Course detail

Mechanics of Composite Materials

FSI-RMOAcad. year: 2024/2025

Introduction, basic terminology. Mechanical properties of the most used fibres and matrix materials. Stiffness of unidirectional fibre composites (lamina) in longitudinal and transversal direction. Critical and minimum fibre volume fraction. Short fibre composites, theory of load transport. Transport and critical fibre length. Siffness and strength. Orthotropic behaviour as a result of the fibre composite structure. Hooke's law of the anisotropic, orthotropic and transversal orthotropic material in principal material directions. Hooke's law for 2-D fibre composite (lamina) in arbitrary direction, strength conditions. Constitutive relations of the laminated thin wall and thin plate. Construction of stiffness matrix, strength analysis. Application to the thin-wall pressure vessel.

Language of instruction

Czech

Number of ECTS credits

4

Mode of study

Not applicable.

Guarantor

Ing. Zdeněk Majer, Ph.D.

Department

Institute of Solid Mechanics, Mechatronics and Biomechanics (ÚMTMB)

Entry knowledge

Knowledge of basic terms of theory of elasticity (stress, principal stress, deformation, strain, general Hooke's law), membrane theory of shells. Fundamentals of FEM and basic handling of ANSYS system.

Rules for evaluation and completion of the course

The credit conferment is based on the successful defence of the final project, dealing with computational modelling of mechanical behaviour of a defined structure made of composite material using FEM program ANSYS. The exam consists of a written review test and of an oral interview.
Attendance at practical training is obligatory. In a justified case an absence from the seminar can be compensated by individual projects controlled by the tutor.

Aims

The objective of the course is to make students familiar with basic knowledge of mechanical behaviour of composite materials, especially of fibre composites. Elastic and strength characteristics of the composite are determined from the known mechanical properties of components and from their geometrical structure. Students get acquainted with methods used in evaluation of stresses, strains and safety factor of typical structures made of composite materials.
Students will have a clear idea of the directional behaviour of composite material and of methods used in stress-strain analysis and strength control of selected structures made of composite materials.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Agarwal,B.D., Broutman,L.J.: Vláknové kompozity, SNTL, Praha, 1987
Jones,R.M.: Mechanics of composite materials. Hemisphere Publishing Corporation, New York, 1975
Krishan K. Chawla: Composite materials. Science and Engineering. Springer-Verlag, New York, Berlin, Heidelberg, 1998

Recommended reading

Not applicable.

Elearning

eLearning: currently opened course

Classification of course in study plans

  • Programme N-IMB-P Master's

    specialization IME , 1 year of study, winter semester, compulsory
    specialization BIO , 1 year of study, winter semester, compulsory

  • Programme C-AKR-P Lifelong learning

    specialization CZS , 1 year of study, winter semester, elective

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

doc. Ing. Jan Zouhar, Ph.D.
doc. Ing. Jaroslav Juračka, Ph.D.

Syllabus

1. Introduction. Fibres, matrix.
2. Manufacture and component form.
3. Basic characteristics of composites. Micromechanics.
4. Macromechanic. Clasical theory of laminates
5. Capability. Failure criteria.
6. Stability.
7. Sandwich structure.
8. Mechanical property, testing.
9. Properties of composite system.
10. Joining of composite structure.
11. Quality assurance.
12. Airworthiness considerations.
13. Structure Application. Tests.

Computer-assisted exercise

26 hod., compulsory

Teacher / Lecturer

Ing. Zdeněk Majer, Ph.D.
doc. Ing. Jan Zouhar, Ph.D.
doc. Ing. Jaroslav Juračka, Ph.D.

Syllabus

FEM simulation of tensile test of fibre composite specimen in longitudinal direction-verification of analytical equations.
FEM simulation of tensile test of composite specimen in transversal direction-verification of analytical equations.
FEM simulation of shear test of fibre composite specimen-verification of analytical equations.
FEM simulation of longitudinal, tranversal and shear test of fibre composite specimen with exploiting homogenization.
FEM computation of stress concentration factor in composite materials.
Practical demonstration of production and testing of composite materials.
Evaluation of final projects, credit.

E-learning texts

Vrbka, J.; Mechanika kompozitů; ÚMTMB, FSI, VUT v Brně; 2014
FSI-UMT-ucebni text-Mechanika kompozitů-121217.pdf 4.03 MB

Elearning

eLearning: currently opened course