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FSI-S1KAcad. year: 2024/2025
The course deals with the following topics: Introduction, basic terminology, bodies, motions, configurations. Foundation of the theory of finite strains. General equation of balance. Cauchy's I. and II. law of continuum mechanics. Geometrical equations, compatibility conditions, boundary conditions. Thermodynamic background of the theory of constitutive relations. Models of elastic behaviour. Hyperelastic materials. Isotropic elasticity and thermoelasticity. Anisotropic elasticity. Classical formulation of an elastic problem using differential approach. Deformation theory and incremental theory of plasticity. Variational principles in the infinitesimal strain theory. Weak solution. Axisymmetric problems. Plane strain/plane stress. Solution of two-dimensional elasticity problems. Airy's stress function. Foundation of the theory of plates and shells. Fundamentals of linear fracture mechanics. Remarks on Ritz method and FEM in continuum mechanics problems.
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