A yield surface is a five-dimensional surface in the six-dimensional space of stresses. The yield surface is usually convex and the state of stress of inside the yield surface is elastic. When the stress state lies on the surface the material is said to have reached its yield point and the material is said to have become plastic. Further deformation of the material causes the stress state to remain on the yield surface, even though the shape and size of the surface may change as the plastic deformation evolves. This is because stress states that lie outside the yield surface are non-permissible in rate-independent plasticity, though not in some models of viscoplasticity. The yield surface is usually expressed in terms of (and visualized in) a three-dimensional principal stress space, a two- or three-dimensional space spanned by stress invariants or a version of the three-dimensional Haigh–Westergaard stress space. Thus we may write the equation of the yield surface (that is, the yield function) in the forms: * where are the principal stresses. * where is the first principal invariant of the Cauchy stress and are the second and third principal invariants of the deviatoric part of the Cauchy stress. * where are scaled versions of and and is a function of . * where are scaled versions of and , and is the stress angle or Lode angle (Wikipedia).
From playlist Surface integrals
This video defines a cylindrical surface and explains how to graph a cylindrical surface. http://mathispower4u.yolasite.com/
From playlist Quadric, Surfaces, Cylindrical Coordinates and Spherical Coordinates
MATH2018 Lecture 2.4 Level Surfaces, Tangent Planes, and Normal Lines
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From playlist MATH2018 Engineering Mathematics 2D
Learn how to determine the volume of a sphere
👉 Learn how to find the volume and the surface area of a sphere. A sphere is a perfectly round 3-dimensional object. It is an object with the shape of a round ball. The distance from the center of a sphere to any point on its surface is called the radius of the sphere. A sphere has a unifo
From playlist Volume and Surface Area
This video introduces volume and shows how to determine the volume of a cube and rectangular solid. http://mathispower4u.com
From playlist Volume and Surface Area (Geometry)
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👉 Learn how to find the volume and the surface area of a sphere. A sphere is a perfectly round 3-dimensional object. It is an object with the shape of a round ball. The distance from the center of a sphere to any point on its surface is called the radius of the sphere. A sphere has a unifo
From playlist Volume and Surface Area
Find the volume of a sphere given the circumference
👉 Learn how to find the volume and the surface area of a sphere. A sphere is a perfectly round 3-dimensional object. It is an object with the shape of a round ball. The distance from the center of a sphere to any point on its surface is called the radius of the sphere. A sphere has a unifo
From playlist Volume and Surface Area
Finding the volume and the surface area of a sphere
👉 Learn how to find the volume and the surface area of a sphere. A sphere is a perfectly round 3-dimensional object. It is an object with the shape of a round ball. The distance from the center of a sphere to any point on its surface is called the radius of the sphere. A sphere has a unifo
From playlist Volume and Surface Area
Synthesis Workshop: Electrochemical Terpene Synthesis with Maximilian Palkowitz (Episode 95)
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From playlist Research Spotlights
Surface Area of Prisms and Pyramids
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From playlist Surface Area and Volume
Variational Surface Cutting - SIGGRAPH 2018
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From playlist Research
Mod-04 Lec-29 Photocatalysis - I
Nano structured materials-synthesis, properties, self assembly and applications by Prof. A.K. Ganguli,Department of Nanotechnology,IIT Delhi.For more details on NPTEL visit http://nptel.ac.in
EDEXCEL IGCSE Biology (1B, May 2015) Part 2 - GCSE Biology Questions - SCIENCE WITH HAZEL
In this IGCSE Biology revision video, Hazel answers the second part of the IGCSE Edexcel May 2015 1B paper. These videos are designed to help with your GCSE science revision. For additional support Like Hazel's Facebook Page https://goo.gl/w2261M Hazel completed her undergraduate degree
From playlist GCSE Science Exam Questions //
10/19/2016 Intro to MSE microscopy and mechanical properties
Callister Intro to MSE, materials science, microscopy, slip planes, ASTM testing, tension, compression, shear, forces, poisson ratio, modulus from atomic forces, yield strength, stress and strain curves, ultimate tensile stress, necking, work hardening
From playlist Introduction to Materials Science and Engineering Fall 2016
Mod-04 Lec-39 Mechanical Properties
Nano structured materials-synthesis, properties, self assembly and applications by Prof. A.K. Ganguli,Department of Nanotechnology,IIT Delhi.For more details on NPTEL visit http://nptel.ac.in
0:00 stress concentrators 3:24 stress intensity factor 5:07 Griffith theory of brittle fracture brief origin 10:20 Griffith fracture equation 11:12 Y, geometric crack size parameter 13:46 KIc fracture toughness 17:01 fracture critical flaw size example question 21:11 general characteristic
From playlist Introduction to Materials Science and Engineering Fall 2018
Understanding Cohesive Granular Materials at Multiple Length Scales by Tejas Gorur Murthy
COLLOQUIUM UNDERSTANDING COHESIVE GRANULAR MATERIALS AT MULTIPLE LENGTH SCALES SPEAKER: Tejas Gorur Murthy (Indian Institute of Science, Bangalore) DATE: Mon, 17 October 2022, 15:30 to 17:00 VENUE: Online and Ramanujan Lecture Hall ABSTRACT Cohesion between granular particles is co
From playlist ICTS Colloquium - Seminar
Rachel Neville (11/20/19): Topological techniques for characterizing ion bombardment systems
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From playlist AATRN 2019
How do you find the surface area of a sphere
👉 Learn how to find the volume and the surface area of a sphere. A sphere is a perfectly round 3-dimensional object. It is an object with the shape of a round ball. The distance from the center of a sphere to any point on its surface is called the radius of the sphere. A sphere has a unifo
From playlist Volume and Surface Area
Stoichiometry Part 3 - Gases and Liquids
IB Chemistry Lesson on the stoichiometry of gases and liquids.
From playlist IB Chemistry