39 hod., optionally

1.Variational principles in the mechanics of bodies. Lagrangian and Castiglian variational principles, more general variational principles. 2.Finite element method. Continuity on the boundaries, convergence criteria, various kinds of elements. 3.Fundamentals of nonlinear mechanics Strain and stress measures, total Lagrangian and updated Lagrangian methods 4.Numerical solution of nonlinear problems. Newton-Raphson procedure and its modifications, deformation control, arc length. 5.Tangent stiffness matrix. Material stiffness matrix, stress stiffness matrix, influence of nonlinear members of the strain tensor. 6.Evaluation of unbalanced nodal forces Criteria for ending of iterations 7.Linear and nonlinear stability 8.Post critical analysis of structures 9.Analysis of mechanisms, cables, membranes 10.Energetical definition of surface subsoil model 11.Reduction of dimension and area of the structure-soil interaction model 12.Subsoil model introduced by the Czech code, calculation of stress by the theory of elastic half space, structure settlement. 13. Foundation plates on piles