Course objectives are for the students to understand the basic principles of fracture mechanics theory. Introducing students to the application of fracture mechanics in the analysis of various engineering problems. Introducing students with analytical and experimental methods for the determination of fracture mechanics parameters. Analysis of damage and fracture mechanics using finite element method. The potential co-operation with experts in the field of materials science, which provides the ability to work in specialized laboratories.

By attending this course students will master the basic principles in the field of fracture mechanics. Theoretical considerations and computational examples enable student to master all the necessary principles and standards in the field of fracture toughness tests of materials. Students master the methods of theoretical analysis and correlation of elsatoplаstic fracture mechanics, microstructural investigations and constitutive expression of continuum mechanics, in order to avoid fracture in metallic materials and their compounds. Introducing students to the existing modern standards and recommendations in the given field, using experimental tests.

Basic assumptions of elastic-plastic fracture mechanics of materials. Main subject of investigation in fracture mechanics. Classification of fractures. Fracture mechanics parameters of engineering materials. Stress field at the crack tip. Analysis of the brittle fracture problem. Stress intensity factor. Fracture toughness- critical value for stress intensity factor.Crack tip opening. J - contour integral. J integral as a parameter for stress and deformation fields. Nonlinear energy release rate. The connection between the J integral and CTOD. The zone of final stretch. Local access to metallic materials fracture. Local approach in the analysis of crack formation and ductile fracture. Analytical determination of stress intensity factors. Analytical determination of the crack opening and the J integral . REI model. King's model. Experimental determination of fracture mechanics parameters. Numerical determination of fracture mechanics parameters. Finite element fracture analysis.

Application of fracture mechanics standards. The application of the J integral on crack growth analysis. Empirical formula for the CTOD. EFAM ETM97. EPRI engineering procedures. Experimental determination of fracture mechanics parameters. Determination of fracture toughness. Determination of the critical crack tip opening. Experimental determination of J integral - standard procedure. Measuring the strength of the final zone. Experimental methods for determining the microstructural properties of metallic materials. Numerical methods for determining fracture mechanics parameters. Recommendations of the European Association for Structural Integrity (ESIS).

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1] Written lessons from lectures (handouts)

Total assigned hours: 65

New material: 25
Elaboration and examples (recapitulation): 25

Auditory exercises: 0
Laboratory exercises: 0
Calculation tasks: 0
Seminar paper: 0
Project: 0
Consultations: 0
Discussion/workshop: 0
Research study work: 0

Review and grading of calculation tasks: 0
Review and grading of lab reports: 0
Review and grading of seminar papers: 5
Review and grading of the project: 0
Test: 0
Test: 5
Final exam: 5

Activity during lectures: 10
Test/test: 20
Laboratory practice: 20
Calculation tasks: 0
Seminar paper: 20
Project: 0
Final exam: 30
Requirement for taking the exam (required number of points): 40

T.L. Anderson, Fracture Mechanics: Fundamentals and Applications 3rd ed. CRC Press, London, 2005.; Jin Z. H., Sun C.T., Fracture Mechanics, Academic Press, 2011.; G. Pluvinage, Fracture and Fatigue Emanating from Stress Concentrators, Springer, Dordrecht, 2004.; J. N. Reddy, An Introduction to the Finite Element Method (Engineering Series), 2005.; Roger T. Fenner, Finite Element Methods for Engineers, 1997.