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Lecturer(s)
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Jurča Marek, Ing. Ph.D.
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Vilčáková Jarmila, prof. Ing. Ph.D.
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Course content
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1. Longitudinal stiffness and strength of unidirectional composites (Hooke's law, mixing rule of moduluses and stresses, mixing rule - a generalized form, dependence of stress on deformation of composites with linear and nonlinear matrix, dependence of moduluses in axial and transversal direction on the content of fillers. 2. Longitudinal strength of unidirectional composites, composite rupture, critical proportion of filler essential to strengthen the composite, resulting strength as a function of fiber fraction. 3. Transversal stiffness and strength of unidirectional composites, total material elongation, mixing rule - a generalized form for transversal moduluses of composites, Halpin-Tsai model of the modulus in transeversal direction, transverse tensile, compressive, shear strength. 4. Temperature expansion (longitudinal and transversal temperature coeficient of expansion) and transport properties (thermal and electrical conductivities of composites in longitudinal and transversal directions. 5. Analysis of orthotropic layers of composites, elastic symmetry, element - isotropous, orthotropic, anisotropic, Hooke's law of layer unidirectional (tension, compression), stress in the body point and stress tensor components for 2D and 3D. 6. Hooke's law of 2D orthotropic layer, HZ reduction from 3D to 2D, stiffness and compliance matrix, reduced stiffness matrix, relationship between stiffness matrix elements and material constants (E1 - modulus of elasticity in fiber direction, E2 - modulus of elasticity in perpendicular direction, G12 - shear modulus of elasticity in the lamina plane, Poisson ratio). 7. Hooke's law of layer subjected to angle, generalization of HZ in tensor state (Einstein matrix symbolism), transformation of stress and strain tensor components, transformation matrix. 8. Laminates - lamination, laminate dimensioning, elastic properties, principles of layer order selection, factors affecting tensile strength of laminates, thermal stress. 9. Constitutive equations, elastic properties of laminates (stiffness matrix calculation, bonding matrix, laminate flexural stiffness matrix). 10. Short-fiber composites - theory of stress transfer, critical fiber length, fiber tension. 11. Short-fiber composites - modulus of elasticity and strength. 12. Basic principles of composite materials. Division of composites. 13. Technology of production of composite materials - pultrusion, laminating, wrapping, centrifugal casting, winding, die casting, RIM technology, pressing, transfer molding. 14. Excursion (practical demonstration of production of polymer composites within the excursion at selected companies).
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Learning activities and teaching methods
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Lecturing, Dialogic (Discussion, conversation, brainstorming), Demonstration, Projection (static, dynamic), Practice exercises
- Preparation for examination
- 120 hours per semester
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| prerequisite |
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| Knowledge |
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| Knowledge of macromolecular chemistry, dimensioning and design of products, physics of solid materials. |
| Knowledge of macromolecular chemistry, dimensioning and design of products, physics of solid materials. |
| learning outcomes |
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| analyse data from material databases |
| analyse data from material databases |
| define the micromechanics of composites |
| define the micromechanics of composites |
| define the macro mechanics of composites |
| define the macro mechanics of composites |
| describe the percolation theory |
| describe the percolation theory |
| analyse the properties of short-fibre composites |
| analyse the properties of short-fibre composites |
| Skills |
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| retrieve data from material databases |
| retrieve data from material databases |
| calculate the properties of short-fibre composites |
| calculate the properties of short-fibre composites |
| estimate the percolation threshold |
| estimate the percolation threshold |
| build a transformation matrix |
| build a transformation matrix |
| measure fatigue damage of composite structures |
| measure fatigue damage of composite structures |
| teaching methods |
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| Knowledge |
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| Lecturing |
| Demonstration |
| Demonstration |
| Projection (static, dynamic) |
| Lecturing |
| Projection (static, dynamic) |
| Skills |
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| Practice exercises |
| Practice exercises |
| Dialogic (Discussion, conversation, brainstorming) |
| Dialogic (Discussion, conversation, brainstorming) |
| assessment methods |
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| Knowledge |
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| Grade (Using a grade system) |
| Grade (Using a grade system) |
| Analysis of works made by the student (Technical products) |
| Oral examination |
| Oral examination |
| Analysis of works made by the student (Technical products) |
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Recommended literature
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Aneli, J.N. Khananasvili and Zaikov, G.E. Structuring and conductivity of polymer composites. Nova Science Publishers, Inc. 1998.
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Autar K.Kaw. Mechanisc of composites materials. Taylor and Francis, 2006.
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Michael F.Ashby. Materials selection in mechanical design. ISBN 978-0-08-100599-6.
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Pulickel M. Ajayan, Linda S. Schadler, Paul V. Braun. Nanocomposite Science and technology. Wiley-VCH Verlag GMbH and Co. KGaA, Weinhein, 2003.
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