Course detail

Deformation and Damage Processes

FSI-RPCAcad. year: 2019/2020

Basic properties, behaviour and structure of technical materials. Crystal structure, influence of the structure on elastic and plastic strain in metal materials. Defects in crystal structure. Formulation of stress and strain tensors. Basics of tensors. Plasticity condition. Theory of small plastic strain and plastic creep theory

Language of instruction

Czech

Number of ECTS credits

5

Mode of study

Not applicable.

Guarantor

doc. Ing. Zdeněk Florian, CSc.

Department

Institute of Solid Mechanics, Mechatronics and Biomechanics (ÚMTMB)

Learning outcomes of the course unit

Students will master to formulate the state of stress and deformation in tensor recontouring. Background knowledge of tensor counting. Formulation of tensor quantities in subscript expressions. Theory of plasticity, conditions of plasticity

Prerequisites

Knowledge of basic terms of theory of elasticity (stress, principal stress, strain, general Hooke's law). Fundamentals of theory of limit states (criteria of plasticity and brittle strength).

Co-requisites

Not applicable.

Planned learning activities and teaching methods

The course is taught through lectures explaining the basic principles and theory of the discipline. Exercises are focused on practical topics presented in lectures.

Assesment methods and criteria linked to learning outcomes

Active participation in seminars.
High quality elaboration of individual assignments.
Passing the test of basic knowledge.

Course curriculum

Not applicable.

Work placements

Not applicable.

Aims

Revision of construction of metal materials. Causes of metal material deformation and degradation processes. The theories of plasticity and their formulation in tensor recontouring.

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

Attendance at practical training is obligatory. An apologized absence can be compensed by individual projects controlled by the tutor.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Gurtin ME. An Introduction to Continuum Mechanics. Academic Press, San Diego 1981
Holzapfel GA. Nonlinear Solid Mechanics. A Continuum Approach for Engineers. Wiley, Chichester 2000
Chandrasekharaiah D.S. Lokenath Debnath Continuum Mechanics. Academic Press, San Diego 1994.
Plánička F. Kuliš Z. Základy teorie plasticity

Recommended reading

Not applicable.

Classification of course in study plans

  • Programme M2A-P Master's

    branch M-IMB , 1 year of study, summer semester, compulsory-optional

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

doc. Ing. Zdeněk Florian, CSc.

Syllabus

1. Structure metal materials. Causes deformation.
2. Crystal structure of basic technical metals. Mullerovy indexes.
3. Re - enactment state of stress and deformation. Notions, relationships, patterns.
4. Expression state of stress and strain tensor.
5. Orthogonal transformation coordinates.
6. Tensor and tensor calculus.
7. Basic tensor calculus operation.
8. Elasticity of crystal and polycrystalline materials.
9. Conditions of plasticity.
10. Verification conditions of plasticity
11. Theory of small elastic-plastic deformation.
12. Theory of plastic flow.
13. Algorithm of a task dealing with the elasticity and plasticity of material – FEM.


Exercise

13 hod., compulsory

Teacher / Lecturer

doc. Ing. Zdeněk Florian, CSc.

Syllabus

1. Structure metal materials. Causes deformation.
2. Crystal structure of basic technical metals. Mullerovy indexes.
3. Re - enactment state of stress and deformation. Notions, relationships, patterns.
4. Expression state of stress and strain tensor.
5. Orthogonal transformation coordinates.
6. Tensor and tensor calculus.
7. Basic tensor calculus operation.
8. Elasticity of crystal and polycrystalline materials.
9. Conditions of plasticity.
10. Verification conditions of plasticity
11. Theory of small elastic-plastic deformation.
12. Theory of plastic flow.
13. Algorithm of a task dealing with the elasticity and plasticity of material – FEM.