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antiplane shear : ウィキペディア英語版
antiplane shear
Antiplane shear or antiplane strain〔W. S. Slaughter, 2002, ''The Linearized Theory of Elasticity'', Birkhauser〕 is a special state of strain in a body. This state of strain is achieved when the displacements in the body are zero in the plane of interest but nonzero in the direction perpendicular to the plane. For small strains, the strain tensor under antiplane shear can be written as
: \boldsymbol = \begin
0 & 0 & \epsilon_ \\
0 & 0 & \epsilon_\\
\epsilon_ & \epsilon_ & 0\end
where the 12\, plane is the plane of interest and the 3\, direction is perpendicular to that plane.
== Displacements ==
The displacement field that leads to a state of antiplane shear is (in rectangular Cartesian coordinates)
:
u_1 = u_2 = 0 ~;~~ u_3 = \hat_3(x_1, x_2)

where u_i,~ i=1,2,3 are the displacements in the x_1, x_2, x_3\, directions.

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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