TY - JOUR

T1 - Virtual element method for phase field modeling of dynamic fracture

AU - Liu, Tong Rui

AU - Aldakheel, Fadi

AU - Aliabadi, M. H.

N1 - Funding Information: This research did not receive any specific grant from funding agencies in the public, commercial, or not-for-profit sectors. Meanwhile, Tong-Rui Liu warmly thanks Dr. Tushar Kanti Mandal (Imperial College London, UK) for sharing the dataset and Dr. Tianchen Hu (Argonne National Laboratory, USA) for the fruitful discussion on a bounded constraint solver for the phase field problem. The helpful discussion with prof. Alejandro Ortiz-Bernardin (University of Chile, Chile) about the usage of open source library “VEMLAB” is fully acknowledged.

PY - 2023/6/1

Y1 - 2023/6/1

N2 - In this paper, we propose a new and efficient virtual element scheme for phase field modeling of the dynamic fracture using an explicit time integration scheme. The explicit time integrator divided the whole problem into two parts, namely, mechanical and damage sub-problems. The former is treated as an elastodynamic equation while the latter is treated as a Poisson equation with reaction terms subjected to irreversibility and bounded constraints. To test the performance of the proposed numerical framework, several benchmark problems are validated and the results are in good agreement with the corresponding numerical and experimental study. Moreover, VEM outperforms FEM in view of memory efficiency and choice of element type.

AB - In this paper, we propose a new and efficient virtual element scheme for phase field modeling of the dynamic fracture using an explicit time integration scheme. The explicit time integrator divided the whole problem into two parts, namely, mechanical and damage sub-problems. The former is treated as an elastodynamic equation while the latter is treated as a Poisson equation with reaction terms subjected to irreversibility and bounded constraints. To test the performance of the proposed numerical framework, several benchmark problems are validated and the results are in good agreement with the corresponding numerical and experimental study. Moreover, VEM outperforms FEM in view of memory efficiency and choice of element type.

KW - Brittle fracture

KW - Dynamic fracture

KW - Phase-field method

KW - Virtual element method

UR - http://www.scopus.com/inward/record.url?scp=85152634657&partnerID=8YFLogxK

U2 - 10.1016/j.cma.2023.116050

DO - 10.1016/j.cma.2023.116050

M3 - Article

AN - SCOPUS:85152634657

VL - 411

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

SN - 0045-7825

M1 - 116050

ER -