Asymptotic Analysis of the Nonlinear Boussinesq Problem for a Kind of Incompressible Rubber Material (Compression Case)

A half rubber space compressed by a concentrated force normal to the surface is asymptotically analyzed based on large strain elastic theory. The material domain near the singular point is divided into an expanding domain and a shrinking domain. The asymptotic equations are derived and solved individually for both domains. The solutions to expanding and shrinking domains are further assembled together so that there is only one free parameter left which can indicate the amplitude of the singular stress and strain field. Finally, the amplitude parameter of the field is determined by the given concentrated force. This revised version was published online in July 2006 with corrections to the Cover Date.