhibited the development of oblique micro-cracks and the dropping of concrete slags. The shear stress of the concrete specimen containing rubber particles was significantly lower than those without rubber particles. Comparatively, fibers showed little effect on the shear stress. As the axial compression ratio increased, the shear stress and shear strain of rubber fiber concrete were gradually increased, but the increasing amplitude of shear stress tended to become flattened. Under the influence of the axial compression ratio, the shear stress of C-0%-0%, C-30%-0%, and C-30%-0.6% was increased by 4.57 times, 3.26 times, and 2.69 times, respectively, suggesting a gradually decreasing trend. At the same time, based on the principal stress space and the octahedral stress space, the compression-shear combined failure criterion was proposed for the three different rubber fiber concretes. The research findings are of great significance to the engineering application and development of rubber fiber concrete.

Failure Pressure in Corroded Pipelines Based on Equivalent Solutions for Undamaged Pipe

2010 ◽  
Vol 132 (5) ◽  
Author(s):  
M. Bony ◽  
J. L. Alamilla ◽  
R. Vai ◽  
E. Flores
Keyword(s):  
Shear Stress ◽  
Numerical Simulations ◽  
Wall Thickness ◽  
Yield Criteria ◽  
Failure Pressure ◽  
Average Shear Stress ◽  
Average Shear ◽  
Thin Walled ◽  
Von Mises

Simple and accurate approaches to predict failure pressures in corroded pipelines are outlined in this work. It is shown that failure pressures for corroded pipelines can be predicted from the solution for undamaged pipelines using an equivalent wall thickness. Three different yield criteria (Tresca, ASSY (average shear stress yield), and von Mises) are reviewed in the light of reported experimental burst pressures. At first, failure pressures for cylindrical vessels with an infinitely long groove are studied by means of numerical simulations. The effect of groove size (depth and width) over the pipeline performance is quantified through a model. Finally, the scheme is extended to estimate the failure pressure of thin walled vessels with irregular finite defects.

Mögliche Deutungen quadratischer Fließbedingungen bei Isotropie und Anisotropie / Physical Interpretations of Isotropic and Anisotropic Yield-Conditions

1975 ◽  
Vol 30 (8) ◽  
pp. 996-1000
Author(s):  
A. Troost ◽  
J. Betten
Keyword(s):  
Shear Stress ◽  
Principal Stress ◽  
Yield Criterion ◽  
Physical Significance ◽  
Stress Space ◽  
Physical Explanation ◽  
Principal Stress Space ◽  
Anisotropic Yield Criterion ◽  
The Difference ◽  
Yield Conditions

Abstract The paper introduces shear stress quantities, which are the difference of two stress tensors, the actual one and one produced by rotating the axes. This quantities have physical significance. In the vectorial representation in the principal stress space and the principal shear stress space the paper give some interesting relations. The authors observe that Hill′s anisotropic yield criterion can be derived from their shear stress quantities by introducing a measure tensor and gave a physical explanation to Hill′s condition.

Convexity studies of two anisotropic yield criteria in principal stress space

1999 ◽  
Vol 16 (2) ◽  
pp. 215-229 ◽  
Author(s):  
Pankaj ◽  
Mohammed Arif ◽  
Surendra K. Kaushik
Keyword(s):  
Principal Stress ◽  
Stress Space ◽  
Yield Criteria ◽  
Principal Stress Space

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.

An Eccentric Ellipse Failure Criterion for Amorphous Materials

2017 ◽  
Vol 84 (8) ◽  
Author(s):  
Bin Ding ◽  
Xiaoyan Li
Keyword(s):  
Shear Stress ◽  
Metallic Glasses ◽  
Amorphous Materials ◽  
Shear Failure ◽  
Failure Criteria ◽  
Atomistic Simulations ◽  
Stress Space ◽  
Tensile Shear ◽  
Strength Asymmetry ◽  
Von Mises

We proposed an eccentric ellipse criterion to describe the failure of amorphous materials under a combination of normal stress σ and shear stress τ. This criterion can reflect a tension–compression strength asymmetry, and unify four previous failure criteria in the σ–τ stress space, including von Mises criterion, Drucker–Prager criterion, Christensen criterion, and ellipse criterion. We examined the validity of the eccentric ellipse criterion in the tensile-shear failure regimes using the results from our atomistic simulations for two typical amorphous CuZr and LiSi, and recent tension–torsion experiments on metallic glasses. The predictions from the eccentric ellipse criterion agree well with these results from atomistic simulations and experiments. It indicates that this eccentric ellipse criterion is essential for the tensile-shear failure of amorphous materials.

Failure of Polymeric Materials under Biaxial Stress Fields

1967 ◽  
Vol 40 (3) ◽  
pp. 710-721
Author(s):  
M. G. Sharma
Keyword(s):  
Shear Stress ◽  
Maximum Shear Stress ◽  
Polymeric Materials ◽  
Biaxial Stress ◽  
Failure Behavior ◽  
Stress Space ◽  
Stress Criterion ◽  
Octahedral Shear Stress ◽  
Stress States ◽  
Strain Space

Abstract Failure behavior of polymeric materials depends considerably on which of the three material states (glassy, transition, and rubbery states) occurs. Failure behavior of polymeric materials can be described by the concept of failure surfaces in principal stress or principal strain space. For a Hycar elastomer, octahedral shear stress criterion described failure very well for stress states corresponding to the first quadrant of the stress space. For cellulose acetate butyrate, maximum shear stress criterion characterized failure reasonably well for stress states corresponding to the first and the fourth quadrants of stress space. It appears that it is possible to predict triaxial failure behavior from known biaxial failure properties.

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