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stress tensor
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Figure 2: The nine components of a stress tensor. The first index denotes the direction of the normal, or perpendicular, stresses to the plane across which the contact force acts, and the second index denotes the direction of the component of force (see text).
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stress tensor

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Figure 2: The nine components of a stress tensor. The first index denotes the direction of the normal, or perpendicular, stresses to the plane across which the contact force acts, and the second index denotes the direction of the component of force (see text).
Figure 2: The nine components of a stress tensor. The first index denotes the direction of the normal, or perpendicular, stresses to the plane across which the contact force acts, and the second index denotes the direction of the component of force (see text).

In mechanics, the stress tensor is a fundamental concept used to describe the internal forces within a deformable solid. It's a mathematical tool that quantifies how forces are distributed within a material when it's subjected to external loads.

The stress tensor is a second-rank tensor, meaning it has nine components that describe the forces acting on imaginary planes within the material. These components include normal stresses (perpendicular to the plane) and shear stresses (parallel to the plane). The relationship between stress and strain (deformation) is characteristic of the material itself and is crucial for understanding how materials behave under load.123

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3 Britannica Sources
  1. mechanics of solids - Stress
  2. mechanics of solids - Principal stresses
  3. mechanics of solids - Equations of motion

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