How regularization concepts interfere with (quasi-)brittle damage: a comparison based on a unified variational framework
| dc.contributor.author | Langenfeld, K. | |
| dc.contributor.author | Kurzeja, P. | |
| dc.contributor.author | Mosler, J. | |
| dc.date.accessioned | 2023-06-22T13:23:35Z | |
| dc.date.available | 2023-06-22T13:23:35Z | |
| dc.date.issued | 2022-09-05 | |
| dc.description.abstract | Three regularization concepts are assessed regarding their variational structure and interference with the predicted physics of (quasi-)brittle damage: the fracture energy concept, viscous regularization and micromorphic regularization. They are first introduced in a unified variational framework, depicting how they distinctively evolve from incremental energy minimization. The analysis of a certain time interval of a one-dimensional example is used to show how viscous and micromorphic regularization retains well-posedness within the softening regime. By way of contrast, the fracture energy concept is characterized by ill-posedness—as known from previous non-variational analyses. Numerical examples finally demonstrate the limitations and capabilities of each concept. The ill-posed local fracture energy concept leads by its design to a spatially constant fracture energy—in line with Griffith’s theory. The viscous regularization, in turn, yields a well-posed problem but artificial viscosity can add a bias to unloading and fracture thickness. Furthermore, and even more important, a viscous regularization does not predict a spatially constant fracture energy due to locally heterogeneous loading rates. The well-posed micromorphic regularization is in line with the underlying physics and does not show this undesired dependency. However, it requires the largest numerical efforts, since it is based on a coupled two-field formulation. | en |
| dc.identifier.uri | http://hdl.handle.net/2003/41837 | |
| dc.identifier.uri | http://dx.doi.org/10.17877/DE290R-23680 | |
| dc.language.iso | en | de |
| dc.relation.ispartofseries | Continuum mechanics and thermodynamics;34(6) | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | de |
| dc.subject | Variational framework | en |
| dc.subject | Damage mechanics | en |
| dc.subject | Fracture energy concept | en |
| dc.subject | Viscous regularization | en |
| dc.subject | Micromorphic regularization | en |
| dc.subject.ddc | 620 | |
| dc.subject.ddc | 670 | |
| dc.subject.rswk | Schadensmechanik | de |
| dc.subject.rswk | Numerisches Modell | de |
| dc.subject.rswk | Spröder Werkstoff | de |
| dc.title | How regularization concepts interfere with (quasi-)brittle damage: a comparison based on a unified variational framework | en |
| dc.type | Text | de |
| dc.type.publicationtype | Article | de |
| dcterms.accessRights | open access | |
| eldorado.secondarypublication | true | de |
| eldorado.secondarypublication.primarycitation | Langenfeld, K., Kurzeja, P. & Mosler, J. How regularization concepts interfere with (quasi-)brittle damage: a comparison based on a unified variational framework. Continuum Mech. Thermodyn. 34, 1517–1544 (2022). https://doi.org/10.1007/s00161-022-01143-2 | de |
| eldorado.secondarypublication.primaryidentifier | https://doi.org/10.1007/s00161-022-01143-2 | de |