Stress Concentrations Around a Circular Inclusion or Hole in an Infinite Fluid-Saturated Poroelastic Plate for a Wide Range of Poisson's Ratio

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Three 2-D stress concentration problems are treated for a fluid-saturated, poroelastic, infinite plate with a rigid circular inclusion, a permeable or an impermeable circular hole, subjected to a step-like, uniform, uniaxial tension at infinity, with account of a full range of drained Poisson's ratio. Those are analytically solved in the Laplace space and numerically inverted into the time domain. The numerical results and various limiting solutions are discussed. It is found that the stress concentration is in general alleviated by the existence of pore fluid for the three problems and that a discontinuity in the pore fluid pressure and tangential stress takes place immediately after loading at the hole periphery. It is also found that the mechanical response in the case of (the lower limit of drained Poisson's ratio) is counter-intuitive and shows another discontinuity for infinite time elapsing.
日本学術会議「機械工学委員会・土木工学・建築学委員会合同IUTAM分科会」の論文