Horii, H.; Nemat-Nasser, S. Elastic fields of interacting inhomogeneities. (English) Zbl 0573.73015 Int. J. Solids Struct. 21, 731-745 (1985). A rather general technique - called the ”method of pseudotractions” - is presented for the calculation of the stress and strain fields in a linearly elastic homogeneous solid which contains any number of defects of arbitrary shape. The method is introduced and illustrated in terms of the problems of elastic solids containing two or several circular holes and solids containing two or several cracks, including the cases of rows of holes or cracks. It is shown that the solution of these and similar problems can be obtained to any desired degree of accuracy. Furthermore, if only estimates are needed, then the method is capable of yielding closed-form analytic expressions for many interesting cases, e.g. the stress intensity factors at the crack tips. [See also: the authors, J. Geophys. Res. 90, 3150-3125 (1985).] Cited in 1 ReviewCited in 29 Documents MSC: 74E05 Inhomogeneity in solid mechanics 74R05 Brittle damage Keywords:reduced to systems of integral equations; solution of infinitely extended solid with one inhomogeneity; discretized pseudotractions; system of algebraic equations; powers of ratio of size of inhomogeneities to spacing; higher order terms neglected; boundary value problem formulated in terms of complex potentials of Muskhelishvili; method of pseudotractions; stress and strain fields; linearly elastic homogeneous solid; any number of defects of arbitrary shape; two or several circular holes; two or several cracks; rows of holes or cracks; any desired degree of accuracy; estimates; closed-form analytic expressions; stress intensity factors at the crack tips PDFBibTeX XMLCite \textit{H. Horii} and \textit{S. Nemat-Nasser}, Int. J. Solids Struct. 21, 731--745 (1985; Zbl 0573.73015) Full Text: DOI