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National Repository of Grey Literature

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Problems of the complex potentials of the isotropic elasticity Padělek, Petr ; Druckmüller, Miloslav (referee) ; Profant, Tomáš (advisor) The presented Bachelor Thesis investigates the problem of the complex potentials in the isotropic elasticity. The objective of the work is acquiring the components of the stress tensor and the displacement vector which describe the elasticity of continum. This problem is primarily solved on the mathematical level by means of the Airy stress function and the Muschelishvili´s complex potentials. The thesis is supplemented with the necessary theory of the elasticity and finally the concrete solution of the edge dislocation in the infinite domain is demonstrated and compared with the results acquired by FEM method. Detailed record

Problems of the complex potentials of the isotropic elasticity Padělek, Petr ; Druckmüller, Miloslav (referee) ; Profant, Tomáš (advisor) The presented Bachelor Thesis investigates the problem of the complex potentials in the isotropic elasticity. The objective of the work is acquiring the components of the stress tensor and the displacement vector which describe the elasticity of continum. This problem is primarily solved on the mathematical level by means of the Airy stress function and the Muschelishvili´s complex potentials. The thesis is supplemented with the necessary theory of the elasticity and finally the concrete solution of the edge dislocation in the infinite domain is demonstrated and compared with the results acquired by FEM method. Detailed record

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