2022
Journal of Applied and Industrial Mathematics, Scopus
Статьи в журналах
Vol. 16, No. 4, pp. 645–658
Dudko, O.V., Lapteva, A.A. & Ragozina, V.E. Evolution of the Wave Pattern for Piecewise Linear Uniaxial Tension and Compression of a Heteromodular Elastic Bar. J. Appl. Ind. Math. 16, 645–658 (2022). https://doi.org/10.1134/S1990478922040068
The process of changing the wave pattern in the problem of nonstationary deformation of a heteromodular elastic bar under uniaxial piecewise linear tension and subsequent compression is described as a connected sequence of local solutions on successive time intervals. All possible variants and results of collisions of primary and secondary strong discontinuities are indicated for a given piecewise linear function of boundary displacements. An efficient algorithm for solving one-dimensional boundary value problems of the dynamics of deformation of a heteromodular elastic medium under a piecewise linear boundary condition is proposed. The algorithm is based on finding a path in a local decision tree.
https://doi.org/10.1134/S1990478922040068