Learn the fundamental principles of the modeling of non isotropic materials. Apply these principles to proper modeling multi-directional fiber composite as well as particulate composite materials based on properties of composite constituents. Examine basic issues associated with the design of these composite materials for various applications. Learn methods of computer modeling of composite structures in FEM based software.

1. Students can determine the elastic constants and strength of different types of composites, for given constituent properties, volume fraction and distribution of reinforcement. 2. Students are capable to make different types of micromechanical models of porous (optional) and non porous composites based on properties of composite constituents. 3. Students can, using FEM, numerically model different types of composites for various applications based on individual properties of the reinforcement and the matrix. 4. Students have developed a basic understanding of load transfer between matrix and reinforcement.

1. Introduction to micromechanics of composite materials - Volume and mass fractions, distribution of reinforcement, density and void content. 2. Evaluation of composite elastic moduli: Representative volume element (RVE) - elementary mechanics of material models. 3. Numerical models for various distribution of reinforcement – 2D and 3D (SC distribution and FCC distribution), Semi-empirical models. 4. Various micromechanics models for elastic moduli: Longitudinal Young modulus. Transverse Young modulus. In plane shear modulus. Poissons ratio. 5. Micromechanics models for strength: Strength of unidirectional composites. Longitudinal strength, fiber and matrix failure mode. Transverse strength. In plane shear strength. 6. Analysis of particulate reinforced composites: Influence of volume fraction, distribution and shape of particles on elastic constants and strength. Porous and nonporous matrix.

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Taken exams: Strength of materials, The base of strenght of constructions, Basics of composite materials mechanics or Composite materials mechanics.

The whole course material is well covered by hand-outs written by the lecturers of the course. Every attendee of the course will be provided his/hers own copy of the hand-outs. Apart of this, all the below mentioned books can be borrowed from the lecturers during the course or ordered on some relevant websites. Moreover, significant number of scientific papers covering listed topics are available.

Total assigned hours: 65

New material: 45
Elaboration and examples (recapitulation): 5

Auditory exercises: 0
Laboratory exercises: 0
Calculation tasks: 0
Seminar paper: 0
Project: 0
Consultations: 0
Discussion/workshop: 0
Research study work: 0

Review and grading of calculation tasks: 0
Review and grading of lab reports: 5
Review and grading of seminar papers: 5
Review and grading of the project: 0
Test: 0
Test: 0
Final exam: 5

Activity during lectures: 5
Test/test: 40
Laboratory practice: 0
Calculation tasks: 5
Seminar paper: 20
Project: 0
Final exam: 30
Requirement for taking the exam (required number of points): 50

"Mechanics of composite materials", Autar K. Kaw, CRC Press, 2005.; "Mechanics and analysis of composite materials", Valery Vasiliev, Evgeny Morozov, Elsevier Science, 2001.; "Mechanics of composite materials", Robert M. Jones, CRC Press, 2018.; "Principles of composite materials mechanics", Ronald F. Gibson, CRC Press, 2007.; -