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Solid mechanics is the branch of physics and mathematics that concerns the behavior of solid matter under external actions (e.g., external forces, temperature changes, applied displacements, etc.). It is part of a broader study known as continuum mechanics.
A material has a rest shape and its shape departs away from the rest shape due to stress. The amount of departure from rest shape is called deformation, the proportion of deformation to original size is called strain. If the applied stress is sufficiently low (or the imposed strain is small enough), almost all solid materials behave in such a way that the strain is directly proportional to the stress; the coefficient of the proportion is called the modulus of elasticity or Young's modulus. This region of deformation is known as the linearly elastic region.
There are several standard models for how solid materials respond to stress:
One of the most common practical applications of Solid Mechanics is the Euler-Bernoulli beam equation.
Solid mechanics extensively uses tensors to describe stresses, strains, and the relationship between them.
Typically, solid mechanics uses linear models to relate stresses and strains (see linear elasticity). However, real materials often exhibit non-linear behavior.
For more specific definitions of stress, strain, and the relationship between them, please see strength of materials.
|This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Solid_mechanics". A list of authors is available in Wikipedia.|