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首页> 外文期刊>Journal of applied and industrial mathematics >Ray approximations for the axisymmetric shock waves of elastic deformation in a cylindrical layer
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Ray approximations for the axisymmetric shock waves of elastic deformation in a cylindrical layer

机译：圆柱层中弹性变形的轴对称冲击波的射线近似

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摘要

By the example of an axisymmetric problem of intense deformation of a cylindrical nonlinear elastic layer under the action of load on its outer boundary, the efficiency is demonstrated of a variant of the ray method developed specifically for the waves with strong discontinuities (shock waves). Several initial stages of the wave process are considered; namely, the movement of the created shock waves toward the inner boundary of the layer, the reflection of the faster wave from the inner boundary, as well as the interaction between the slow shock wave and the reflected shock wave with the formation of a new wave pattern. For each of the deformation stages, the solution is constructed by a modified method of ray series.
机译：通过圆柱非线性弹性层在载荷作用下在其外边界上发生剧烈变形的轴对称问题的示例，证明了专门针对具有强不连续性的波（冲击波）开发的射线方法的一种变体。考虑了波浪过程的几个初始阶段。即，所产生的冲击波向该层的内部边界的运动，更快的波从内部边界的反射以及慢速冲击波与反射冲击波之间的相互作用以及新波的形成模式。对于每个变形阶段，通过改进的射线序列方法构造解。

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