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Displacement field (mechanics) : ウィキペディア英語版
Displacement field (mechanics)

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 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:
:\vec_0: \Omega \rightarrow P
where
:\vec_0 is a placement vector
:\Omega are all the points of the body
:P 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 \vec_1 the displacement field is the difference between two body states:
:\vec = \vec_1 - \vec_0
where
:\vec is a displacement field, which for each point of the body specifies a displacement vector.
==See also==

*Stress

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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