PLANE PROBLEM FOR AN ORTHOTROPIC PLATE IN THE FORM OF AN ANNULAR SECTOR,
FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO
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Two problems of plane-elasticity theory, concerning an orthotropic plate in the form of an annular sector bounded by two concentric circles and two radii are discussed a when boundary conditions on all sector edges are given in stresses b when stresses are given on circular edges, and tangential stresses and normal displacements on straight edges. Expressions for determining stresses and displacements are derived for the general case by introducing a stress function. The analysis of problem a for symmetrical loading of the edge, is reduced to solution of infinite systems of linear algebraic equations with free terms having an upper bound. For problem b, expressions for determining the stress functions are derived without using infinite systems of algebraic equations. The Fourier method is applied to both solutions.
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