Ternopil Ivan Puluj National Technical University

Каф. будівельної механіки

Fracture Mechanics


1. Educational programs for which discipline is mandatory:

# Educational stage Broad field Major Educational program Course(s) Semester(s)
1 bachelor's 19. Архітектура та будівництво 192. Будівництво та цивільна інженерія (бакалавр) 4 7-8

2. The course is offered as elective for all levels of higher education and all educational programs.

3. Information about the author of the course

Full name Volodymyr Iasnii
Academic degree PhD
Academic title Assoc. Prof.
Link to the teacher`s page on the official website of the department
Е-mail (in the domain

4. Information about the course

Study hours structure Lectures: 32
Practical classes: 0
Laboratory classes: 16

Amount of hours for individual work: 72
ECTS credits: 4
Teaching language english
Form of final examination credit
Link to an electronic course on the e-learning platform of the university

5. Program of discipline

Description of academic discipline, its goals, subject of study and learning outcomes

Fracture mechanics is the field of mechanics concerned with the study of the propagation of cracks in materials. It uses methods of analytical solid mechanics to calculate the driving force on a crack and those of experimental solid mechanics to characterize the material's resistance to fracture. In modern materials science, FM is an important tool used to improve the performance of mechanical components.

Contents of the academic discipline

Lectures (titles/topics)

Topic 1. Introduction to FM.
Review of tension test and torsion. Method of handling combined stresses, principal stresses. Definition of failure, yield criteria, buckling as a failure mode. Need for fatigue test and focus on what data being collected.
Topic 2. Stress-Strain Diagrams, Material Properties.
Tension test and stress-strain diagram, Internal properties and Hooke’s law, 0.2% offset yield stress and strain hardening, Poisson’s ratio.
Topic 3. Spectacular Failures.
Further details on Fatigue test, review on conventional design methodologies. List of spectacular failures. Common applications of fracture prevention.
Topic 4. Linear elastic fracture mechanics and elastic-plastic fracture mechanics.
Contributions of Inglis, Griffith and Irwin. Extremum cases of an elliptical hole, Various results of fracture in glass, Classification of LEFM and EPFM - based on plastic deformation, materials and applications. Modes of Loading - Mode-I, Mode-II and Mode-III.
Topic 5. Importance of Fracture Mechanics.
Test for fracture mechanics, Crack-growth curves, Residual strength diagram, Summary of fracture parameters. Practical examples of fracture.
Topic 6. Fatigue Crack Growth Model.
Crack growth and fracture mechanisms. Shear-lip in necking. Fatigue crack growth model. Striations and Beachmarks.
Topic 7. Crack Growth and Fracture Mechanisms.
Clarifications on fatigue crack growth model. Stress corrosion cracking (SCC) - Active path dissolution, Hydrogen embrittlement, Film induced cleavage. Creep, Corrosion fatigue, Liquid metal embrittlement.
Topic 8. Elastic Strain Energy.
Surface energy, Elastic strain energy stored in terms of stress components, in terms of axial, torsion and bending loads for slender members. Strain energy change in the presence of a crack under constant loading and constant displacement.

Laboratory classes (topics)

1.Method of handling combined stresses
2. Stress-Strain Diagrams, Material Properties
3. Fatigue test, review on conventional design methodologies
4. Extremum cases of an elliptical hole
5. Crack-growth curves
6. Crack growth and fracture mechanisms
7. Fatigue crack growth model
8. Elastic strain energy approaches
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