Computation of Singular Solutions in Elliptic Problems and Elasticity

The stress field in composite elastic media often contains singularities, in particular at the intersections of interfaces with boundaries. These yield ``infinite'' values of the stress, leading in practice to damage. This book describes two new methods of computing the eigenvalues and eigenvectors of singularities leading directly to economical computing procedures. The necessary results from the singularity theory are explained and illustrated through numerous worked examples. Also provides several important applications in engineering, such as boundary layers in composite plates and slightly perturbed corners.


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