Effect of a Concentrated Normal Force on the Surface of an Orthotropic Half Space |
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Authors: | Yu M Kobzar' |
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Institution: | (1) Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev |
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Abstract: | An analytic solution is given for the stressed-deformed state of an orthotropic half space acted on by a normal concentrated force applied to its boundary. It is shown that the traditional choice of a general representation of the displacements in a gradient form, where the potential functions are in the form of double Fourier integrals with unknown densities, reduces the problem to solving two systems of linear algebraic equations – homogeneous and inhomogeneous. A solution obtained by taking a limiting transition is given for the case of an isotropic half space. |
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