Structures of longitudinal-torsional shock waves and special discontinuities in nonlinearly viscoelastic media with dispersion

被引：0
|
作者：
A. P. Chugainova
A. G. Kulikovskii
机构：
[1] Russian Academy of Sciences,Steklov Mathematical Institute
来源：
Continuum Mechanics and Thermodynamics | 2023年 / 35卷 / 4期
关键词：
Shock wave; Nonclassical discontinuity; Traveling wave;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Weakly nonlinear longitudinal-torsional waves in rods are considered. The structure of discontinuities in the solutions of the hyperbolic system of equations describing these waves is studied. Previously, the authors studied discontinuity structures under more special assumptions about dissipative processes in these structures. In the present study, no constraints are imposed on the matrix of dissipative coefficients except for positive definiteness. Conditions are formulated for the existence of special discontinuities, that is, discontinuities with additional boundary conditions that are independent of conservation laws.
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页码：1655 / 1669
页数：14
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