{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/109628"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/109628","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"A generalized finite element method for three-dimensional fractures in fiber-reinforced composites","abstract":"Fiber reinforcements are used in a broad variety of materials in engineering. They increase the strength, stiffness, ductility, and resistance to fatigue of the unreinforced material. Computational simulations can reduce the cost of designing these materials, and improve the understanding of their failure mechanisms. However, modeling of damage evolution and the multiscale interactions in composite materials using standard Finite Element Methods (FEMs) face significant barriers in terms of model generation and problem size. This work presents recent advances of the Generalized Finite Element Method (GFEM) for three-dimensional modeling and simulation of crack propagation in fiber-reinforced composites. Fibers are discretely modeled using a modified formulation of the Embedded Reinforcement with bond Slip (mERS) that allows its combination with the GFEM where fractures are represented using enrichment functions instead of meshes fitting the crack surface. Matrix cracks are described using discontinuous and singular functions as in the GFEM for homogeneous materials. This procedure can address some of the limitations of existing FEMs by describing both cracks and fibers independently of the underlying FEM mesh. Examples illustrating the capabilities and robustness of the method are presented. Crack propagation simulations are compared to physical tests showing that the method can successfully reproduce the failure behavior of fiber-reinforced composites. The results show that several failure mechanisms of the composite can be reproduced by the model, including matrix crack propagation, fiber debonding, and failure. In addition a multiscale approach is proposed using the GFEMgl, a framework that allows intercommunication between macro and micro scales of the material.","abstract_html":"Fiber reinforcements are used in a broad variety of materials in engineering. They increase the strength, stiffness, ductility, and resistance to fatigue of the unreinforced material. Computational simulations can reduce the cost of designing these materials, and improve the understanding of their failure mechanisms. However, modeling of damage evolution and the multiscale interactions in composite materials using standard Finite Element Methods (FEMs) face significant barriers in terms of model generation and problem size. This work presents recent advances of the Generalized Finite Element Method (GFEM) for three-dimensional modeling and simulation of crack propagation in fiber-reinforced composites. Fibers are discretely modeled using a modified formulation of the Embedded Reinforcement with bond Slip (mERS) that allows its combination with the GFEM where fractures are represented using enrichment functions instead of meshes fitting the crack surface. Matrix cracks are described using discontinuous and singular functions as in the GFEM for homogeneous materials. This procedure can address some of the limitations of existing FEMs by describing both cracks and fibers independently of the underlying FEM mesh. Examples illustrating the capabilities and robustness of the method are presented. Crack propagation simulations are compared to physical tests showing that the method can successfully reproduce the failure behavior of fiber-reinforced composites. The results show that several failure mechanisms of the composite can be reproduced by the model, including matrix crack propagation, fiber debonding, and failure. In addition a multiscale approach is proposed using the GFEMgl, a framework that allows intercommunication between macro and micro scales of the material.","abstract_has_math":false,"creators":["Alves, Phillipe Daniel"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Civil Engineering","degree_department":null,"school":null,"contributors":["Duarte, Carlos A","Geubelle, Philippe H","Lopez-Pamies, Oscar","Simone, Angelo"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2021,"date_issued":"2021-03-05T21:47:31Z","date_published":"2021-03-05T21:47:31Z","updated_at":"2026-07-22T22:24:50Z","subjects":["Generalized Finite Element Method Fiber-Reinforced Composites"],"languages":["en"],"rights":["Copyright 2020 Phillipe Alves"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/109628","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Duarte, Carlos A","Geubelle, Philippe H","Lopez-Pamies, Oscar","Simone, Angelo"]},{"key":"dc:creator","label":"Author","values":["Alves, Phillipe Daniel"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2021-03-05T21:47:31Z","2023-03-05T21:47:41Z","2020-12-03","2020-12"]},{"key":"dc:type","label":"Dc Type","values":["text","Thesis"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Civil Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Generalized Finite Element Method Fiber-Reinforced Composites"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2020 Phillipe Alves"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/109628"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Fiber reinforcements are used in a broad variety of materials in engineering. They increase the strength, stiffness, ductility, and resistance to fatigue of the unreinforced material. Computational simulations can reduce the cost of designing these materials, and improve the understanding of their failure mechanisms. However, modeling of damage evolution and the multiscale interactions in composite materials using standard Finite Element Methods (FEMs) face significant barriers in terms of model generation and problem size. This work presents recent advances of the Generalized Finite Element Method (GFEM) for three-dimensional modeling and simulation of crack propagation in fiber-reinforced composites. Fibers are discretely modeled using a modified formulation of the Embedded Reinforcement with bond Slip (mERS) that allows its combination with the GFEM where fractures are represented using enrichment functions instead of meshes fitting the crack surface. Matrix cracks are described using discontinuous and singular functions as in the GFEM for homogeneous materials. This procedure can address some of the limitations of existing FEMs by describing both cracks and fibers independently of the underlying FEM mesh. Examples illustrating the capabilities and robustness of the method are presented. Crack propagation simulations are compared to physical tests showing that the method can successfully reproduce the failure behavior of fiber-reinforced composites. The results show that several failure mechanisms of the composite can be reproduced by the model, including matrix crack propagation, fiber debonding, and failure. In addition a multiscale approach is proposed using the GFEMgl, a framework that allows intercommunication between macro and micro scales of the material.","Submission published under a 24 month embargo labeled 'Closed Access', the embargo will last until 2022-12-01","The student, Phillipe Alves, accepted the attached license on 2020-12-03 at 09:54.","The student, Phillipe Alves, submitted this Dissertation for approval on 2020-12-03 at 09:55.","This Dissertation was approved for publication on 2020-12-03 at 15:02.","DSpace SAF Submission Ingestion Package generated from Vireo submission #16053 on 2021-03-04 at 16:33:25","Made available in DSpace on 2021-03-05T21:47:31Z (GMT). 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They increase the strength, stiffness, ductility, and resistance to fatigue of the unreinforced material. Computational simulations can reduce the cost of designing these materials, and improve the understanding of their failure mechanisms. However, modeling of damage evolution and the multiscale interactions in composite materials using standard Finite Element Methods (FEMs) face significant barriers in terms of model generation and problem size. This work presents recent advances of the Generalized Finite Element Method (GFEM) for three-dimensional modeling and simulation of crack propagation in fiber-reinforced composites. Fibers are discretely modeled using a modified formulation of the Embedded Reinforcement with bond Slip (mERS) that allows its combination with the GFEM where fractures are represented using enrichment functions instead of meshes fitting the crack surface. Matrix cracks are described using discontinuous and singular functions as in the GFEM for homogeneous materials. This procedure can address some of the limitations of existing FEMs by describing both cracks and fibers independently of the underlying FEM mesh. Examples illustrating the capabilities and robustness of the method are presented. Crack propagation simulations are compared to physical tests showing that the method can successfully reproduce the failure behavior of fiber-reinforced composites. The results show that several failure mechanisms of the composite can be reproduced by the model, including matrix crack propagation, fiber debonding, and failure. In addition a multiscale approach is proposed using the GFEMgl, a framework that allows intercommunication between macro and micro scales of the material.","Submission published under a 24 month embargo labeled 'Closed Access', the embargo will last until 2022-12-01","The student, Phillipe Alves, accepted the attached license on 2020-12-03 at 09:54.","The student, Phillipe Alves, submitted this Dissertation for approval on 2020-12-03 at 09:55.","This Dissertation was approved for publication on 2020-12-03 at 15:02.","DSpace SAF Submission Ingestion Package generated from Vireo submission #16053 on 2021-03-04 at 16:33:25","Made available in DSpace on 2021-03-05T21:47:31Z (GMT). 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