The Elastodynamic Solution for a Solid Sphere and Dynamic Stress-Focusing Phenomenon

Wang Xi

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Article Navigation > Applied Mathematics and Mechanics > 1993 > 14(8): 739-746

Wang Xi. The Elastodynamic Solution for a Solid Sphere and Dynamic Stress-Focusing Phenomenon[J]. Applied Mathematics and Mechanics, 1993, 14(8): 739-746.

Citation:

Wang Xi. The Elastodynamic Solution for a Solid Sphere and Dynamic Stress-Focusing Phenomenon[J]. Applied Mathematics and Mechanics, 1993, 14(8): 739-746.

Citation:

Wang Xi. The Elastodynamic Solution for a Solid Sphere and Dynamic Stress-Focusing Phenomenon[J]. Applied Mathematics and Mechanics, 1993, 14(8): 739-746.

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The Elastodynamic Solution for a Solid Sphere and Dynamic Stress-Focusing Phenomenon

Wang Xi

Department of Applied Mechanics, East China Institute of Technology, Nanjing

Received Date: 1992-02-10
Publish Date: 1993-08-15

Abstract

Abstract

This paper presents an analytical method of solving the elastodynamic problem of a solid sphere.The basic solution of the elastodynamic problem is decomposed into a quasi-static solution satisfying the inhomogeneous compound boundary conditions and a dynamic solution satisfying the homogeneous compound boundary conditions.By utilizing the variable transform,the dynamic equation may be transformed into Bassel equation.By defining a finite Hankel transform,we can easily obtain the dynamic solution for the inhomogeneous dynamic equation.Thereby,the exact elastodynamic solution for a solid sphere can be obtained.From results carried out,we have observed that there exists the dynamic stress-focusing phenomenon at the center of a solid sphere under shock load and it results in very high dynamic stress-peak.
- solid sphere,
- elastodynamics,
- dynamic stress-focusing

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References(5)

References

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