Deformation and Damage Processes (FSI-RPC)

Academic year 2018/2019
Supervisor: doc. Ing. Zdeněk Florian, CSc.  
Supervising institute: ÚMTMB all courses guaranted by this institute
Teaching language: Czech
Aims of the course unit:
Revision of construction of metal materials. Causes of metal material deformation and degradation processes. The theories of plasticity and their formulation in tensor recontouring.
Learning outcomes and competences:
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).
Course contents:
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
Teaching methods and criteria:
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.
Controlled participation in lessons:
Attendance at practical training is obligatory. An apologized absence can be compensed by individual projects controlled by the tutor.
Type of course unit:
    Lecture  13 × 2 hrs. optionally                  
    Exercise  13 × 1 hrs. compulsory                  
Course curriculum:
    Lecture 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 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.
Literature - fundamental:
1. Plánička F. Kuliš Z. Základy teorie plasticity
2. Chandrasekharaiah D.S. Lokenath Debnath Continuum Mechanics. Academic Press, San Diego 1994.
3. Gurtin ME. An Introduction to Continuum Mechanics. Academic Press, San Diego 1981
4. Holzapfel GA. Nonlinear Solid Mechanics. A Continuum Approach for Engineers. Wiley, Chichester 2000
The study programmes with the given course:
Programme Study form Branch Spec. Final classification   Course-unit credits     Obligation     Level     Year     Semester  
M2A-P full-time study M-IMB Engineering Mechanics and Biomechanics -- Cr,Ex 5 Compulsory-optional 2 1 S