Von Mises yield criterion

Résumé

In continuum mechanics, the maximum distortion criterion (also von Mises yield criterion) states that yielding of a ductile material begins when the second invariant of deviatoric stress reaches a critical value. It is a part of plasticity theory that mostly applies to ductile materials, such as some metals. Prior to yield, material response can be assumed to be of a nonlinear elastic, viscoelastic, or linear elastic behavior. In materials science and engineering, the von Mises yield criterion is also formulated in terms of the von Mises stress or equivalent tensile stress, . This is a scalar value of stress that can be computed from the Cauchy stress tensor. In this case, a material is said to start yielding when the von Mises stress reaches a value known as yield strength, . The von Mises stress is used to predict yielding of materials under complex loading from the results of uniaxial tensile tests. The von Mises stress satisfies the property where two stress states with equal distortion energy have an equal von Mises stress. Because the von Mises yield criterion is independent of the first stress invariant, , it is applicable for the analysis of plastic deformation for ductile materials such as metals, as onset of yield for these materials does not depend on the hydrostatic component of the stress tensor. Although it has been believed it was formulated by James Clerk Maxwell in 1865, Maxwell only described the general conditions in a letter to William Thomson (Lord Kelvin). Richard Edler von Mises rigorously formulated it in 1913. Tytus Maksymilian Huber (1904), in a paper written in Polish, anticipated to some extent this criterion by properly relying on the distortion strain energy, not on the total strain energy as his predecessors. Heinrich Hencky formulated the same criterion as von Mises independently in 1924. For the above reasons this criterion is also referred to as the "Maxwell–Huber–Hencky–von Mises theory". Mathematically the von Mises yield criterion is expressed as: Here is yield stress of the material in pure shear.

Source officielle

https://en.wikipedia.org/wiki/Von_Mises_yield_criterion

À propos de ce résultat

Cette page est générée automatiquement et peut contenir des informations qui ne sont pas correctes, complètes, à jour ou pertinentes par rapport à votre recherche. Il en va de même pour toutes les autres pages de ce site. Veillez à vérifier les informations auprès des sources officielles de l'EPFL.

Publications associées (2)

Multiaxial fatigue analysis of high-strength steel welded joints using generalized local approaches

Martin Antonio René Garcia

The objective of this thesis is to improve methods for predicting the fatigue life, multiaxial or not, of mild- and more particularly high-strength steels using local approaches that have the capacity

EPFL2020

A Simple Criterion for Non-relative Hyperbolicity and One-endedness of Groups

2005

Personnes associées (1)

Jean-François Molinari

Cours associés (2)

MATH-101(g): Analysis I

Étudier les concepts fondamentaux d'analyse et le calcul différentiel et intégral des fonctions réelles d'une variable.

HUM-219: Science and literature C

L'objectif du cours est de d'apprendre à analyser un genre littéraire, graphique et cinématographique, la science-fiction, en se penchant sur les multiples variations qu'il a pris au cours du temps.

Séances de cours associées (14)

Réflexions sur les récits personnels

Explore les aspects critiques de la narration, en encourageant une approche saine et réfléchie pour partager son voyage unique.

Série harmonique et série géométrique

Couvre les concepts fondamentaux des séries harmoniques et des séries géométriques, y compris leurs critères de convergence et leurs applications.

Analyse I : Fonctions décroissantes et croissantes

Explore les fonctions décroissantes et croissantes, les séquences limitées et limite l'existence.

Afficher plus