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5.2: Deviatoric (von Mises) and Hydrostatic Stresses and Strains
https://eng.libretexts.org/Bookshelves/Materials_Science/TLP_Library_II/5%3A_Mechanical_Testing_of_Metals/5.2%3A_Deviatoric_(von_Mises)_and_Hydrostatic_Stresses_and_Strains
WEBNov 26, 2020 · Under simple uniaxial tension or compression, the von Mises stress is equal to the applied stress, while the hydrostatic stress is equal to one third of it. The von Mises stress is always positive, while the hydrostatic stress can be positive or negative.
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8.2.1 Deviatoric Stress - University of Auckland
https://pkel015.connect.amazon.auckland.ac.nz/SolidMechanicsBooks/Part_II/08_Plasticity/08_Plasticity_02_Stress_Analysis.pdf
WEBIn a completely analogous manner to the derivation of the principal stresses and the principal scalar invariants of the stress matrix, §7.2.4, one can determine the principal stresses and principal scalar invariants of the deviatoric stress matrix. The former are denoted s , s. 2 , s and the latter are denoted by. 3.
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Cauchy stress tensor - Wikipedia
https://en.wikipedia.org/wiki/Cauchy_stress_tensor
WEBa mean hydrostatic stress tensor or volumetric stress tensor or mean normal stress tensor, , which tends to change the volume of the stressed body; and a deviatoric component called the stress deviator tensor , s i j {\displaystyle s_{ij}} , …
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Hydrostatic & Deviatoric Stresses - Continuum Mechanics
https://www.continuummechanics.org/hydrodeviatoricstress.html
WEBThis page introduces hydrostatic and deviatoric stresses. The two are subsets of any given stress tensor, which, when added together, give the original stress tensor back. The hydrostatic stress is related to volume change, while the deviatoric stress is … meaning
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Deviatoric Stress | SpringerLink
https://link.springer.com/referenceworkentry/10.1007/978-3-319-73568-9_88
WEBJan 1, 2018 · Deviatoric stress is the difference between the stress tensor σ and hydrostatic pressure tensor p acting on the rock or soil mass. Context Stress that causes a change in volume of a rock or soil reference cube without also causing a change in shape is called hydrostatic pressure, because it acts equally in all directions; thus, …
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Deviatoric stress - Oxford Reference
https://www.oxfordreference.com/display/10.1093/oi/authority.20110803095714399
WEBA stress component in a system which consists of unequal principal stresses. There are three deviatoric stresses, obtained by subtracting the mean (or hydrostatic) stress (σ-) from each principal stress (i.e. σ1 – σ-, σ2 – σ-, and σ3 – σ-). Deviatoric stresses control the degree of body distortion.
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Why is the deviatoric stress the stress that causes distortions?
https://physics.stackexchange.com/questions/487118/why-is-the-deviatoric-stress-the-stress-that-causes-distortions
WEBJun 20, 2019 · The deviatoric part of the stress corresponds to normal stresses on the surface of the cube, but (since the deviatoric stress tensor is traceless) the sum of all normal stresses is zero -- you have compression in (at least) one direction and tension in (at least) one direction.
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3.4: Constitutive Relations - Engineering LibreTexts
https://eng.libretexts.org/Bookshelves/Mechanical_Engineering/Mechanics_of_Materials_(Roylance)/03%3A_General_Concepts_of_Stress_and_Strain/3.04%3A_Constitutive_Relations
WEBThe \(\sum_{ij}\) is called the distortional, or deviatoric, component of the stress. Hence all stress states can be thought of as having two components as shown in Figure 2, one purely extensional and one purely distortional.
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Deviatoric Stress - an overview | ScienceDirect Topics
https://www.sciencedirect.com/topics/engineering/deviatoric-stress
WEBThe deviatoric component is the reason for the shape change and the eventual rise in the shear stresses. Equation J 2 is often used in calculations of shear strength of materials, and it is known as Von Mises theory of failure.
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Why is deviatoric stress the one causing distortions?
https://engineering.stackexchange.com/questions/28880/why-is-deviatoric-stress-the-one-causing-distortions
WEBJun 20, 2019 · Deviatoric stress tensor is what we get when we subtract a tensor with the pressure on diagonal from the original Cauchy stress tensor.
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