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Duarte, Armando Dhankhar, Amit Kumar 2016-07-07T21:18:08Z 2016-07-07T21:18:08Z 2018-07-08T09:15:29Z 2016-04-28 2016-05 Generalized Finite Element Method (GFEM) is a Partition of Unity Method where shape functions are constructed by the product of standard finite element shape function and some additional shape functions. These additional shape functions take the benefit of some prior knowledge of the solution. They are especially useful in fracture mechanics problems where crack singularities are addressed. A crack can be represented with the help of discontinuous and singular shape functions. This gives a great flexibility to the user in a choice of an appropriate mesh. Stress intensity factor is an important quantity in fracture mechanics which is used to predict the stress state around a crack front. This report presents a comprehensive study of stress intensity factor extraction techniques: The Contour Integral Method (CIM), the Cut-off Function Method (CFM) and the Displacement Correlation Method (DCM). A few techniques are also shown to improve Displacement Correlation Method with the use of additional sampling points. Submission published under a 24 month embargo labeled 'Closed Access', the embargo will last until 2018-05-01 The student, Amit Kumar Dhankhar, accepted the attached license on 2016-04-26 at 22:10. The student, Amit Kumar Dhankhar, submitted this Thesis for approval on 2016-04-26 at 22:20. This Thesis was approved for publication on 2016-04-28 at 09:07. DSpace SAF Submission Ingestion Package generated from Vireo submission #9536 on 2016-07-07 at 14:18:07 Made available in DSpace on 2016-07-07T21:18:08Z (GMT). No. of bitstreams: 2 DHANKHAR-THESIS-2016.pdf: 7148295 bytes, checksum: a0e016df9ef345d5a4322910df32a270 (MD5) LICENSE.txt: 4216 bytes, checksum: b50dd402df436de69f00f40f547f7c07 (MD5) Previous issue date: 2016-04-28 Embargo set by: Seth Robbins for item 93323 Lift date: 2018-07-07T21:18:16Z Reason: Author requested closed access (OA after 2yrs) in Vireo ETD system Limited Restriction Lifted for Item 93323 on 2018-07-08T09:15:29Z. application/pdf http://hdl.handle.net/2142/90968 en Copyright 2016 Amit Kumar Dhankhar Generalized Finite Element Method (GFEM) Extraction Cut-off Function Method (CFM) Contour Integral Method (CIM) Stress Intensity Factors (SIF) Enrichment space Displacement Correlation Method (DCM) A comparative study of stress intensity factor extraction techniques for the generalized finite element method text text Civil & Environmental Eng Civil Engineering University of Illinois at Urbana-Champaign Thesis M.S.