ON THE ORIENTATION OF BUCKLING DIRECTION OF ANISOTROPIC ELASTIC PLATE UNDER UNIAXIAL COMPRESSION |
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Authors: | Zhang Yitong |
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Institution: | (1) Department of Mechanics, Tianjin University, 300072 Tianjin, China |
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Abstract: | The theory of small deformation superimposed on a large deformation of an elastic solid is used to investigate the buckling
of anisotropic elastic plate under uniaxial compression. The buckling direction (the direction of buckling wave) is generally
not aligned with the compression direction. The equation for determining the buckling direction is obtained. It is found that
the out-of-plane buckling of anisotropic elastic plate is possible and both buckling conditions for flexural and extensional
modes are presented.
As a specific case of buckling of anisotropic elastic plate, the buckling of an orthotropic elastic plate subjected to a compression
in a direction that forms an arbitrary angle with an elastic principal axis of the materials is analyzed. It is found that
the buckling direction depends on the angle between the compression direction and the principal axis of the materials, the
critical compressive force and plate-thickness parameters. In the case that the compression direction is aligned with the
principal axis of the materials, the buckling direction will be aligned with the compression one irrespective of critical
compressive force and plate-thickness.
Project supported by the National Natural Science Foundation of China (No. 19772032). |
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Keywords: | buckling buckling direction anisotropic elastic plate |
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