Course objectives are that students, after completing basic course in theory of fracture mechanics, and with their maximum involvement in practical training (through laboratory exercises, development of computational tasks, writing seminar papers, etc.), become competent in assessment of safety and integrity of structures. Students learn about possible practical applications of fracture mechanics based on a double-sided interpretation of its parameters, when setting up the fracture mechanics triangle provides an estimation of reliability structures. The practical application of fracture mechanics in order to prevent failure of real structures is analized. The potential co-operation with experts in the field of fracture mechanics is allowed, and through theoretical and practical training the appropriate academic skills are acquired, and they also develop specific creative and practical skills that are needed in professional practice.

By attending this course, provided by the curriculum of the subject, the student will be able to solve particular problems of structural integrity, and to examine the possible consequences that may occur in case of bad solutions. By attending this course students will master the prediction techniques of residual strength of structurs with cracks, fracture toughness testing techniques for metallic materials and welds. Students learn about issues involving analysis and diagnosis of behavior and lost of integrity, life assessment and rehabilitation of structures. It is anticipated to master weak spot prediction techniques in structural design, even before the appearance of cracks, as well as structural assessment when an error is detected using nondestructive testing methods.The student will also able to link their knowledge in this field with other areas and apply them in practice.

Application of fracture mechanics to structural integrity assessment.Initiation of a crack in a weldment. The possibility of using fracture mechanics criteria to assess safety of welded joints. Mechanical structures integrity considering fracture toughness. Damage mechanics and its application to ductile fracture. Estimates in the domain of elasticity and elasto-plasticity. Residual strength assessment of pressure vessels with surface errors using the resistance curves. Crack growth force in relation to the tensile engineering materials curves. Fracture mechanics analysis and allowed defect size curves for surface cracks in pipes. Fatigue surface crack growth in welded joints. Determination of fracture mechanics parametars with thermo mechanical load. J integral as the law of conservation. Direct measurement of the J integral. Local access.

Standard procedures for the fracture mechanics measurement, as material properties. Fracture diagram analysis and its application to welded joints and structures. Application of linear elastic fracture mechanics. Application of the leak principles before fracture design. The application of elastic-plastic fracture mechanics. CTOD design curve. Failure Assessment Diagrams. PD6493 procedures. R6 method. J-integral analysis of crack growth. Structural integrity assessment using acquired knowledge. Directly measuring the J integral - Reed's original work. Examples of modifications - the strength and heterogeneity of material. An example of two-dimensional stress analysis - pressure vessels. Assessment of properties of welded joints using standard cracked specimens. Consultation.

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[1] Written lessons from lectures (handouts) [2] A. Sedmak, Use of the fracture mechanics on the structure integrity assessment (in Serbian), Faculty of Mechanical Engineering, Belgrade, 2003, ISBN: 86-7083-473-1 [3] T.L. Anderson, Fracture Mechanics: Fundamentals and Applications, 3rd ed, CRC Press, London, 2005, ISBN: 0849316561 [4] G Jovicic., Zivkovic M., S Vulović., Computational fracture mechanics and fatigue (in Serbian), Faculty of Mechanical Engineering, Kragujevac, 2011 [5] Markо. P. Rakin, Local access to a ductile fracture of metallic materials (in Serbian). TMF, Belgrade, 2009, ISBN: 978-86-87183-08-7 [6] S. Sedmak, A. Sedmak, Experimental and numerical methods of fracture mechanics in structural integrity assesment (in Serbian), TMF, Belgrade, 2000, COBISS.CG-ID - 3534864 [7] Excerpts from the standard

Total assigned hours: 65

New material: 45
Elaboration and examples (recapitulation): 5

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, ISBN: 0849316561; Jin Z. H., Sun C.T., Fracture Mechanics, Academic Press, 2011, ISBN: 0123850010; G. Pluvinage, Fracture and Fatigue Emanating from Stress Concentrators, Springer, Dordrecht, 2003, ISBN: 1402016093; A. Sedmak, S. Sedmak, LJ. Milović, Pressure equipment inegrity assessment by elastic-plastic fracture mechanics methods, monografija, DIVK, Beograd, 2011, ISBN: 978-86-905595-1-0; Broek D., The Practical Use of Fracture Mechanics, Springer, 1989, ISBN: 90-247-3707-9