Course detail

Physical Principles of Deformation of Solids

CEITEC VUT-DS104AAcad. year: 2019/2020

Not applicable.

Learning outcomes of the course unit

Not applicable.

Prerequisites

Not applicable.

Co-requisites

Not applicable.

Recommended optional programme components

Not applicable.

Recommended or required reading

Pokluda J., Šandera P.: Micromechanisms of Fracture and Fatigue: In a Multiscale Context, Springer London 2010, 295 s, ISBN: 978 1 84996 265 0
Macur J.: Úvod do analytické mechaniky a mechaniky kontinua, Vutium Brno 2010, 602 s, ISBN: 978 80 214 3944 3
Valvoda V.: Základy krystalografie, SPN Praha 1982, 190 s

Planned learning activities and teaching methods

Not applicable.

Assesment methods and criteria linked to learning outcomes

Not applicable.

Language of instruction

English

Work placements

Not applicable.

Course curriculum

1. Atomic bonds and microstructure of solids. Crystal lattice and its properties in metals and ceramics. Polymers, molecular and supra-molecular structure.
2. Tensors: introduction to tensors, operations with tensors, isotropic tensors, symmetric tensor of second order, quadrics, the principal values and axis of tensor.
3. Properties of second order tensors in terms of matrix theory.
4. Continuum mechanics: stress tensor, strain tensor, the generalized Hooke's law, energy of the elastic body, the emergence of discontinuities.
5. Tensor of elastic coefficients for crystalline substances, the influence of crystal symmetry.
6. Methods for calculating mechanical properties of solids. Semi-empirical models, principles of quantum-mechanical modelling.
7. Vibrations of the crystal lattice. Born - Karman boundary conditions, quasi-particles description: phonons.
8. The theoretical strength. Calculation methods for different kinds of loading, comparing with experimental data.
9. Modelling and simulation of fracture. Principles of multilevel modelling.
10. Examples of modelling of fracture: simulation of the nano-indentation test in metals, quasi-brittle fracture of ultra-high-stress steels, brittle fracture of particle reinforced composites with brittle matrix, quasi-brittle fracture of iron alloys containing phosphorus, fatigue crack closure and effective threshold in metallic materials

Aims

Not applicable.

Classification of course in study plans

  • Programme STIPMN Doctoral

    branch PM , 1. year of study, winter semester, 0 credits, compulsory-optional

  • Programme STIPMNK Doctoral

    branch PM , 1. year of study, winter semester, 0 credits, compulsory-optional

  • Programme STIAMN Doctoral

    branch AM , 1. year of study, winter semester, 0 credits, compulsory-optional

  • Programme STIPMN Doctoral

    branch PNTMT , 1. year of study, winter semester, 0 credits, compulsory-optional

  • Programme STIPMN Doctoral

    branch PNTMT , 1. year of study, winter semester, 0 credits, compulsory-optional

  • Programme STIAMN Doctoral

    branch ANTMT , 1. year of study, winter semester, 0 credits, compulsory-optional

  • Programme STIPMNK Doctoral

    branch PM , 2. year of study, winter semester, 0 credits, compulsory-optional

  • Programme STIPMN Doctoral

    branch PM , 2. year of study, winter semester, 0 credits, compulsory-optional
    branch PNTMT , 2. year of study, winter semester, 0 credits, compulsory-optional

  • Programme STIPMN Doctoral

    branch PNTMT , 2. year of study, winter semester, 0 credits, compulsory-optional

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