Finite deformation cohesive polygonal finite elements for modeling pervasive fracture

Chin, Eric B.; Bishop, Joseph E.; Garimella, Rao Veerabhadra; Sukumar, N.

doi:10.1007/s10704-018-0325-4

Title: Finite deformation cohesive polygonal finite elements for modeling pervasive fracture

Journal Article · Thu Nov 01 00:00:00 EDT 2018 · International Journal of Fracture

DOI:https://doi.org/10.1007/s10704-018-0325-4· OSTI ID:1484647

^[1]; Bishop, Joseph E. ^[2];

^[3]; Sukumar, N. ^[1]

Univ. of California, Davis, CA (United States)
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

In this work, we introduce a framework for modeling dynamic fracture problems using cohesive polygonal finite elements. Random polygonal meshes provide a robust, efficient method for generating an unbiased network of fracture surfaces. Further, these meshes have more facets per element than standard triangle or quadrilateral meshes, providing more possible facets per element to insert cohesive surfaces. This property of polygonal meshes is advantageous for the modeling of pervasive fracture. We use both Wachspress and maximum entropy shape functions to form a finite element basis over the polygons. Fracture surfaces are captured through dynamically inserted cohesive zone elements at facets between the polygons in the mesh. Contact is enforced through a penalty method that is applied to both closed cohesive surfaces and general interpenetration of two polygonal elements. Finally, several numerical examples are presented that illustrate the capabilities of the method and demonstrate convergence of solutions.

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

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: 89233218CNA000001; AC52-06NA25396; NA0003525

OSTI ID:: 1484647

Report Number(s):: LA-UR-18-24358

Journal Information:: International Journal of Fracture, Vol. 214, Issue 2; ISSN 0376-9429

Publisher:: SpringerCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 5 works

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