Geodesic
Evolution of the wave pattern for piecewise linear uniaxial tension and compression of a heteromodulus elastic bar
Sibirskij žurnal industrialʹnoj matematiki, Tome 25 (2022) no. 4, pp. 54-70

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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.
Keywords: heteromodular elasticity, piecewise-linear boundary condition, collision of strong discontinuities
Mots-clés : tension and compression of bar, exact solution on graph. . 
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     author = {O. V. Dudko and A. A. Lapteva and V. E. Ragozina},
     title = {Evolution of the wave pattern for piecewise linear uniaxial tension and compression of a heteromodulus elastic bar},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {54--70},
     publisher = {mathdoc},
     volume = {25},
     number = {4},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2022_25_4_a4/}
}
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O. V. Dudko; A. A. Lapteva; V. E. Ragozina. Evolution of the wave pattern for piecewise linear uniaxial tension and compression of a heteromodulus elastic bar. Sibirskij žurnal industrialʹnoj matematiki, Tome 25 (2022) no. 4, pp. 54-70. http://geodesic.mathdoc.fr/item/SJIM_2022_25_4_a4/