Spatial behaviour in plane incompressible elasticity on a half-strip

R. J. Knops, P. Villaggio
2000 Quarterly of Applied Mathematics  
Growth and decay estimates are derived for an incompressible homogeneous isotropic elastic material occupying a plane semi-infinite strip in equilibrium under self-equilibrated loads on the base and zero traction along the lateral sides. The estimates depend upon a pair of differential inequalities for two cross-sectional line integrals related to different kinds of energy fluxes. A comparison with the exact solution shows that the estimates are somewhat conservative. The method, however, is
more » ... hod, however, is applicable to non-rectangular plane regions.
doi:10.1090/qam/1753404 fatcat:gzosekcqwbazhassdqisvehefm