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Applied Strength and Elasticity

Course Code:
18APP
Academic Degree:
doctoral
Study Programme:
Technology in Transportation and Telecommunications (P 3710)
languagestudy field / specialization
czech, english flagD Transportation Systems and Technology - 3708V009
Form of Study:
full-time and part-time
Type of Course:
optional
Course Completion:
exam
v DB je chyba..
Supervising Department:
Department of Mechanics and Materials (16118)
Abstract:
• 3D elasticity equations. Plane strain. Plane stress. Axial symmetry. • Coordinate transformation. Derivation of the equations of 2D elasticity. Airy stress function, principles of solution of 2D elasticity. • Plates. Kirchhoff's theory of thin plates. Mindlin's theory of thick plates. • Plate equation - numerical methods of solution. Solution by the finite difference method. • Shells. Rotationally symmetric shells. Membrane and bending theory of shells. • Nature of failure of materials and failure criteria. • Plasticity - introduction to mathematical theory of finite deformations. Tensor calculus. • Plasticity criteria, notation, incremental theory of plasticity. • Numerical methods of solution. Direct stiffness method. Solution of beam structures. • Numerical methods - overview. Variational principles in mechanics and dynamics. • Finite element method. Principle of the method, principles of spatial and time discretization, convergence of the method. • Types of FEM elements, overview. Stiffness matrix and element mass matrix, derivation. • Non-linear problems and methods of their solution. Principles of iterative methods.