On the basis of solutions of the plane problems of the elasticity theory for a quasiorthotropic body with curvilinear hole, we propose an analytic-numerical algorithm for the determination of the optimal shape of the hole (with minimum stress concentration) under the conditions of biaxial tension of the plate. The direct problems of the theory of elasticity for quasiorthotropic plates with smooth holes are solved by the method of singular integral equations. The solution of inverse problems with unknown shapes of the holes is reduced to the minimization of a multiparameter functional of standard deviations of the tensile stresses along the contours of the holes from their specified values. We determine the optimal shapes of the holes in quasiorthotropic plates for different tensile stresses applied at infinity in the directions of the orthotropy axes.
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Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 57, No. 2, pp. 24–31, March–April, 2021.
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Savruk, M.P., Kravets, V.S. & Chornenkyi, A.B. Optimization of the Shapes of Holes in a Quasiorthotropic Plate under Biaxial Tension. Mater Sci 57, 163–172 (2021). https://doi.org/10.1007/s11003-021-00527-0
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DOI: https://doi.org/10.1007/s11003-021-00527-0