Поздовжній зсув біматеріалу з нелінійно пружним міжфазним тонким включенням
The longitudinal shear problem for the bimaterial with thin nonlinear elastic inclusion at the interfacematrix materials is discussed. Solution of the formulated problem is constructed by applyingthe problem linear conjugation of analytic functions and jump functions method. The model of thininclusi...
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| Date: | 2018 |
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| Main Author: | |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України
2018
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| Subjects: | |
| Online Access: | https://www.fmmit.lviv.ua/index.php/fmmit/article/view/43 |
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| Journal Title: | Physico-mathematical modeling and informational technologies |
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Physico-mathematical modeling and informational technologies| Summary: | The longitudinal shear problem for the bimaterial with thin nonlinear elastic inclusion at the interfacematrix materials is discussed. Solution of the formulated problem is constructed by applyingthe problem linear conjugation of analytic functions and jump functions method. The model of thininclusion with nonlinear elastic characteristics is constructed. The solution of problem is reducedto a system of singular integral equations with variable coefficients. A convergent iterative methodfor solving such a system due to the various law of nonlinear deformation, including Ramberg-Osgood law, is proposed. Incremental calculation method for calculating stress-strain state underthe multistep (including cyclic) loading is developed. Numerical calculations of the body stressstrainstate for different values of the inclusion material nonlinearity parameters are made. Theirinfluence on the mode of deformation of the matrix under the loading by the shift on the infinityand balanced system of concentrated forces is analyzed. |
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