Instability of a Transversely Isotropic Elastic Strip under Tension
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概要
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The instability problem stated in the title is analysed on the basis of Biot's mechanics of incremental deformations. The strip, made of a hypothetical transversely isotropic, compressible, elastic material, is assumed to be in the plane-stress state and stronger in the direction of its width than in its axial and thickness directions. The analysis shows that, no matter what the anisotropy strength of the strip is or its width is, it can become unstable under axial tension. The critical load is lower for the stronger anisotropy ; that is, the reinforcement in the transverse or "wrong" direction weakens the strip with respect to its stability. Furthermore, a weakly anisotropic strip can become unstable only after the axial resulatnt force reaches its maximum, while a strongly anisotropic strip can lose its stability before the force reaches its maximum. The whole instability aspect is similar to that of a slab in the plane-strain state.
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