Splitting of a strip consisting of two identical orthotropic half-strips with isotropy axes symmetrically inclined to the interface

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Abstract

An exact analytical solution is obtained for the two-dimensional problem of a strip composed by two half-strips of equal thickness from the same linearly elastic orthotropic material with the main axes of the elasticity tensor symmetrically inclined to the interface and a central semi-infinite crack running along the interface. A self-balanced system of loads is assumed to be applied sufficiently far from the crack tip. For four independent active loading modes, expressions for stress intensity factors are found in the form of combinations of elementary functions or single integrals of combinations of elementary functions depending on three independent parameters.

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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

N. L. Borisova

Federal State Educational Institution of Higher Education “Prince Alexander Nevsky Military University” of the Ministry of Defense of the Russian Federation

Email: nbolo@yandex.ru
Russian Federation, Moscow

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2. Fig. 1. Configuration and system of applied loads.

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3. Fig. 2. Dependence of the function Y1 on  for  = /3; solid lines are = 1, dashed lines are  = 4, dotted lines are = 1/4.

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4. Fig. 3. Dependence of the function Y1 on : (a) for  = 2, (b) for  = 5, (c) for  = 0.7; solid lines -  = 1, dashed lines -  = 4, dashed lines -  = 8, dotted lines -  = 1/4.

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5. Fig. 4. Dependence of the function Y2 on  for  = /3; solid lines -  = 1, dashed lines -  = 4, dotted lines -  = 1/4.

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6. Fig. 5. Dependence of Y2 function on : (a) for  = 2, (b) for  = 5, (c) for  = 0.7; solid lines -  = 1, dashed lines -  = 4, dashed-dotted lines -  = 8, dotted lines -  = 1/4.

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