Finite amplitude spherically symmetric wave propagation in a prestressed hyperelastic shell

✍ Scribed by J.B. Haddow; L. Jiang

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 392 KB
• Volume: 36
• Category: Article
• ISSN: 0020-7683
• DOI: 10.1016/s0020-7683(98)00118-8

✦ Synopsis

Spherically symmetric _nite amplitude wave propagation in a prestressed compressible hyperelastic spheri! cal shell is considered[ The prestress results from quasi!static application of internal pressure and a numerical solution for this elastostatic problem is obtained _rst[ Dynamic change of the internal pressure results in the propagation of a spherically symmetric wave[ A Godunov type _nite di}erence scheme is proposed for the solution of the wave propagation problem and numerical results\ which are valid until the _rst re~ection\ are presented for a particular isotropic strain energy function and for the special cases of sudden removal and sudden increase of the internal pressure[ Þ 0888 Elsevier Science Ltd[ All rights reserved