{"id":{"repo_id":"southwales","oai_identifier":"oai:pure.atira.dk:studenttheses/887406f9-6b9c-4150-b9de-b8177c519710"},"canonical_url":"https://search.dev.ndltd.org/etd/southwales/oai:pure.atira.dk:studenttheses/887406f9-6b9c-4150-b9de-b8177c519710","repository":{"repo_id":"southwales","name":"University of South Wales","base_url":"https://pure.southwales.ac.uk/ws/oai"},"display":{"title":"The Appliaction of the Finite Element Method to Fracture Mechanics Problems","abstract":"A new finite element which adequately represents the character of<br/>the strains near the crack-tip is presented. The element is based on displacement functions, derived from, assumed simple strain functions, by integrating the strain - displacement equations. The resulting displacement functions contain terms associated with the rigid body modes.<br/><br/>The element is 'trapezoidal' in shape with two straight and two circular boundaries. A 'triangular' crack-tip element based on assumed simple displacement functions is also presented. This element has two of its boundaries straight, meeting at the tip of the crack, and the other circular.<br/><br/>When employed in the singular region of the crack-tip, using as few as 312 degrees of freedom, these elements give results for displacements and stresses whose accuracies are within l«57o and ~y/o , respectively, of 'exact' solutions. The elements are combined with Constant Strain Triangular elements to analyse practical geometries used in fracture toughness testing*<br/>Relatively coarse meshes are sufficient to obtain accurate estimates of stress intensity factors by a direct displacement method not requiring an extrapolation process.","abstract_html":"A new finite element which adequately represents the character of&lt;br/&gt;the strains near the crack-tip is presented. The element is based on displacement functions, derived from, assumed simple strain functions, by integrating the strain - displacement equations. The resulting displacement functions contain terms associated with the rigid body modes.&lt;br/&gt;&lt;br/&gt;The element is &#x27;trapezoidal&#x27; in shape with two straight and two circular boundaries. A &#x27;triangular&#x27; crack-tip element based on assumed simple displacement functions is also presented. This element has two of its boundaries straight, meeting at the tip of the crack, and the other circular.&lt;br/&gt;&lt;br/&gt;When employed in the singular region of the crack-tip, using as few as 312 degrees of freedom, these elements give results for displacements and stresses whose accuracies are within l«57o and ~y/o , respectively, of &#x27;exact&#x27; solutions. The elements are combined with Constant Strain Triangular elements to analyse practical geometries used in fracture toughness testing*&lt;br/&gt;Relatively coarse meshes are sufficient to obtain accurate estimates of stress intensity factors by a direct displacement method not requiring an extrapolation process.","abstract_has_math":false,"creators":["Sabir, Bahir"],"institution":"Polytechnic of Wales","degree_name":"Doctoral Thesis","degree_level":"Student thesis","degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1980,"date_issued":"1980-1","date_published":"1980-1","updated_at":"2026-07-24T04:39:05Z","subjects":[],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["oai:pure.atira.dk:studenttheses/887406f9-6b9c-4150-b9de-b8177c519710"],"render_values":[{"text":"oai:pure.atira.dk:studenttheses/887406f9-6b9c-4150-b9de-b8177c519710","href":null,"code":true}]}]},"links":{"outbound_url":"https://pure.southwales.ac.uk/en/studentTheses/887406f9-6b9c-4150-b9de-b8177c519710","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Sabir, Bahir"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["1980-1"]},{"key":"dc:date.issued","label":"Date","values":["1980-1"]},{"key":"dc:publisher.institution","label":"Dc Publisher Institution","values":["Polytechnic of Wales"]},{"key":"dc:relation.isreferencedby","label":"Dc Relation Isreferencedby","values":["https://pure.southwales.ac.uk/en/studentTheses/887406f9-6b9c-4150-b9de-b8177c519710"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]},{"key":"dc:type.qualificationlevel","label":"Dc Type Qualificationlevel","values":["Student thesis"]},{"key":"dc:type.qualificationname","label":"Dc Type Qualificationname","values":["Doctoral Thesis"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["oai:pure.atira.dk:studenttheses/887406f9-6b9c-4150-b9de-b8177c519710","https://pure.southwales.ac.uk/en/studentTheses/887406f9-6b9c-4150-b9de-b8177c519710"]},{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://pure.southwales.ac.uk/files/2641713/B._B._Sabir_1980_2059467.pdf"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["A new finite element which adequately represents the character of<br/>the strains near the crack-tip is presented. The element is based on displacement functions, derived from, assumed simple strain functions, by integrating the strain - displacement equations. The resulting displacement functions contain terms associated with the rigid body modes.<br/><br/>The element is 'trapezoidal' in shape with two straight and two circular boundaries. A 'triangular' crack-tip element based on assumed simple displacement functions is also presented. This element has two of its boundaries straight, meeting at the tip of the crack, and the other circular.<br/><br/>When employed in the singular region of the crack-tip, using as few as 312 degrees of freedom, these elements give results for displacements and stresses whose accuracies are within l«57o and ~y/o , respectively, of 'exact' solutions. The elements are combined with Constant Strain Triangular elements to analyse practical geometries used in fracture toughness testing*<br/>Relatively coarse meshes are sufficient to obtain accurate estimates of stress intensity factors by a direct displacement method not requiring an extrapolation process."]},{"key":"dc:title","label":"Title","values":["The Appliaction of the Finite Element Method to Fracture Mechanics Problems"]}]}],"canonical_facts":{"dc:creator":["Sabir, Bahir"],"dc:date":["1980-1"],"dc:date.issued":["1980-1"],"dc:description.abstract":["A new finite element which adequately represents the character of<br/>the strains near the crack-tip is presented. The element is based on displacement functions, derived from, assumed simple strain functions, by integrating the strain - displacement equations. The resulting displacement functions contain terms associated with the rigid body modes.<br/><br/>The element is 'trapezoidal' in shape with two straight and two circular boundaries. A 'triangular' crack-tip element based on assumed simple displacement functions is also presented. This element has two of its boundaries straight, meeting at the tip of the crack, and the other circular.<br/><br/>When employed in the singular region of the crack-tip, using as few as 312 degrees of freedom, these elements give results for displacements and stresses whose accuracies are within l«57o and ~y/o , respectively, of 'exact' solutions. The elements are combined with Constant Strain Triangular elements to analyse practical geometries used in fracture toughness testing*<br/>Relatively coarse meshes are sufficient to obtain accurate estimates of stress intensity factors by a direct displacement method not requiring an extrapolation process."],"dc:identifier":["oai:pure.atira.dk:studenttheses/887406f9-6b9c-4150-b9de-b8177c519710","https://pure.southwales.ac.uk/en/studentTheses/887406f9-6b9c-4150-b9de-b8177c519710"],"dc:identifier.uri":["https://pure.southwales.ac.uk/files/2641713/B._B._Sabir_1980_2059467.pdf"],"dc:language":["eng"],"dc:publisher.institution":["Polytechnic of Wales"],"dc:relation.isreferencedby":["https://pure.southwales.ac.uk/en/studentTheses/887406f9-6b9c-4150-b9de-b8177c519710"],"dc:title":["The Appliaction of the Finite Element Method to Fracture Mechanics Problems"],"dc:type":["Thesis"],"dc:type.qualificationlevel":["Student thesis"],"dc:type.qualificationname":["Doctoral Thesis"]},"updated_at":"2026-07-24T04:39:05Z"}