PSI - Issue 23

I.S. Nikitin et al. / Procedia Structural Integrity 23 (2019) 125–130 Author name / StructuralIntegrity Procedia 00 (2019) 000 – 000

130

6

numerical solution of a system of differential equations, an explicit-implicit method is proposed with an explicit approximation of the equations of motion and an implicit approximation of the constitutive relations containing a small parameter in the denominator. Examples of numerical solutions of dynamic problems on the scattering of waves on layered cluster with different orientations in an elastic medium are given.

Acknowledgements

This work was carried out with the financial support of the Russian Science Foundation, project no. 19-71-10060.

References

Burago, N.G., Zhuravlev, A.B., Nikitin, I.S. Continuum model and method of calculating for dynamics of inelastic layered medium (2019) Mathematical Models and Computer Simulations 11(3), pp. 59-74. Golubev, V.I., Gilyazutdinov, R.I., Petrov, I.B., Khokhlov, N.I., Vasyukov, A.V. Simulation of dynamic processes in three-dimensional layered fractured media with the use of the grid-characteristic numerical method(2017) Journal of Applied Mechanics and Technical Physics, 58 (3), pp. 539-545. Golubev, V.I., Voinov, O.Y., Petrov, I.B. Seismic Imaging of Fractured Elastic Media on the Basis of the Grid-Characteristic Method(2018a) Computational Mathematics and Mathematical Physics, 58 (8), pp. 1309-1315. Golubev, V.I.The usage of grid-characteristic method in seismic migration problems(2019) Smart Innovation, Systems and Technologies, 133, pp. 143-155. Golubev, V.I., Golubeva, Yu.A. Full-wave simulation of the earthquake initiaion process(2018b) CEUR Workshop Proceedings, 2267, pp. 346 350. Golubev, V.I., Petrov, I.B., Khokhlov N.I., Shul’ts , K.I. Numerical computation of wave propagation in fractured media by applying the grid characteristic method on hexahedral meshes (2015)Computational Mathematics and Mathematical Physics 55(3), pp. 509-518. Nikitin, I.S. Dynamic models of layered and block media with slip, friction and separation. (2008) Mechanics of Solids 43(4), pp. 652-661. Nikitin, I.S., Burago, N.G., Nikitin, A.D. Continuum Model of the Layered Medium with Slippage and Nonlinear Conditions at the Interlayer Boundaries (2017) Solid State Phenomena, 258, pp. 137-140. Nikitin, I.S., Burago, N.G., Nikitin, A.D. Explicit-Implicit schemes for solving the problems of the dynamics of isotropic and anisotropic elastoviscoplastic media (2019) IOP Conf. Series: Journal of Physics: Conf. Series 1158(3), 032039 Khokhlov, N.I., Golubev, V.I. On the class of compact grid-characteristic schemes(2019) Smart Innovation, Systems and Technologies, 133, pp. 64-77.

Made with FlippingBook - Online Brochure Maker