T-stress in an orthotropic strip with a central semi-infinite crack loaded far from the crack tip

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Abstract

Based on an exact analytical solution to the two-dimensional problem of a strip of orthotropic material with the main axes of the elasticity tensor directed parallel and perpendicular to its boundaries and a central semi-infinite crack, expressions for T-stresses are obtained. A balanced load system in the form of four independent active loading modes is assumed to be applied sufficiently far from the crack tip. It is shown that for two (antisemimetric) loading modes the T-stresses are equal to zero, and for the other two (symmetric) they are determined by one or two parameters composed of components of the elasticity tensor. The dependences of T-stresses for symmetric loading modes are obtained in the form of double integrals from combinations of elementary functions depending on one of the dimensionless parameters; the second of the dimensionless parameters is included in the expression for T-stresses of only one of the modes in the form of a multiplicative coefficient.

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About the authors

K. B. Ustinov

A. Yu. Ishlinsky Institute for problem in Mechanics RAS

Author for correspondence.
Email: ustinov@ipmnet.ru
Russian Federation, Moscow

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