3D Phase-Field for Pressurized Fracture Propagation in Heterogeneous Media

3D Phase-Field for Pressurized Fracture Propagation in Heterogeneous Media. Wick, T., Lee, S., & Wheeler, M. F Volume International Center for Numerical Methods in Engineering (CIMNE) Barcelona, Spain. 2015.
abstract bibtex

This work presents recent progress in phase-field-based fracture modeling in heterogeneous porous media. Existing algorithms that have been developed in the last years are extended to tackle three-dimensional configurations. Our solution technique is formulated in terms of a nested Newton loop that combines a primal-dual active set method (required for treating the crack irreversibility) and a Newton method to solve the nonlinear, fully-coupled PDE system. An advanced numerical test demonstrates the capabilities of our method.

@proceedings{WickLeeWhe2015_3D,
  title={3D Phase-Field for Pressurized Fracture Propagation in Heterogeneous Media},
  author={Wick, Thomas and Lee, Sanghyun and Wheeler, Mary F},
  booktitle={Coupled Problems in Science and Engineering VI},
  year={2015},
  pages={605--613},
  editor={B. Schrefler, E. Oñate and M. Papadrakakis},
  publisher={International Center for Numerical Methods in Engineering (CIMNE) Barcelona, Spain},
  abstract={This work presents recent progress in phase-field-based fracture modeling in
heterogeneous porous media. Existing algorithms that have been developed in the last
years are extended to tackle three-dimensional configurations. Our solution technique
is formulated in terms of a nested Newton loop that combines a primal-dual active set
method (required for treating the crack irreversibility) and a Newton method to solve
the nonlinear, fully-coupled PDE system. An advanced numerical test demonstrates the
capabilities of our method.},
  keywords={Phase-field fracture, Porous media, Adaptive finite elements}
}

Downloads: 0

{"_id":"mbM49J2dxAJSc7MgJ","bibbaseid":"wick-lee-wheeler-3dphasefieldforpressurizedfracturepropagationinheterogeneousmedia-2015","author_short":["Wick, T.","Lee, S.","Wheeler, M. F"],"bibdata":{"bibtype":"proceedings","type":"proceedings","title":"3D Phase-Field for Pressurized Fracture Propagation in Heterogeneous Media","author":[{"propositions":[],"lastnames":["Wick"],"firstnames":["Thomas"],"suffixes":[]},{"propositions":[],"lastnames":["Lee"],"firstnames":["Sanghyun"],"suffixes":[]},{"propositions":[],"lastnames":["Wheeler"],"firstnames":["Mary","F"],"suffixes":[]}],"booktitle":"Coupled Problems in Science and Engineering VI","year":"2015","pages":"605–613","editor":[{"propositions":[],"lastnames":["B.","Schrefler"],"firstnames":["E.","Oñate"],"suffixes":[]},{"firstnames":["M."],"propositions":[],"lastnames":["Papadrakakis"],"suffixes":[]}],"publisher":"International Center for Numerical Methods in Engineering (CIMNE) Barcelona, Spain","abstract":"This work presents recent progress in phase-field-based fracture modeling in heterogeneous porous media. Existing algorithms that have been developed in the last years are extended to tackle three-dimensional configurations. Our solution technique is formulated in terms of a nested Newton loop that combines a primal-dual active set method (required for treating the crack irreversibility) and a Newton method to solve the nonlinear, fully-coupled PDE system. An advanced numerical test demonstrates the capabilities of our method.","keywords":"Phase-field fracture, Porous media, Adaptive finite elements","bibtex":"@proceedings{WickLeeWhe2015_3D,\n title={3D Phase-Field for Pressurized Fracture Propagation in Heterogeneous Media},\n author={Wick, Thomas and Lee, Sanghyun and Wheeler, Mary F},\n booktitle={Coupled Problems in Science and Engineering VI},\n year={2015},\n pages={605--613},\n editor={B. Schrefler, E. Oñate and M. Papadrakakis},\n publisher={International Center for Numerical Methods in Engineering (CIMNE) Barcelona, Spain},\n abstract={This work presents recent progress in phase-field-based fracture modeling in\nheterogeneous porous media. Existing algorithms that have been developed in the last\nyears are extended to tackle three-dimensional configurations. Our solution technique\nis formulated in terms of a nested Newton loop that combines a primal-dual active set\nmethod (required for treating the crack irreversibility) and a Newton method to solve\nthe nonlinear, fully-coupled PDE system. An advanced numerical test demonstrates the\ncapabilities of our method.},\n keywords={Phase-field fracture, Porous media, Adaptive finite elements}\n}\n\n\n","author_short":["Wick, T.","Lee, S.","Wheeler, M. F"],"editor_short":["B. Schrefler, E. O.","Papadrakakis, M."],"key":"WickLeeWhe2015_3D","id":"WickLeeWhe2015_3D","bibbaseid":"wick-lee-wheeler-3dphasefieldforpressurizedfracturepropagationinheterogeneousmedia-2015","role":"author","urls":{},"keyword":["Phase-field fracture","Porous media","Adaptive finite elements"],"metadata":{"authorlinks":{}},"html":""},"bibtype":"proceedings","biburl":"https://www.math.fsu.edu/~lee/mypub.bib","dataSources":["457QZEBmqtBCSsjgP"],"keywords":["phase-field fracture","porous media","adaptive finite elements"],"search_terms":["phase","field","pressurized","fracture","propagation","heterogeneous","media","wick","lee","wheeler"],"title":"3D Phase-Field for Pressurized Fracture Propagation in Heterogeneous Media","year":2015}