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The solution of ordinary differential equations arising from stress transfer mechanics of general symmetric laminates.

Hannaby, S A (1997) The solution of ordinary differential equations arising from stress transfer mechanics of general symmetric laminates. NPL Report. CISE 13/97

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Abstract

Stress transfer for general symmetric multiple-ply laminates has been modelled by a technique whereby each ply, which may be oriented in any direction preserving symmetry about the mid-plane of the laminate, is represented by a series of parallel ply elements. The planes are assumed to be perfectly bonded together and the case has been considered where loading causes transverse cracks to appear in some or all of the plies having a single specified orientation. This model generates a pair of coupled systems of ordinary differential equations with appropriate boundary conditions. One system of differential equations is fourth order and the other is second order. The purpose of this report is to describe a semi-analytic method for solving these differential equations.

Item Type: Report/Guide (NPL Report)
NPL Report No.: CISE 13/97
Subjects: Mathematics and Scientific Computing
Mathematics and Scientific Computing > Modelling
Last Modified: 02 Feb 2018 13:18
URI: http://eprintspublications.npl.co.uk/id/eprint/706

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