A new mixed-mode fracture criterion for large-scale lattice models
Reasonable fracture criteria are crucial for the modeling of dynamic failure in computational lattice models. Successful criteria exist for experiments on the micro- and on the mesoscale, which are based on the stress that a bond experiences. In this paper, we test the applicability of these failure...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Copernicus Publications
2014-01-01
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| Series: | Geoscientific Model Development |
| Online Access: | http://www.geosci-model-dev.net/7/243/2014/gmd-7-243-2014.pdf |
| _version_ | 1811253340214919168 |
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| author | T. Sachau D. Koehn |
| author_facet | T. Sachau D. Koehn |
| author_sort | T. Sachau |
| collection | DOAJ |
| description | Reasonable fracture criteria are crucial for the modeling of dynamic failure
in computational lattice models. Successful criteria exist for experiments on
the micro- and on the mesoscale, which are based on
the stress that a bond experiences. In this paper, we test the applicability
of these failure criteria to large-scale models, where gravity plays an
important role in addition to the externally applied deformation. Brittle
structures, resulting from these criteria, do not resemble the outcome
predicted by fracture mechanics and by geological observations. For this
reason we derive an elliptical fracture criterion, which is based on the
strain energy stored in a bond. Simulations using the new criterion result in
realistic structures. It is another great advantage of this fracture model
that it can be combined with classic geological material parameters: the
tensile strength σ<sub>0</sub> and the shear cohesion τ<sub>0</sub>. The proposed
fracture criterion is much more robust with regard to numerical strain
increments than fracture criteria based on stress (e.g., Drucker–Prager). While
we tested the fracture model only for large-scale structures, there is strong
reason to believe that the model is equally applicable to lattice simulations
on the micro- and on the mesoscale. |
| first_indexed | 2024-04-12T16:49:25Z |
| format | Article |
| id | doaj.art-f5d3f65953064db2b59036c7f6edfc55 |
| institution | Directory Open Access Journal |
| issn | 1991-959X 1991-9603 |
| language | English |
| last_indexed | 2024-04-12T16:49:25Z |
| publishDate | 2014-01-01 |
| publisher | Copernicus Publications |
| record_format | Article |
| series | Geoscientific Model Development |
| spelling | doaj.art-f5d3f65953064db2b59036c7f6edfc552022-12-22T03:24:28ZengCopernicus PublicationsGeoscientific Model Development1991-959X1991-96032014-01-017124324710.5194/gmd-7-243-2014A new mixed-mode fracture criterion for large-scale lattice modelsT. Sachau0D. Koehn1Institut für Geowissenschaften, Johannes Gutenberg-Universität Mainz, Mainz, GermanySchool of Geographical and Earth Sciences, University of Glasgow, Glasgow, UKReasonable fracture criteria are crucial for the modeling of dynamic failure in computational lattice models. Successful criteria exist for experiments on the micro- and on the mesoscale, which are based on the stress that a bond experiences. In this paper, we test the applicability of these failure criteria to large-scale models, where gravity plays an important role in addition to the externally applied deformation. Brittle structures, resulting from these criteria, do not resemble the outcome predicted by fracture mechanics and by geological observations. For this reason we derive an elliptical fracture criterion, which is based on the strain energy stored in a bond. Simulations using the new criterion result in realistic structures. It is another great advantage of this fracture model that it can be combined with classic geological material parameters: the tensile strength σ<sub>0</sub> and the shear cohesion τ<sub>0</sub>. The proposed fracture criterion is much more robust with regard to numerical strain increments than fracture criteria based on stress (e.g., Drucker–Prager). While we tested the fracture model only for large-scale structures, there is strong reason to believe that the model is equally applicable to lattice simulations on the micro- and on the mesoscale.http://www.geosci-model-dev.net/7/243/2014/gmd-7-243-2014.pdf |
| spellingShingle | T. Sachau D. Koehn A new mixed-mode fracture criterion for large-scale lattice models Geoscientific Model Development |
| title | A new mixed-mode fracture criterion for large-scale lattice models |
| title_full | A new mixed-mode fracture criterion for large-scale lattice models |
| title_fullStr | A new mixed-mode fracture criterion for large-scale lattice models |
| title_full_unstemmed | A new mixed-mode fracture criterion for large-scale lattice models |
| title_short | A new mixed-mode fracture criterion for large-scale lattice models |
| title_sort | new mixed mode fracture criterion for large scale lattice models |
| url | http://www.geosci-model-dev.net/7/243/2014/gmd-7-243-2014.pdf |
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