Stress Distribution under Uniaxal Elastic Plane Strain Compression with Friction
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概要
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The elastic compression of a block with Coulomb friction on the tool-specimen interface is analysed, where the total stiffness matrix is rearranged according to the condition for nodes on frictional plane in Finite Element Method. As an example, the distribution of stresses in a block, the area of sticking on the contact surface, the distribution of displacement in the block, the pressure distribution and the mean pressure on the contact surface are calculated under plane strain condition. The effects of specimen shape, friction coefficient and Poisson's ratio on the calculated results are studied. The area of sticking on the contact surface increases with a decrease in block height, with an increase in friction coefficient and with a decrease in Poisson's ratio. The thinner the block is, the higher the pressure which is necessary for yielding becomes. Discussions are made on the calculated results as well as on the property of unsymmetric stiffness matrix in the analysis.
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