Search results
Results from the WOW.Com Content Network
Figure 7.1 Plane stress state in a continuum. In continuum mechanics, a material is said to be under plane stress if the stress vector is zero across a particular plane. When that situation occurs over an entire element of a structure, as is often the case for thin plates, the stress analysis is considerably simplified, as the stress state can be represented by a tensor of dimension 2 ...
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.
Figure 6 shows Mohr–Coulomb yield surface in two-dimensional stress space. In Figure 6 and is used for and , respectively, in the formula. It is a cross section of this conical prism on the plane of ,. In Figure 6 Rr and Rc are used for Syc and Syt, respectively, in the formula.
This way, the shear stress acting on plane B is negative and the shear stress acting on plane A is positive. The diameter of the circle is the line joining point A and B. The centre of the circle is the intersection of this line with the -axis. Knowing both the location of the centre and length of the diameter, we are able to plot the Mohr ...
The tetrahedron is formed by slicing the infinitesimal element along an arbitrary plane with unit normal n. The stress vector on this plane is denoted by T (n). The stress vectors acting on the faces of the tetrahedron are denoted as T (e 1), T (e 2), and T (e 3), and are by definition the components σ ij of the stress tensor σ.
The dimension of stress is that of pressure, ... For any plane S that is perpendicular to the layer, the net internal force across S, and hence the stress, ...
The chief advantage of critical plane analysis over earlier approaches like Sines rule, or like correlation against maximum principal stress or strain energy density, is the ability to account for damage on specific material planes. This means that cases involving multiple out-of-phase load inputs, or crack closure can be treated with high ...
Contact between a sphere and an elastic half-space and one-dimensional replaced model. Some contact problems can be solved with the method of dimensionality reduction (MDR). In this method, the initial three-dimensional system is replaced with a contact of a body with a linear elastic or viscoelastic foundation (see fig.).