Surface Instability of a Half-space under High Two-dimensional Compression

✍ Scribed by J.L. Nowinski

• Publisher: Elsevier Science
• Year: 1969
• Tongue: English
• Weight: 576 KB
• Volume: 288
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(69)90017-9

✦ Synopsis

Surface instability of an isotropic incompressible highly elastic half -infinite medium is considered, generated by uniformly distributed compressive loads parallel to the bounding plane of the medium and acting in two perpendicular directions. Using the theory of Green, Rivlin,andShield of small deformations superposed on a largedeformation,asystem of four governing equations is derived. Solution of the system is sought which provides a state of deformation decaying rapidly with an increasing distance from the surface of the medium. FulJllment of the boundary conditions leads to a characteristic equation for the critical combination of stretches. The results obtained in two limit case8 agree with those given by Biot and Green and Zerna. Graphs display the dependence of the critical stretch A, on the stretch A3, in the perpendicular direction, and the wave number ratio.