Numerical solution of three-dimensional static problems of elasticity for a body with a noncanonical inclusion |
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Authors: | V V Mikhas’kiv B M Stasyuk |
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Institution: | (1) Ya. S. Podstrigach Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine, Lviv;(2) Lvivska Politekhnika National University, Lviv, Ukraine |
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Abstract: | A boundary-element scheme is proposed for the numerical determination of the stress-strain state of a three-dimensional composite
body, which is an elastic inclusion of arbitrary shape perfectly bonded to an infinite elastic matrix. The scheme involves
the reduction of the original problem to six boundary integral equations for the components of interfacial displacements and
forces and the boundary-element parametrization and discretization of these equations using generalized Gaussian integrals
and topological maps with regularizing Jacobians. Numerical results are obtained for a cylindrical inclusion with rounded
ends in a matrix subject at infinity to constant forces acting along this fiber. The influence of the length-to-radius ratio
of the fiber and the ratio of the elastic moduli of the matrix and fiber on the stresses is examined
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Translated from Prikladnaya Mekhanika, Vol. 43, No. 4, pp. 27–35, April 2007. |
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Keywords: | infinite elastic matrix three-dimensional elastic inclusion boundary-element method |
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