A thermodynamically consistent discontinuous Galerkin formulation for interface separation

Versino, Daniele; Mourad, Hashem M.; Dávila, Carlos G.; Addessio, Francis L.

doi:10.1016/j.compstruct.2015.07.080

Title: A thermodynamically consistent discontinuous Galerkin formulation for interface separation

Journal Article · Fri Jul 31 00:00:00 EDT 2015 · Composite Structures

DOI:https://doi.org/10.1016/j.compstruct.2015.07.080· OSTI ID:1227100

Versino, Daniele ^[1]; Mourad, Hashem M. ^[1]; Dávila, Carlos G. ^[2]; Addessio, Francis L. ^[1]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
NASA Langley Research Center, Hampton, VA (United States). Structural Mechanics and Concepts Branch

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.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1227100

Alternate ID(s):: OSTI ID: 1249740

Report Number(s):: LA-UR-15-22422; PII: S0263822315006261

Journal Information:: Composite Structures, Vol. 133, Issue C; ISSN 0263-8223

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 12 works

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Locking‐free interface failure modeling by a cohesive discontinuous Galerkin method for matching and nonmatching meshes Bayat, Hamid Reza; Rezaei, Shahed; Brepols, Tim International Journal for Numerical Methods in Engineering, Vol. 121, Issue 8 https://doi.org/10.1002/nme.6286	journal	February 2020
Spacetime simulation of dynamic fracture with crack closure and frictional sliding Abedi, Reza; Haber, Robert B. Advanced Modeling and Simulation in Engineering Sciences, Vol. 5, Issue 1 https://doi.org/10.1186/s40323-018-0116-5	journal	September 2018

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Title: A thermodynamically consistent discontinuous Galerkin formulation for interface separation

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