1972•Journal of Applied MechanicsRequires access

Elastoplastic Bending of Rectangular Plates With Large Deflection

T. H. Lin, Shuyuan Lin, Bernard Mazelsky

Open publisher page 11 citations

Abstract

An analytical method for predicting the elastoplastic bending of rectangular plates with large deflection is studied. The effects of plastic strain and large deflection on plate deformation are shown to be the same as a set of applied external forces on the plate in the classical elastic small deflection theory. The calculated deflection for purely elastic plates compares well with previous existing solutions. For the plates considered, the deflection is increased only slightly by plastic strain; however, the maximum extreme fiber stress is considerably relieved by plastic yielding.

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What this paper is about

An analytical method for predicting the elastoplastic bending of rectangular plates with large deflection is studied. The effects of plastic strain and large deflection on plate deformation are shown to be the same as a set of applied external forces on the plate in the classical elastic small deflection theory. The calculated deflection for purely elastic plates compares well with previous existing solutions. For the plates considered, the deflection is increased only slightly by plastic strain; however, the maximum extreme fiber stress is considerably relieved by plastic yielding.

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Available abstract

An analytical method for predicting the elastoplastic bending of rectangular plates with large deflection is studied. The effects of plastic strain and large deflection on plate deformation are shown to be the same as a set of applied external forces on the plate in the classical elastic small deflection theory. The calculated deflection for purely elastic plates compares well with previous existing solutions. For the plates considered, the deflection is increased only slightly by plastic strain; however, the maximum extreme fiber stress is considerably relieved by plastic yielding.

Key concepts: Deflection (physics), Bending of plates, Materials science, Structural engineering, Plate theory, Composite material, Bending, Finite element method

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