Fracture Mechanics [grd1ml]

Programme
Civil Engineering
Study type
Doctoral Studies
Teachers
Course status
optional
ECTS
8.5
Required courses
# active classes - per week
Lectures
Exercises
Other
Personal research activity
4
0
0
2
Teaching methods

PPT, Seminars, Homeworks

Grading scheme - max. 100 points
Colocviums
Semestral work
Oral exam
Written exam
Other
0
40
0
40
20
Aim

Objective of the course of Fracture Mechanics is to introduce a new way of structure failure analysis. Besides the ultimate stress analysis and theory of plasticity, there are structures that are sensitive to crack initiation and propagation. Fracture Mechanics takes into consideration this type of structures.

Outcome

Students who completed the course of Fracture Mechanics will be familiar with basic principles of initiation and propagation of cracks in structures. Also they will be able to design structures resistive to the crack propagation.

Contents

Introduction. Why Fracture Mechanics is necessary? Basic criterions for design of structures. The most fameos failure of structures in the period 1800-1940 and after 1940. Development of Fracture Mechanics. Westergard`s  solution of crack in the plane. Definition of brittle and plastic material. Mott`s effect. Elastic crack tip solution. Modes of deformation: Mode I, II and III. Griffith`s criterion. Damage of materials, averaged Elastic modulus. R curve, ASTM Compact tension specimen E 399-72 (USA standards). Stability of the crack propagation (examples). Cracks in elastic materials. Dugdale-Barenblat model; J-integral meaning and derivation. Application of J-integral. Momentum tensor Pij; Crack opening displacement; Dynamic crack propagation; Fatigue of materials. Examples of design of structures with the application of Fracture Mechanics.

Literature

1. Драгослав Шумарац, Душан Крајчлиновић:Basic principles of Fracture Mechanics (In Serbian), Naucna knjiga, Beograd 1990.                                                          

2. Sumarac, D. and Krajcinovic, D.: "A Self-consistent Model for Microcrack-weakened Solids", Mechanics of Materials,  6,  pp. 39-52, 1987.

3. Krajcinovic, D. and Sumarac, D.: "A Mesomechanical Model for Brittle Deformation Processes", Part I,  Journal  of  Applied Mechanics, 56, pp. 51-56, 1989.

4. Sumarac,D.and Krajcinovic, D.: "A Mesomechanical Model for Brittle Deformation Processes", Part II, Journal  of  Applied Mechanics, 56, pp. 57-62, 1989. 

5. Sumarac, D. and Krajcinovic, D.: "A Simple Solution of  the Crack Reinforced by Bonds", Engineering  Fracture  Mechanics, Vol. 33, 6, pp. 949, 1989.

6. M.F.Kanninen, C.H. Popelar: Advanced Fracture Mechanics, Oxford University Press, 1985. 

! Optimized for Firefox, Chrome and IE 9+           LuAn-011