Mathematical modeling of the stressed state of a viscoelastic half-plane with inclusions
Keywords:viscoelasticity, flat viscoelastic body, complex potentials, method of boundary integral equations, viscoelastic characteristics of regions, resolvent operators
The application of the method of boundary integral equations is considered for studying the stress state of flat viscoelastic bodies with inclusions. The method is based on the use of complex potentials and the apparatus of generalized functions. An analytical solution of the problem is obtained for a half-plane with inclusions of arbitrary shape. For a numerical study of the change in the stress state depending on the time and geometry of the inclusions, a discrete analogue of the system of boundary-time integral equations has been developed.
Pages of the article in the issue: 42 - 45
Language of the article: English
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