Evolution of the wave pattern for piecewise linear uniaxial tension and compression of a heteromodulus elastic bar

The process of changing the wave pattern in the problem of non-stationary deformation of a heteromodulus elastic bar under uniaxial piecewise linear tension and following 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.