Abstract
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 applicable to non-rectangular plane regions.
Original language | English |
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Pages (from-to) | 355-367 |
Number of pages | 13 |
Journal | Quarterly of Applied Mathematics |
Volume | 58 |
Issue number | 2 |
Publication status | Published - Jun 2000 |