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sisvu:academicYear 2006 (xsd:int)
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sisvu:description Analiza naprezanja, jednadžbe ravnoteže. Transformacija naprezanja i stanje naprezanja u točki. Pomaci i deformacije, analiza deformacija.Uvjeti kompatibilnosti, transformacija deformacija. Konstitutivne jednadžbe, poopćeni Hookeov zakon, konstante elastičnosti izotropnog i anizotropnog tijela. Jednadžbe ravnoteže izražene pomoću pomaka (Lameove jednadžbe), uvjeti kompatibilnosti izraženi pomoću naprezanja (Beltrami-Michellove jednadžbe). Pravila indeksnog zapisivanja jednadžbi, tenzorski i matrični zapis. Definicija rubnih uvjeta i rješavanje osnovnih problema teorije elastičnosti, jedinstvenost rješenja. Ravninski problemi teorije elastičnosti, stanje ravninskog naprezanja, stanje ravninske deformacije, Airyjeva funkcija naprezanja, biharmonijske funkcije. Ravninski problemi u polarnim koordinatama. Funkcije naprezanja u kompleksnom izražavanju. Jednadžbe teorije elastičnosti u cilindričnim i sfernim koordinatama, osnosimetrična tijela. Energetski pristup u teoriji elastičnosti. Opći pristup problemima teorije elastičnosti. Pregled jednadžbi teorije elastičnosti. (hr)
sisvu:description Stress analysis. Stress transformation and stress state at the point. Displacements and deformations, strain analysis. Conditions of compatibility, transformation of deformations Constitutive equations, generalized Hook law, constants of elasticity of isotropic and anisotropic body. Equilibrium equations stated by the displacements (Lame equations), compatibility conditions stated by stresses (Beltrami-Michell equations). Index notation of equations, tensor and matrix notation. Definition of boundary restrictions and solving the basic problems of the theory of elasticity, uniform solutions. Plane problems of the theory of elasticity, state of plane stress, state of plane strain, Airy stress function, biharmonic functions. Plane problems in polar coordinates. Stress functions in complex form. Equations of theory of elasticity in cylindrical and spherical coordinates, axisymmetric bodies. Energy consideration in the theory of elasticity. General approach to the problems of the theory of elasticity. Review of the equations of the theory of elasticity (en)
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