Von Mises yield criterion
The von Mises yield criterion suggests that the yielding of materials begins when the second deviatoric stress invariant J_2 reaches a critical value. For this reason, it is sometimes called the J_2-plasticity or J_2 flow theory. It is part of a plasticity theory that applies best to ductile materials, such as metals. Prior to yield, material response is assumed to be elastic.
In materials science and engineering the von Mises yield criterion can be also formulated in terms of the von Mises stress or equivalent tensile stress, \sigma_v, a scalar stress value that can be computed from the Cauchy stress tensor. In this case, a material is said to start yielding when its von Mises stress reaches a critical value known as the yield strength, \sigma_y. The von Mises stress is used to predict yielding of materials under any loading condition from results of simple uniaxial tensile tests. The von Mises stress satisfies the property that two stress states with equal distortion energy have equal von Mises stress.
Because the von Mises yield criterion is independent of the first stress invariant, I_1, it is applicable for the analysis of plastic deformation for ductile materials such as metals, as the onset of yield for these materials does not depend on the hydrostatic component of the stress tensor.
Although formulated by Maxwell in 1865, it is generally attributed to Richard Edler von Mises (1913). Tytus Maksymilian Huber (1904), in a paper in Polish, anticipated to some extent this criterion. This criterion is also referred to as the MaxwellHuberHencky–von Mises theory.

This is an excerpt from the article Von Mises yield criterion from the Wikipedia free encyclopedia. A list of authors is available at Wikipedia.
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von Mises yield criterion - Wikipedia, the free encyclopedia
The Von Mises yield criterion suggests that the yielding of materials begins when the second deviatoric stress invariant J_2 reaches a critical value. For this ...
en.wikipedia.org/wiki/Von_Mises_yield_criterion
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Failure Criteria for Ductile Materials - eFunda
This page discusses common yield criteria for ductile materials: maximum shear criterion and von Mises criterion.
www.efunda.com/formulae/solid_mechanics/failure_criteria/failure_criteria_ductile.cfm
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Von Mises Criterion ( Maximum Distortion Energy Criterion ...
Von Mises Criterion ( Maximum Distortion Energy Criterion ) equations and overview.
www.engineersedge.com/material_science/von_mises.htm
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Von Mises Stress - Continuum Mechanics
This is accomplished by calculating the von Mises stress and comparing it to the material's yield stress, which constitutes the Von Mises yield criterion.
www.continuummechanics.org/cm/vonmisesstress.html
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What is Von Mises Stress ? ~ Learn Engineering
When the material reaches the yield point (for ductile material) the material can be ... So as a failure criterion, the engineer can check whether Von Mises stress ...
www.learnengineering.org/2012/12/what-is-von-mises-stress.html
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Strain and Strain Tensor - North Carolina State University
KL Murty page 1/plasticity MAT 450 Plasticity (Ch. 3 – sections : 3-1 to 3-6; 3-8) Multiaxial Loading - Tresca and von-Mises yield criteria
www4.ncsu.edu/~murty/MAT450/NOTES/plasticity.pdf
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2. Failure criteria for yielding
Failure Criteria for Yielding. Outline. Outline. 1 Introduction. 2 Tresca Criterion. 3 Von Mises Criterion. 4 Comparison and Example ...
andriandriyana.files.wordpress.com/2008/03/yield_criteria.pdf
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OCTAHEDRAL SHEAR STRESS CRITERION (VON MISES)
OCTAHEDRAL SHEAR STRESS CRITERION (VON MISES) Since hydrostatic stress alone does not cause yielding, we can find a material plane called the octahedral …
faculty.washington.edu/nsniadec/ME354/W08/Lecture10.pdf
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Derivation of von Mises Criterion
According to the von Mises's theory, a ductile solid will yield when the distortion energy density ... Then according to von Mises's failure criterion, the material.
www2.mae.ufl.edu/nkim/eas4200c/VonMisesCriterion.pdf
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Von Mises Yield Criterion demystified - Mechlabs
Everybody uses Von Mises yield criterion without knowing what exactly it is. Basically it is a equation that gives the equivalent stress at a point in a body acted  ...
www.mechlabs.in/articles/von-mises-yield-criterion-demystified/
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Von Mises yield criterion in science
von Mises yield criterion - Wikipedia, the free encyclopedia
The Von Mises yield criterion suggests that the yielding of materials begins when the second deviatoric stress invariant J_2 reaches a critical value. For this ...
Yield surface - Wikipedia, the free encyclopedia
2.1 Tresca yield surface; 2.2 von Mises yield surface; 2.3 Mohr–Coulomb yield surface; 2.4 Drucker–Prager yield surface ... The Von Mises yield criterion is expressed in the principal stresses as .... Cambridge University Press, 2012 .
[PDF]Derivation of von Mises Criterion
3. 0.1. Failure Theories. In the previous section, we introduced the concept of stress, strain and the relationship between stresses and strains. We also discussed ...
Yield criteria for metals - DoITPoMS
University of Cambridge ... A yield criterion is a hypothesis defining the limit of elasticity in a material ... The von Mises criterion can therefore be expressed as:.
Wolfram Demonstrations Project: Von Mises Yield Criterion
Jan 24, 2008 ... For stress states where the von Mises equivalent stress is less than the yield strength ... Contributed by: Megan Frary (Boise State University) ...
[PDF]Chapter 7 Yielding criteria
(2)The von-Mises yield criterion. Yielding begin when the octahedral shear stress reaches the octahedral shear stress at yield in simple tension. , oct oct o τ τ= 又 ...
Is there any relationship between shear strength and tensile strength ...
José Luís Lopes Silveira · Federal University of Rio de Janeiro .... The Von Mises yield criterion related the applled stress state to the shear stress. If you are ...
[PDF]teaching von mises stress - University of Arkansas
The von Mises stress is an equivalent or effective stress at which yielding is predicted ..... failure theories (or yield criteria) used to evaluate machine components ...
[PDF]MULTIAXIAL STRESSES - eFatigue
Ali Fatemi - University of Toledo All Rights Reserved Chapter 10 – Multiaxial Fatigue. 1. MULTIAXIAL .... The Von Mises yield criterion is given by where S.
[PDF]Pressure dependent yield criteria for polymers - Deep Blue
Department of Mechanical Engineering, University of Michigan, Ann Arbor, Mich. 48104 {U.S.A.) ... sure modified von Mises criterion provides the best overall ...
Books on the term Von Mises yield criterion
MECHANICS OF SOLIDS
ARBIND KUMAR SINGH, 2007
used in the design are also important from the point of view of development of new criteria. Some of the commonly used yield criteria/ failure criteria are 1. Von Mises yield criterion 2. Tresca yield criterion 3. Mohr-Coulomb yield criterion 4.
Modern Physical Metallurgy and Materials Engineering: ...
R. E. Smallman, Ray J. Bishop, 1999
Figure 7.47 Schematic representation of the yield surface with (a) principal stresses CT/ , 02 and 03, (b) Von Mises yield criterion and (c) Tresca yield criterion. Figure 7.66 Schematic representation of Herring-Nabarro creep; with CT >.
Strength and Stiffness of Engineering Systems
Frederick A. Leckie, Dominic J. Bello, 2009
Another yield criterion, proposed by von Mises, is derived considering the strain energy that develops at a material point. In the von Mises Criterion, the Equivalent Stress or von Mises Stress, σo , is first calculated. In three-dimensions, the von ...
Guide to Stability Design Criteria for Metal Structures
Guide to Stability Design Criteria for Metal Structures
Ronald D. Ziemian, 2010
The definitive guide to stability design criteria, fully updated and incorporating current researchRepresenting nearly fifty years of cooperation between Wiley and the Structural Stability Research Council, the Guide to Stability Design Criteria for Metal Structures is often described as an invaluable reference for practicing structural engineers a...
Mechanics and Mechanisms of Fracture: An Introduction
Alan F. Liu, 2005
2.2 Yield Criteria The octahedral strain is given by: 2 c oct 3 222 • (e e) (e e) (e e) 12 23 31 (Eq 2.26c) or 2 c oct 3 The main reason ... When the von Mises equivalent stress is adopted as the effective stress (Eq 1.27a to r 1.28b), the material is ...
Cold and Hot Forging: Fundamentals and Applications
Taylan Altan, Gracious Ngaile, Gangshu Shen, 2005
In uniaxial tension or compression (points A and B), the von Mises and Tresca yield criteria exhibit the same values; i.e., when r1 F/A and r2 r3 0, Eq 5.6(a) gives : 1 2 2r ̄r,orr ̄r (Eq 5.7) 11 2 which is the same as that obtained from Eq 5.3.
Schaum's Outline of Continuum Mechanics
Schaum's Outline of Continuum Mechanics
George Mase, 1969
For comprehensive—and comprehensible—coverage of both theory and real-world applications, you can’t find a better study guide than Schaum’s Outline of Continuum Mechanics. It gives you everything you need to get ready for tests and earn better grades! You get plenty of worked problems—solved for you step by step—along with hundreds of practice prob...
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Von Mises yield criterion
von Mises yield criterion - Wikipedia, the free encyclopedia
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Yield surface - Wikipedia, the free encyclopedia
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Frequently Asked Questions on Von Mises Stress Explained
The purpose of this ongoing blog series is to make the Finite Element Analysis software within SolidWorks, more accessible to a wider audience of not-necessarily-engineering users. Who/What is Von Mises stress, and why do we use it in FEA analysis? I find distressing pleas for clarity out on the Interwebs discussion forums. Usually coupled with pages of blind-leading-the-blind responses, with maybe one or two calm, well-couched replies buried so deeply in the thread, one wonders how many actually probed deep enough to benefit. Then we have the danger of Wikipedia Engineering. I quote verbatim: “The Von Mises yield criterion[1] suggests that the yielding of materials begins when the second deviatoric stress invariant J_2 reaches a critical value.”Oh. My. God bless you, Wikipedia. Sometimes you are written by humans. But sometimes you are written by mathematics doctoral candidates who care not for the utility of the sentence, as long as there are many beautiful words.
www.capinc.com/2014/02/12/frequently-asked-questions-on-von-mises-stress-explained
What is Von Mises Stress ? ~ Learn Engineering
Learn topics in mechanical, electrical and civil engineering through interactive video lessons!
www.learnengineering.org/2012/12/what-is-von-mises-stress.html
: SolidWorks Simulation: What is Von Mises Stress? - Part 2 of 2
*To read part 1 of this series please click here. This is the second half of the article which explains what exactly Von Mises stress is, and why...
blog.design-point.com/blog/2013/january/solidworks-simulation-what-is-von-mises-stress-part-2-of-2.aspx
Theories of failure for ductile materials :Von Mises Criterion
Here we will discuss maximum distortion energy theory which is also known as von mises theory,shear strain energy theory or octahedral shear stress theory.
blog.mechguru.com/machine-design/theories-of-failure-for-ductile-materials-part-2-von-mises-criterion/
von Mises yield criterion: Definition from Answers.com
Von Mises yield criterion ( fn ¦mzz yld krtirn ) ( mechanics ) The assumption that plastic deformation of a mater
www.answers.com/topic/von-mises-yield-criterion
How to explain the expression of von Mises Yield criterion in v4.1
Hi, Before going into my question, I must admit that I am a relatively new user of COMSOL. I have been attempting to understand variable definitions in yield criterion for an elastoplastic material...
www.comsol.com/community/forums/general/thread/17663/
Finite Element Analysis (FEA) engineering - Von Mises beyond Yield, is it valid for Ultimate loading - Part 2
www.eng-tips.com/viewthread.cfm?qid=349560
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