Search results
Results from the WOW.Com Content Network
Shear stress (often denoted by τ, Greek: tau) is the component of stress coplanar with a material cross section. It arises from the shear force, the component of force vector parallel to the material cross section. Normal stress, on the other hand, arises from the force vector component perpendicular to the material cross section on which it acts.
Mathematical definition. Mathematically, the stress at some point in the material is a plane stress if one of the three principal stresses (the eigenvalues of the Cauchy stress tensor) is zero. That is, there is Cartesian coordinate system in which the stress tensor has the form. For example, consider a rectangular block of material measuring ...
The normal and shear components of the stress tensor on these planes are called octahedral normal stress and octahedral shear stress, respectively. Octahedral plane passing through the origin is known as the π-plane ( π not to be confused with mean stress denoted by π in above section) .
Mohr–Coulomb theory is a mathematical model (see yield surface) describing the response of brittle materials such as concrete, or rubble piles, to shear stress as well as normal stress. Most of the classical engineering materials follow this rule in at least a portion of their shear failure envelope. Generally the theory applies to materials ...
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 ...
t. e. In continuum mechanics, the maximum distortion energy criterion (also von Mises yield criterion [1]) states that yielding of a ductile material begins when the second invariant of deviatoric stress reaches a critical value. [2] It is a part of plasticity theory that mostly applies to ductile materials, such as some metals.
Critical resolved shear stress. In materials science, critical resolved shear stress ( CRSS) is the component of shear stress, resolved in the direction of slip, necessary to initiate slip in a grain. Resolved shear stress (RSS) is the shear component of an applied tensile or compressive stress resolved along a slip plane that is other than ...
Schmid's law. In materials science, Schmid's law (also Schmid factor [a]) describes the slip plane and the slip direction of a stressed material, which can resolve the most shear stress . Schmid's Law states that the critically resolved shear stress ( τ) is equal to the stress applied to the material ( σ) multiplied by the cosine of the angle ...