A displacement field is an assignment of
displacement vectors for all points in a region or body that is displaced from one state to another.
A displacement vector specifies the position of a point or a particle in reference to an origin or to a previous position. For example, a displacement field may be used to describe the effects of
deformation
Deformation can refer to:
* Deformation (engineering), changes in an object's shape or form due to the application of a force or forces.
** Deformation (physics), such changes considered and analyzed as displacements of continuum bodies.
* Defor ...
on a solid body.
Before considering displacement, the state before deformation must be defined. It is a state in which the coordinates of all points are known and described by the function:
where
*
is a placement vector
*
are all the points of the body
*
are all the points in the space in which the body is present
Most often it is a state of the body in which no forces are applied.
Then given any other state of this body in which coordinates of all its points are described as
the displacement field is the difference between two body states:
where
is a displacement field, which for each point of the body specifies a
displacement vector
In geometry and mechanics, a displacement is a vector whose length is the shortest distance from the initial to the final position of a point P undergoing motion. It quantifies both the distance and direction of the net or total motion along a ...
.
See also
*
Stress
Stress may refer to:
Science and medicine
* Stress (biology), an organism's response to a stressor such as an environmental condition
* Stress (linguistics), relative emphasis or prominence given to a syllable in a word, or to a word in a phrase ...
References
{{DEFAULTSORT:Displacement Field (Mechanics)
Continuum mechanics
Materials science
Vector physical quantities