On loss of stability of a strip with two parallel macro-cracks under finite precritical deformation |
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| Authors: | A Turan S D Akbarov |
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| Institution: | 1.Yildiz Technical University Department of Mathematical Engineering, Faculty of Chemistry and Metallurgy,Topkapi,Turkey;2.Yildiz Technical University, Faculty of Mechanical Engineering, Department of Mechanical Engineering,Besitas,Turkey;3.Institute of Mathematics and Mechanics of the National Academy of Sciences of Azerbaijan,Baku,Azerbaijan |
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| Abstract: | Loss of stability of a simply supported strip with two parallel cracks is analyzed within the framework of the three-dimensional
linearized theory of stability of deformable bodies with finite precritical strains. The corresponding eigenvalue problem
is solved by the finite-element method. It is supposed that the strip material is isotropic, homogeneous, compressible, and
hyperelastic, and its elasticity relations are expressed in terms of a harmonic potential. Numerical critical values of the
elongation of the strip obtained for different values of problem parameters are presented |
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