Search results
Results from the WOW.Com Content Network
Von Mises yield criterion in 2D (planar) loading conditions: if stress in the third dimension is zero (=), no yielding is predicted to occur for stress coordinates , within the red area. Because Tresca's criterion for yielding is within the red area, Von Mises' criterion is more lax.
The formula reduces to the von Mises equation if =. Figure 7 shows Drucker–Prager yield surface in the three-dimensional space of principal stresses. It is a regular cone. Figure 8 shows Drucker–Prager yield surface in two-dimensional space.
Maximum distortion energy theory (von Mises yield criterion) also referred to as octahedral shear stress theory. [4] – This theory proposes that the total strain energy can be separated into two components: the volumetric (hydrostatic) strain energy and the shape (distortion or shear) strain energy. It is proposed that yield occurs when the ...
Principal stresses are often expressed in the following equation for evaluating stresses in the x and y directions or axial and bending stresses on a part. [14]: p.58–59 The principal normal stresses can then be used to calculate the von Mises stress and ultimately the safety factor and margin of safety.
This plot shows a typical meridional profile of several plasticity models: von Mises, linear Drucker–Prager, Mohr–Coulomb, Gurson, and Bigoni–Piccolroaz. The upper portion of the plot depicts yield surface behavior in triaxial extension and the lower portion depicts yield surface behavior in triaxial compression.
In continuum mechanics, stress triaxiality is the relative degree of hydrostatic stress in a given stress state. [1] It is often used as a triaxiality factor, T.F, which is the ratio of the hydrostatic stress, , to the Von Mises equivalent stress, . [2] [3] [4].
Hierarchy of micromechanics-based analysis procedure for composite structures. The theory of micro-mechanics of failure aims to explain the failure of continuous fiber reinforced composites by micro-scale analysis of stresses within each constituent material (such as fiber and matrix), and of the stresses at the interfaces between those constituents, calculated from the macro stresses at the ...
The Mohr–Coulomb theory is named in honour of Charles-Augustin de Coulomb and Christian Otto Mohr.Coulomb's contribution was a 1776 essay entitled "Essai sur une application des règles des maximis et minimis à quelques problèmes de statique relatifs à l'architecture" .