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Investigation of dynamic stress state of microporous media in the framework of the Cosserat pseudo-continuum. (Ukrainian, English) Zbl 1438.74006

In this paper, in the framework of the Cosserat pseudo-continuum, an analytical-numerical method for studying the dynamic stressed state of an unbounded laminar element with a hole is discussed. The method is based on the application of the Fourier time transform and the method of boundary integral equations. On the basis of the proposed method, the concentration of dynamic circumferential and radial stresses in biomaterials near the holes of circular and elliptic shapes are studied.

MSC:

74A10 Stress
74A60 Micromechanical theories
74S99 Numerical and other methods in solid mechanics
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
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