The Numerical Analysis of Tensions on the Inclined Contact Surface at Stretching of Discrete-Heterogeneous Solid

The problem of linear coupling for tensions on a contact surface for the discrete-heterogeneous solid is formulated. In the case of a plane contact surface this problem is solved by numerical and analytic methods. On this basis the numerical analysis of tensions on an inclined contact surface in connection from two various parts on durability at flat deformation is carried out.

Keywords

flat deformation, heterogeneous connection, problem of interface for tensions

References

1. Dilman V.L., Eroshkina T.V. Mathematical Model of Stress the State of the Plastic Layer in Plane Strain. Vestnik Yuzhno-Ural'skogo gosudarstvennogo universiteta. Seriya "Matematika, fizika, himiya", 2005, vol. 6, no. 6(46), pp. 19-23. (in Russian)
2. Dilman V.L. Mathematical Models of the Stress State Inhomogeneous Thin Cylindrical Shells. Chelyabinsk, Izdatel'stvo Yuzhno-Ural'skogo gosudarstvennogo universiteta, 2007. 202 p. (in Russian)
3. Dilman V.L. Research of the Mathematical Models of the Stress Condition of the Thin-Walled Heterogeneous Cylindrical Shells Based on Analytical Methods. Bulletin of South Ural State University. Seria "Mathematical Modelling, Programming & Computer Software", 2009, issue 3, no. 17(150), pp. 36-58.(in Russian)
4. Dilman V.L. Stress and Strength of the Inhomogeneous Plastic Strip with a Defect in a Stronger Part. Izvestiya RAN. MTT, 2010, no. 2, pp. 89-102. (in Russian)
5. Dilman V.L. On Some Mathematical Models of Stress State of Plastic Medium in Axisymmetric Strain. Vestnik Yuzhno-Ural'skogo gosudarstvennogo universiteta. Seriya "Matematika, fizika, himiya", 2005, vol. 5, no. 2 (42), pp. 20-25. (in Russian)
6. Dilman V.L., Ostsemin A.A., Eroshkina T.V. Mechanical Strength of Heterogeneous Connections Rebar. Russian Engineering Research, 2008, no. 9, pp. 13-17. (in Russian)
7. Eroshkina T.V., Dilman V.L. Mathematical Modeling of the Stress State of a Transverse Plastic Layer in a Round Rod. Russian Mathematics, 2011, vol. 55, no. 11, pp. 9-17. (in Russian)
8. Dilman V.L., Eroshkina T.V. Research of Mathematical Models of the Stress Condition of a Non-Homogeneous Cross Layer in a Round Rod. Bulletin of South Ural State University. Series " Mathematical Modelling, Programming & Computer Software", 2009, issue 4, no. 37 (170), pp. 65-77. (in Russian)
9. Dilman V.L., Nosacheva A.I. Features of the Stress State of the Inhomogeneous Strip with Oblique Contact Boundary. Differencial'nie uravneniya i ih prilozheniya: Trudi vserossijskoj nauchnoj konferencii s mezhdunarodnim uchastiem (27-30 iunya 2011 g., g. Sterlitamak) [Differential equations and their applications. Proceedings of the Scientific Conference with international participation (27-30 June 2011, Sterlitamak)]. Ufa, Gilem, 2011. pp. 303-305. (in Russian)