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- '''Stress''' ...s known as stress,(symbol <math>\sigma\;</math>), and in this case tensile stress. ...2 KB (307 words) - 13:29, 6 January 2011
- of stress, show that there are only six possible components of stress. Since the stress in the cube is homogeneous, the forces on opposite ...1 KB (225 words) - 02:38, 5 October 2021
- A homogeneous stress field with components in the basis <math>(\mathbf{e}_1, \mathbf{e}_2, \math # The principal directions of stress. ...3 KB (385 words) - 02:38, 5 October 2021
- A stress field whose components in the basis <math>(\mathbf{e}_1, \mathbf{e}_2, \mat # Determine the principal directions of stress at point P. ...7 KB (692 words) - 02:38, 5 October 2021
- ...5 target], ''The Australian'', 16/6/2010.</ref> These trends indicate that stress and mental health issues are likely to become an even more notable phenomen This page is intended to be an informative resource about stress experienced by university students. Currently it consists of notes develope ...24 KB (3,083 words) - 17:36, 8 January 2020
- ...inclined to the directions of the three principal stresses. For any given stress of state there are eight such planes. ...}}, II_{\boldsymbol{\sigma}})\,</math> are the first two invariants of the stress tensor (<math>\boldsymbol{\sigma}\,</math>). ...3 KB (415 words) - 02:38, 5 October 2021
- A state of ''plane stress'' exists when one of the three principal <math>\left(\sigma_1, \sigma_2, \s The stress tensor can then be approximated by: ...2 KB (221 words) - 02:38, 5 October 2021
- ==Von Mises Stress or Equivalent Stress== The von Mises stress/equivalent stress/distortional strain energy is given by the relation ...535 bytes (67 words) - 02:38, 5 October 2021
- The Airy stress function (<math>\varphi</math>): *Scalar potential function that can be used to find the stress. ...7 KB (905 words) - 19:35, 11 April 2020
- ==Stress Energy Momentum Tensor== ...short of elements <math>T^{\mu \nu}</math> contains information about the stress, pressure, energy density, and momentum density of the matter in the spacet ...5 KB (751 words) - 07:59, 28 July 2021
- Stress functions are scalar or vector potential functions that satisfy the equilib == Stress functions == ...3 KB (407 words) - 02:38, 5 October 2021
- ...ensor of electromagnetic field. The covariant derivative of pressure field stress-energy tensor determines density of pressure force acting on matter. ...relative stress emerging during deformations of bodies, the pressure field stress-energy tensor describes any internal stresses, including stresses in the ab ...17 KB (2,710 words) - 05:46, 16 February 2025
- ...sor of electromagnetic field. The covariant derivative of the acceleration stress-energy tensor determines density of [[four-force]] acting on matter particl ...ch consists of the scalar and 3-vector components. In CTG the acceleration stress-energy tensor was defined by [[User:Fedosin | Fedosin]] through the [[accel ...14 KB (2,345 words) - 05:37, 16 February 2025
- == Prandtl Stress Function φ== To simplify matters, we define the Prandtl stress function <math>\phi(x_1,x_2)\,</math> ...3 KB (422 words) - 16:42, 6 March 2022
- ...nsor of electromagnetic field. The covariant derivative of the dissipation stress-energy tensor determines the density of dissipation force acting on the mat ...eneralization of the three-dimensional [[w:viscous stress tensor | viscous stress tensor]] used in [[w:fluid mechanics |fluid mechanics]]. ...15 KB (2,449 words) - 17:01, 29 November 2020
- ...tensor of electromagnetic field. The covariant derivative of gravitational stress-energy tensor determines density of gravitational force acting on matter. In LITG the gravitational stress-energy tensor is determined through [[Physics/Essays/Fedosin/Gravitational ...30 KB (4,693 words) - 12:03, 15 February 2025
- == Airy stress function with body force potential == If a body force exists, the Airy stress function (<math>\varphi</math>) has to be combined with a body force potent ...8 KB (975 words) - 17:30, 31 May 2018
- ==Stress measures== Three stress measures are widely used in continuum mechanics (particularly in the comput ...7 KB (1,089 words) - 01:16, 26 July 2017
- ==Objective stress rates== stress rate and a strain rate (or the rate of deformation). We would like our ...17 KB (2,488 words) - 17:30, 12 April 2020
- == Solution strategy using the Prandtl stress function== ...2 KB (296 words) - 02:38, 5 October 2021
Page text matches
- ==Von Mises Stress or Equivalent Stress== The von Mises stress/equivalent stress/distortional strain energy is given by the relation ...535 bytes (67 words) - 02:38, 5 October 2021
- ==Deviatoric and volumetric stress== Often it is convenient to decompose the stress tensor into volumetric and ...1 KB (207 words) - 01:08, 26 July 2017
- ...erturbed by a spherical void of radius <math>a</math> which leads to a new stress state ...heta\phi}\,</math>, and <math>\sigma_{\phi r}\,</math> to be? What is the stress concentration factor at the void? ...2 KB (282 words) - 02:38, 5 October 2021
- Stress functions are scalar or vector potential functions that satisfy the equilib == Stress functions == ...3 KB (407 words) - 02:38, 5 October 2021
- of stress, show that there are only six possible components of stress. Since the stress in the cube is homogeneous, the forces on opposite ...1 KB (225 words) - 02:38, 5 October 2021
- ==Stress measures== Three stress measures are widely used in continuum mechanics (particularly in the comput ...7 KB (1,089 words) - 01:16, 26 July 2017
- ...force the incompressibility constraint. The 1<sup>st</sup> Piola-Kirchhoff stress now becomes ...r conventional stress tensors, such as the [[w:Cauchy_stress_tensor|Cauchy Stress tensor]] which is given by ...2 KB (273 words) - 22:32, 25 July 2017
- == Average Stress in a RVE == Let the average stress in the RVE be defined as ...5 KB (695 words) - 22:25, 25 July 2017
- ...be used as a [[Introduction to Elasticity/Prandtl stress function|Prandtl stress function]] for this cross section. a Prandtl stress function. ...910 bytes (138 words) - 02:38, 5 October 2021
- '''Stress''' ...s known as stress,(symbol <math>\sigma\;</math>), and in this case tensile stress. ...2 KB (307 words) - 13:29, 6 January 2011
- The Prandtl stress function <math>\phi\,</math> can be approximated as a linear function betwe The local shear stress is, therefore, ...784 bytes (120 words) - 02:38, 5 October 2021
- {{font|color=green|Apply the plane stress condition and solve for <math>D_{yy}</math>.}} The plane stress condition requires that <math>\sigma_{yy} = 0</math> in the laminar coordin ...616 bytes (95 words) - 04:31, 3 June 2018
- ===Chapter 1:Analysis of Stress=== ====three-dimensional state of stress==== ...3 KB (449 words) - 22:11, 25 March 2016
- ...r coordinates (<math> r, \theta \,</math>). The solution is such that the stress components are in the form of a [[w:Fourier series|Fourier series]] in <ma ...f> showed that the general solution can be expressed in terms of an [[Airy stress function]] of the form ...9 KB (1,430 words) - 20:42, 21 March 2018
- == 1-D stress measures == *Engineering/Nominal stress: ...6 KB (1,075 words) - 01:16, 26 July 2017
- The yield stress <math>\sigma_y</math> is given by the Johnson-Cook where <math>\sigma_0</math> is the initial yield stress, <math>B, n</math> are constants, ...1 KB (200 words) - 03:16, 14 March 2018
- Relation of stress and strain in a cubic crystal ===Conventions of Relabeling Stress, Strain, Stiffness, and Compliance in Matrix Notation=== ...2 KB (234 words) - 17:56, 6 September 2015
- == Average stress in a RVE == The average nominal (first Piola-Kirchhoff ) stress is defined as ...3 KB (461 words) - 22:25, 25 July 2017
- ...n the path of deformation or the history of deformation. Neither does the stress depend on the time taken to achieve that deformation or the rate at which t ...erefore a Cauchy elastic material has a non-conservative structure and the stress cannot be derived from a scalar potential function. ...5 KB (711 words) - 22:32, 25 July 2017
- == Prandtl Stress Function φ== To simplify matters, we define the Prandtl stress function <math>\phi(x_1,x_2)\,</math> ...3 KB (422 words) - 16:42, 6 March 2022