A thermodynamically consistent discontinuous Galerkin formulation for interface separation
Abstract
Our paper describes the formulation of an interface damage model, based on the discontinuous Galerkin (DG) method, for the simulation of failure and crack propagation in laminated structures. The DG formulation avoids common difficulties associated with cohesive elements. Specifically, it does not introduce any artificial interfacial compliance and, in explicit dynamic analysis, it leads to a stable time increment size which is unaffected by the presence of stiff massless interfaces. This proposed method is implemented in a finite element setting. Convergence and accuracy are demonstrated in Mode I and mixed-mode delamination in both static and dynamic analyses. Significantly, numerical results obtained using the proposed interface model are found to be independent of the value of the penalty factor that characterizes the DG formulation. By contrast, numerical results obtained using a classical cohesive method are found to be dependent on the cohesive penalty stiffnesses. The proposed approach is shown to yield more accurate predictions pertaining to crack propagation under mixed-mode fracture because of the advantage. Furthermore, in explicit dynamic analysis, the stable time increment size calculated with the proposed method is found to be an order of magnitude larger than the maximum allowable value for classical cohesive elements.
- Authors:
-
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- NASA Langley Research Center, Hampton, VA (United States). Structural Mechanics and Concepts Branch
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1227100
- Alternate Identifier(s):
- OSTI ID: 1249740
- Report Number(s):
- LA-UR-15-22422
Journal ID: ISSN 0263-8223; PII: S0263822315006261
- Grant/Contract Number:
- AC52-06NA25396
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Composite Structures
- Additional Journal Information:
- Journal Volume: 133; Journal Issue: C; Journal ID: ISSN 0263-8223
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 42 ENGINEERING; 97 MATHEMATICS AND COMPUTING; interface failure; delamination; cohesive-zone models; damage modeling; discontinuous Galerkin method; dynamic structural analysis
Citation Formats
Versino, Daniele, Mourad, Hashem M., Dávila, Carlos G., and Addessio, Francis L. A thermodynamically consistent discontinuous Galerkin formulation for interface separation. United States: N. p., 2015.
Web. doi:10.1016/j.compstruct.2015.07.080.
Versino, Daniele, Mourad, Hashem M., Dávila, Carlos G., & Addessio, Francis L. A thermodynamically consistent discontinuous Galerkin formulation for interface separation. United States. https://doi.org/10.1016/j.compstruct.2015.07.080
Versino, Daniele, Mourad, Hashem M., Dávila, Carlos G., and Addessio, Francis L. Fri .
"A thermodynamically consistent discontinuous Galerkin formulation for interface separation". United States. https://doi.org/10.1016/j.compstruct.2015.07.080. https://www.osti.gov/servlets/purl/1227100.
@article{osti_1227100,
title = {A thermodynamically consistent discontinuous Galerkin formulation for interface separation},
author = {Versino, Daniele and Mourad, Hashem M. and Dávila, Carlos G. and Addessio, Francis L.},
abstractNote = {Our paper describes the formulation of an interface damage model, based on the discontinuous Galerkin (DG) method, for the simulation of failure and crack propagation in laminated structures. The DG formulation avoids common difficulties associated with cohesive elements. Specifically, it does not introduce any artificial interfacial compliance and, in explicit dynamic analysis, it leads to a stable time increment size which is unaffected by the presence of stiff massless interfaces. This proposed method is implemented in a finite element setting. Convergence and accuracy are demonstrated in Mode I and mixed-mode delamination in both static and dynamic analyses. Significantly, numerical results obtained using the proposed interface model are found to be independent of the value of the penalty factor that characterizes the DG formulation. By contrast, numerical results obtained using a classical cohesive method are found to be dependent on the cohesive penalty stiffnesses. The proposed approach is shown to yield more accurate predictions pertaining to crack propagation under mixed-mode fracture because of the advantage. Furthermore, in explicit dynamic analysis, the stable time increment size calculated with the proposed method is found to be an order of magnitude larger than the maximum allowable value for classical cohesive elements.},
doi = {10.1016/j.compstruct.2015.07.080},
journal = {Composite Structures},
number = C,
volume = 133,
place = {United States},
year = {Fri Jul 31 00:00:00 EDT 2015},
month = {Fri Jul 31 00:00:00 EDT 2015}
}
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Works referencing / citing this record:
Locking‐free interface failure modeling by a cohesive discontinuous Galerkin method for matching and nonmatching meshes
journal, February 2020
- Bayat, Hamid Reza; Rezaei, Shahed; Brepols, Tim
- International Journal for Numerical Methods in Engineering, Vol. 121, Issue 8
Spacetime simulation of dynamic fracture with crack closure and frictional sliding
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