Tsakmakis, Aris (2023)
Modelling of crack propagation in ductile materials.
Technische Universität Darmstadt
doi: 10.26083/tuprints-00023111
Dissertation, Erstveröffentlichung, Verlagsversion
Kurzbeschreibung (Abstract)
Crack propagation in ductile materials is a major objective of fracture mechanics with numerous applications in structural analysis and engineering mechanics. The thesis is concerned with two different methods of modelling such issues, which have been employed successfully for problems in elasticity and have drawn attention in the fracture mechanics community in the recent years. The first one utilises the configurational forces approach and considers possible extensions to elastic-plastic materials with isotropic and kinematic hardening. The analysis of calculated examples makes clear that this method is generally not an appropriate one. Mathematically, this becomes noticeable by the fact that resulting J-integral expressions are path-dependent and physically, through the knowledge that it is not an easy matter to define a crack driving force unambiguously. Hence, a second method is applied, which addresses crack propagation for ductile materials in the frameworks of phase field theories and non-conventional thermodynamics. Again, plasticity with isotropic and kinematic hardening is supposed. Simulated examples and physical considerations suggest to employ the methods and ideas of traditional continuum damage mechanics as basis for the constitutive modelling. Accordingly, a new phase field model for ductile crack propagation is proposed. The capabilities of the model are verified with reference to one-, two- and three-dimensional examples, calculated with the finite element method. The analysis of these examples reveals that the proposed model is well suited for predicting crack propagation in ductile materials, subject to complex and in particular to cyclic loading conditions.
Typ des Eintrags: | Dissertation | ||||
---|---|---|---|---|---|
Erschienen: | 2023 | ||||
Autor(en): | Tsakmakis, Aris | ||||
Art des Eintrags: | Erstveröffentlichung | ||||
Titel: | Modelling of crack propagation in ductile materials | ||||
Sprache: | Englisch | ||||
Referenten: | Vormwald, Prof. Dr. Michael ; Müller, Prof. Dr. Ralf | ||||
Publikationsjahr: | 2023 | ||||
Ort: | Darmstadt | ||||
Kollation: | xii, 112 Seiten | ||||
Datum der mündlichen Prüfung: | 27 September 2022 | ||||
DOI: | 10.26083/tuprints-00023111 | ||||
URL / URN: | https://tuprints.ulb.tu-darmstadt.de/23111 | ||||
Kurzbeschreibung (Abstract): | Crack propagation in ductile materials is a major objective of fracture mechanics with numerous applications in structural analysis and engineering mechanics. The thesis is concerned with two different methods of modelling such issues, which have been employed successfully for problems in elasticity and have drawn attention in the fracture mechanics community in the recent years. The first one utilises the configurational forces approach and considers possible extensions to elastic-plastic materials with isotropic and kinematic hardening. The analysis of calculated examples makes clear that this method is generally not an appropriate one. Mathematically, this becomes noticeable by the fact that resulting J-integral expressions are path-dependent and physically, through the knowledge that it is not an easy matter to define a crack driving force unambiguously. Hence, a second method is applied, which addresses crack propagation for ductile materials in the frameworks of phase field theories and non-conventional thermodynamics. Again, plasticity with isotropic and kinematic hardening is supposed. Simulated examples and physical considerations suggest to employ the methods and ideas of traditional continuum damage mechanics as basis for the constitutive modelling. Accordingly, a new phase field model for ductile crack propagation is proposed. The capabilities of the model are verified with reference to one-, two- and three-dimensional examples, calculated with the finite element method. The analysis of these examples reveals that the proposed model is well suited for predicting crack propagation in ductile materials, subject to complex and in particular to cyclic loading conditions. |
||||
Alternatives oder übersetztes Abstract: |
|
||||
Status: | Verlagsversion | ||||
URN: | urn:nbn:de:tuda-tuprints-231117 | ||||
Sachgruppe der Dewey Dezimalklassifikatin (DDC): | 600 Technik, Medizin, angewandte Wissenschaften > 620 Ingenieurwissenschaften und Maschinenbau | ||||
Fachbereich(e)/-gebiet(e): | 13 Fachbereich Bau- und Umweltingenieurwissenschaften 13 Fachbereich Bau- und Umweltingenieurwissenschaften > Institut für Stahlbau und Werkstoffmechanik 13 Fachbereich Bau- und Umweltingenieurwissenschaften > Institut für Stahlbau und Werkstoffmechanik > Fachgebiet Werkstoffmechanik |
||||
Hinterlegungsdatum: | 20 Jan 2023 13:03 | ||||
Letzte Änderung: | 23 Jan 2023 08:24 | ||||
PPN: | |||||
Referenten: | Vormwald, Prof. Dr. Michael ; Müller, Prof. Dr. Ralf | ||||
Datum der mündlichen Prüfung / Verteidigung / mdl. Prüfung: | 27 September 2022 | ||||
Export: | |||||
Suche nach Titel in: | TUfind oder in Google |
![]() |
Frage zum Eintrag |
Optionen (nur für Redakteure)
![]() |
Redaktionelle Details anzeigen |