## Abstract The objective of the research conducted by the authors is to explore the feasibility of determining reliable __in situ__ values of shear modulus as a function of strain. In this paper the meaning of the material stiffness obtained from impact and harmonic excitation tests on a surface s
Formation of singularities in one-dimensional nonlinear wave propagation
β Scribed by Fritz John
- Publisher
- John Wiley and Sons
- Year
- 1974
- Tongue
- English
- Weight
- 923 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0010-3640
No coin nor oath required. For personal study only.
β¦ Synopsis
The waves considered here are solutions of a first-order strictly hyperbolic system of differential equations, written in the form * This work was performed at the Courant Institute and supported by the Office of Naval Research under Contract No. N00014-67-A-0467-0030. Reproduction in whole or in part is permitted for any purpose of the United States Government.
π SIMILAR VOLUMES
## Abstract Under very general assumptions, the authors prove that smooth solutions of quasilinear wave equations with smallβamplitude periodic initial data always develop singularities in the second derivatives in finite time. One consequence of these results is the fact that all solutions of the
In this study the one-dimensional wave propagation in a functionally graded elastic slab is considered. It is assumed that the stiness and density of the medium vary continuously in thickness direction and it is initially at rest and stress-free. The slab is subjected to a pressure pulse on one surf