Integrable Structure in the Theory of Stress Concentration in Shear-Strained Nonlinear Elastic Materials

摘要

It is shown that the Neuber equations governing the stress and deformation in a shear-strained prismatical nonlinear elastic body may be completely characterized in terms of eigenfunctions of the integrable mNVN hierarchy. A B?cklund transformation and nonlinear superposition principle are derived, whereby privileged constitutive laws may be generated iteratively.