This article is cited in 1 paper

Bending of elastic plates with a physically nonlinear inclusion

I. Yu. Tsvelodub

Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090

Abstract: An infinite elastic isotropic plate with an elliptical, physically nonlinear inclusion loaded at infinity by uniformly distributed moments is considered. Surface loads are absent. The problem of the stress-strain state of the plate is solved in a closed form. It is shown that, for reasonably general stress-strain relations for the inclusion, the bending-moment field (and the corresponding curvatures) in the inclusion is homogeneous.

Keywords: pure bending of an infinite plate, elliptical, physically nonlinear inclusion, homogeneous moment field.

UDC: 539.3

Received: 05.12.2005

 English version: DOI: 10.1007/s10808-006-0130-0

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