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Course details
Student Mobility > Programmes and Courses > Courses in English > Course detailsMechanics of Composite Materials
- Teaching: Completely taught in English
- ECTS: 4
- Level: UnderGraduate
- Semester: Summer
- Prerequisites:
- None
- Load:
Lectures Exercises Laboratory exercises Project laboratory Physical education excercises Field exercises Seminar Design exercises Practicum 30 0 0 0 0 0 0 0 - Course objectives:
- Familiarization with basic expressions and methods used in stress analysis of composite structures.
- Student responsibilities:
- Grading and evaluation of student work over the course of instruction and at a final exam:
- 70% written partial exams during the semester; 30% independent work on the student assignment
- Methods of monitoring quality that ensure acquisition of exit competences:
- assessment of the gained knowledge through the partial exams; assessment of the ability of independent work through the student assignment;
- Upon successful completion of the course, students will be able to (learning outcomes):
- Solving of problems related to the definition of the basic mechanical behaviour and failure processes of nonisotropic laminated materials - Application of advanced methods used in the strength analysis and the structural behaviour due to increased temperature and moisture. - Assessment of the available analytical methodology which is used in the field of mechanical analysis of composite structures. - Development of the ability for critical analysis of the mechanical behaviour of composite structures and the correct validation of the results obtained using the analytical methodology
- Lectures
- 1. Mechanical properties of fiber and matrix. Classification of composites. Types of reinforcement. Nomenclature.
- 2. Fundamental equations of micromechanics. Rule of mixtures. Halpin-Tsai equations. Expressions based on theory of elasticity.
- 3. Fundamental equations of macromechanics. Derivation of elasticity tensor symmetry.
- 4. Elasticity matrix of an anisotropic, orthotropic, isotropic, transversaly isotropic material.
- 5. Transformation of mechanics properties at main material axes rotation.
- 6. Constitutive equation of composite materials. Derivation of A,B,D matrices.
- 7. Analysis of symmetric, anti-symmetric and other layering setups.
- 8. Stresses and strains in layered composites.
- 9. Thermal properties of composite phases. Thermal stresses in composites. Influence of manufacturing.
- 10. Failure criteria. Maximum stress criterion. Maximum strain criterion. Tsai-Wu criterion. Tsai-Hill criterion. Special failure criteria - Hashin"s criterion.
- 11. First-ply failure and last-ply failure criteria.
- 12. Damage in composites. Fiber breakage. Matrix cracking. Pull out. Delaminations.
- 13. Joints in composite structures.
- 14. Specifics of finite element analysis of composite structures.
- 15. Examples of composite structures - ships, airplanes, helicopter structural elements
- Exercises
- 1. Relation between elastic constants of an isotropic material; physical meaning and numerical value of Poisson"s ratio.
- 2. Computation of mechanical properties using rule of mixtures.
- 3. Computation of elasticity and stiffness matrix of an isotropic material
- 4. Computation of elasticity and stiffness matrix of an orthotropic and transversaly isotropic material.
- 5. Computation of elasticity and stiffness matrix of an orthotropic and transversaly isotropic material - continuation.
- 6. Computation of altered mechanical properties at rotation of main material axes.
- 7. Computation of A,B,D matrices for symmetric and anti-symmetric layering setup.
- 8. Computation of A,B,D matrices for symmetric and anti-symmetric layering setup - continuation.
- 9. Computation of stress and strain distribution in laminate.
- 10. Computation of stress and strain distribution in laminate - continuation.
- 11. Computation of thermal stresses in laminate due to autoclave manufacturing.
- 12. Computation of thermal stresses in laminate due to autoclave manufacturing - continuation.
- 13. Estimation of laminate failure using maximum stress criterion.
- 14. Estimation of laminate failure using Tsai-Wu criterion and comparison with results by maximum stress criterion.
- 15. Application of first-ply and last-ply failure criteria - a critical review.
- Compulsory literature:
- Jones, R.M.: Mechanics of Composite Materials, Taylor and Francis, 1999.
Hyer, M. W.: Stress Analysis of Fiber Reinforced Composite Materials, McGraw - Hill, Boston, 1998.
Tsai, S. W.: Theory of Composites Design, Think Composites, Dayton, 1993.
Niu, M.C.Y., Composite Airframe Structures, Conmilt Press, 1992.
Middleton, D. H.: Composite Materials in Aircraft Structures, Longman Scientific & Technical, Harlow, 1990. - Recommended literature:
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