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Stress–Strain Analysis of Elastic Bodies on the Basis of a Heterogeneous Mathematical Model |
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| Authors: | Ya M Grigorenko Ya G Savula O S Kossak |
| Institution: | (1) S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev;(2) I. Franko National University, L'vov, Ukraine;(3) Center for Mathematical Simulation, Ya. S. Podstrigach Institute for Applied Problems of Mathematics and Mechanics, National Academy of Sciences of Ukraine, L'vov, Ukraine |
| Abstract: | A heterogeneous mathematical model is formulated. It permits us to use simultaneously the equations of the theories of elasticity and Timoshenko-type shells to describe different fragments of a structure. This model can be written as a closed system of differential equations of different dimensions with boundary conditions on the domain boundary and conjugate conditions on the surfaces where fragments are mated. A variational problem is formulated. The existence and uniqueness of the solution are analyzed. Numerical results demonstrate the efficiency of the approach |
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