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Mesh objective simulations of large strain ductile fracture: A new nonlocal Johnson-Cook damage formulation for the Total Lagrangian Material Point Method

de Vaucorbeil, Alban, Nguyen, VP and Mandal, TK 2022, Mesh objective simulations of large strain ductile fracture: A new nonlocal Johnson-Cook damage formulation for the Total Lagrangian Material Point Method, Computer Methods in Applied Mechanics and Engineering, vol. 389, doi: 10.1016/j.cma.2021.114388.

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Title Mesh objective simulations of large strain ductile fracture: A new nonlocal Johnson-Cook damage formulation for the Total Lagrangian Material Point Method
Author(s) de Vaucorbeil, AlbanORCID iD for de Vaucorbeil, Alban orcid.org/0000-0002-7527-4159
Nguyen, VP
Mandal, TK
Journal name Computer Methods in Applied Mechanics and Engineering
Volume number 389
Publisher P
Publication date 2022-02-01
ISSN 0045-7825
Summary We present mesh objective simulations of large strain fracture of metals using a Total Lagrangian Material Point Method. The mesh objectivity is obtained by developing two nonlocal formulations of the well known Johnson-Cook damage criterion: an integral and a gradient enhanced formulation. Unlike previous nonlocal models in which the nonlocal variable is the plastic strain, we adopt the ratio of the plastic strain and the failure strain as the nonlocal variable. Using one simulation we demonstrate that the integral type nonlocal formulation results in incorrect damage initiation (i.e., not at the sample edge but within the sample). We then focus on the gradient enhanced formulation and use it to simulate three common benchmarks for quasi-static large strain ductile fracture of metals and one impact fracture of a metal plate hit by a blunt bullet. All the results exhibit mesh independence and are in good agreement with previous findings and experiments.
DOI 10.1016/j.cma.2021.114388
Indigenous content off
Field of Research 01 Mathematical Sciences
09 Engineering
Persistent URL http://hdl.handle.net/10536/DRO/DU:30160257

Document type: Journal Article
Collections: Institute for Frontier Materials
GTP Research
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