Course detail

Elasticity and Plasticity (2)

FAST-D28Acad. year: 2019/2020

basic equations of theory of elasticity, energy theorems, variational methods, computational models 2D and 3D structures, two-dimensional problems - plane stress and plane strain, axisymmetric problems, theory of the finite element method, analysis of finite element, analysis of structure, bending of plates - Kirchhoff and Mindlin theory, finite elements for 2D problems, theory of shells – membrane and bending state, analysis of elastic-plastic state of structures, limit state of structures, fundamentals of structural dynamics


Institute of Structural Mechanics (STM)

Learning outcomes of the course unit

Not applicable.


Diagrams of internal forces on a beam, the meaning of the quantities: stress, strain and displacement, Hook’s law, equilibrium conditions for a beam, physical and geometrical equations for a beam.


Not applicable.

Recommended optional programme components

Not applicable.

Recommended or required reading

Kolář, V. a kol.: FEM - principy a praxe. Computer Press 1997
Servít, R. a kol.: Pružnost a plasticita II.. SNTL/ALFA Praha 1984
Teplý, B., Šmiřák, S.: Pružnost a plasticita II.. VUT 2000

Planned learning activities and teaching methods

Not applicable.

Assesment methods and criteria linked to learning outcomes

Not applicable.

Language of instruction


Work placements

Not applicable.

Course curriculum

1. Stresses and deformations in a spatial state. Basic equations of theory of elasticity.
2. Energy principles and variational methods in continuum mechanics.
3. Computational models. A plane stress and plane strain state. Axisymetric problems.
4. Principle of finite elements method.
5. Finite element analysis. Analysis of structure.
6. The finite elements for 2D problems.
7. Theory of plates.
8. The special types of plates.
9. Introduction into theory of shells. Membrane and bending state.
10. Static solution of foundation structures. Models of soil.
11. Analysis of elastic-plastic and limit state of structures.
12. Introduction into dynamics of structures.
13. Basic types of dynamics problems.


During the course the student will obtain knowledge about basic quantities and relations of theory of elasticity for solid, beam, plane and plate structures. He will be skilled in the basic laws of mechanics - the principle of the virtual work and the principle of minimum of potential energy - and variational methods - Ritz method and finite elements method. After finishing the course he will be able to apply these methods on mentioned types of structures, to derive finite elements and to use computational programs based on finite elements methods in practise.

Specification of controlled education, way of implementation and compensation for absences

Extent and forms are specified by guarantor’s regulation updated for every academic year.

Type of course unit



26 hours, optionally

Teacher / Lecturer


26 hours, compulsory

Teacher / Lecturer