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An experimental-numerical hybrid technique for three dimensional stress analysis

Chandrashekhara, K and Jacob, Abraham K (1977) An experimental-numerical hybrid technique for three dimensional stress analysis. In: International Journal for Numerical Methods in Engineering, 11 (12). pp. 1845-1863.

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Official URL: http://dx.doi.org/10.1002/nme.1620111208

Abstract

The paper describes a numerical method for determining the stress distribution in the interior of a three-dimensional body using experimentally determined surface stresses, and the interior displacements from surface displacements. The normal and shear stresses inside the body are obtained by solving Laplace's equation in terms of sum of normal stresses together with the three-dimensional compatibility equations in terms of stresses, using the finite difference technique, when the stresses on the surface of the body are known. On the other hand if surface displacements are known (from which strain components could be determined) then displacement components in the interior of a body can be determined by solving Laplace's equation in terms of sum of normal strains together with the three-dimensional equilibrium equations in terms of displacements. It is shown that axi-symmetric problems can also be solved in an identical way by transforming the equations into cylindrical co-ordinates. The application of the method has been illustrated through several examples.

Item Type: Journal Article
Additional Information: The copyright belongs to John Wiley & Sons, Ltd.
Department/Centre: Division of Mechanical Sciences > Civil Engineering
Date Deposited: 27 Jan 2006
Last Modified: 07 Aug 2012 06:08
URI: http://eprints.iisc.ernet.in/id/eprint/5242

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