Course detail

Selected Chapters of Structural Mechanics 2 (K)

FAST-CD055Acad. year: 2018/2019

Textile reinforced concrete, fiber concrete, ECC and composites characterized by a synergetic combination of short fiber reinforcement with aligned (structured) reinforcement in a brittle matrix. Consideration of the natural heterogeneity and randomness of composites. Modeling of the mechanical response of composites to tensile test. Modeling of the mechanical response of multifilament yarns under tension. Statistical characterization of the sources of randomness in yarns. Probabilistic distribution of strength of yarns and composites.

Language of instruction

Czech

Number of ECTS credits

5

Mode of study

Not applicable.

Department

Institute of Structural Mechanics (STM)

Learning outcomes of the course unit

The result is a practical knowledge about models and theories utilizable for inelastic deformation and subsequent failure of materials of structures, particularly quasi-brittle silica-based composites. Student will be able to perform nonlinear structural analysis of reinforced concrete structure using appropriate special software including evaluation of failure progress and its consequences.

Prerequisites

fundamentals of the structure mechanics and the theory of elasticity and plasticity, fundamentals of the finite element method, infinitesimal calculus, matrix algebra, fundamentals of numerical mathematics, nonlinear mechanics

Co-requisites

fundamentals of the structure mechanics and the theory of elasticity and plasticity, fundamentals of the finite element method, infinitesimal calculus, matrix algebra, fundamentals of numerical mathematics, nonlinear mechanics

Planned learning activities and teaching methods

Lectures using slides accompanied by discussions and derivations on black board. Next, work on projects by using advanced software on PC.

Assesment methods and criteria linked to learning outcomes

The conditions for getting the credits are: (i) sufficient attendance, (ii) individual project on computer and, (iii) active work in practical lessons. Finally, a written exam focused on theory must be at least 50 % correct.

Course curriculum

1. Introduction to fiber reinforced composites. Application sphere, comparison with steel-reinforced concrete and other traditional materials. Characterization of the main features influencing the mechanical response. Insight into the mechanisms of energy dissipation and mechanisms of stress redistristribution during progressive failure. Connections to fracture mechanics.
2.Characterization of various fiber types and materials for fiber production (such as steel, glass, carbon, aramid, polyester etc.). Characterization of yarn type, yarn production and yarn testing.
3. Classical model of yarn based on the FEM. Model of the mechanical response based on sorting algorithms.
4. Probabilistic model of the yarn response. Definition , explanation of the paradigm, revision of the main ingredients and basic transformations of the model.
5.Study of the influence of basic sources of heterogeneity and randomness on random yarn response. Comparison of all the studied models.
6. Distribution of strength of multifilament yarns. Daniels’ theorem. Transition of the strength tail to the distribution core. Recursive formulas. Asymptotic strength.
7.Extension to the strength of composites with chained crack bridges. Theory of extreme values and the associated weakest-link model.
8.Advances questions in the theory of composites, revision.

Work placements

Not applicable.

Aims

Textile reinforced concrete, fiber concrete, ECC and composites characterized by a synergetic combination of short fiber reinforcement with aligned (structured) reinforcement in a brittle matrix. Consideration of the natural heterogeneity and randomness of composites. Modeling of the mechanical response of composites to tensile test. Modeling of the mechanical response of multifilament yarns under tension. Statistical characterization of the sources of randomness in yarns. Probabilistic distribution of strength of yarns and composites.

Specification of controlled education, way of implementation and compensation for absences

Extent and forms are specified by guarantor’s regulation updated for every academic year.

Recommended optional programme components

cooperatino on projects lead by teachers

Prerequisites and corequisites

Not applicable.

Basic literature

Not applicable.

Recommended reading

Not applicable.

Classification of course in study plans

  • Programme N-K-C-SI Master's

    branch K , 2 year of study, winter semester, compulsory-optional

  • Programme N-P-C-SI Master's

    branch K , 2 year of study, winter semester, compulsory-optional

  • Programme N-P-E-SI Master's

    branch K , 2 year of study, winter semester, compulsory-optional

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

Syllabus

1. Introduction to fiber reinforced composites. Application sphere, comparison with steel-reinforced concrete and other traditional materials. Characterization of the main features influencing the mechanical response. Insight into the mechanisms of energy dissipation and mechanisms of stress redistristribution during progressive failure. Connections to fracture mechanics.
2.Characterization of various fiber types and materials for fiber production (such as steel, glass, carbon, aramid, polyester etc.). Characterization of yarn type, yarn production and yarn testing.
3. Classical model of yarn based on the FEM. Model of the mechanical response based on sorting algorithms.
4. Probabilistic model of the yarn response. Definition , explanation of the paradigm, revision of the main ingredients and basic transformations of the model.
5.Study of the influence of basic sources of heterogeneity and randomness on random yarn response. Comparison of all the studied models.
6. Distribution of strength of multifilament yarns. Daniels’ theorem. Transition of the strength tail to the distribution core. Recursive formulas. Asymptotic strength.
7.Extension to the strength of composites with chained crack bridges. Theory of extreme values and the associated weakest-link model.
8.Advances questions in the theory of composites, revision.

Exercise

13 hod., compulsory

Teacher / Lecturer

Syllabus

1. Submission of individual problems to be solved on computer.
2. - 7. Work on the tasks with the help of the teacher.
8. Presentation of the results, credits.