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Stress separation from photoelastic data by a multigrid method

J A Quiroga and A González-Cano

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An application of multigrid techniques for the separation of principal stresses in plane stress systems is presented. By establishing the equilibrium equations and determining the value of shear from photoelastic data a system of partial differential equations is obtained, which can be solved by applying a multigrid method. Multigrid methods are comparable to Fourier methods in efficiency and robustness and can be applied to processing areas of arbitrary shape.


PACS

78.20.Hp Piezo-, elasto-, and acoustooptical effects; photoacoustic effects

02.60.Lj Ordinary and partial differential equations; boundary value problems

02.30.Jr Partial differential equations

46.80.+j Measurement methods and techniques in continuum mechanics of solids

07.10.-h Mechanical instruments and equipment

Subjects

Mathematical physics

Computational physics

Condensed matter: electrical, magnetic and optical

Instrumentation and measurement

Condensed matter: structural, mechanical & thermal

Dates

Issue 8 (August 1998)

Received 30 January 1998, accepted for publication 23 April 1998, in final form 14 April 1998



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