Impact fracture analysis enhanced by contact of peridynamic and finite element formulations

A new contact algorithm is implemented for the interaction of peridynamic regime and finite elements for the effective impact fracture analysis. The region that might experience fracture is modeled using peridynamics that is a reformulated theory of continuum mechanics while the impact projectile is...

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Published in	International journal of impact engineering Vol. 87; pp. 108 - 119
Main Authors	Lee, Jooeun, Liu, Wenyang, Hong, Jung-Wuk
Format	Journal Article
Language	English
Published	Elsevier Ltd 01.01.2016
Subjects	Algorithms Computer simulation Contact Finite element method Fracture mechanics Impact analysis Mathematical analysis Mathematical models Numerical simulation Penetration Peridynamics Numerical simulation Peridynamics Penetration Contact
Online Access	Get full text
ISSN	0734-743X 1879-3509
DOI	10.1016/j.ijimpeng.2015.06.012

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Abstract	A new contact algorithm is implemented for the interaction of peridynamic regime and finite elements for the effective impact fracture analysis. The region that might experience fracture is modeled using peridynamics that is a reformulated theory of continuum mechanics while the impact projectile is modeled by three-dimensional finite elements in order to exploit mutual advantages of the formulations. An inverse isoparametric mapping technique and a node-to-surface contact algorithm are customized and implemented, and a penalty method enforcing displacement constraints is then incorporated for the transient analyses using the explicit time integration. The proposed numerical technique is applied to several examples for verification and validation. Starting with examining the material behavior of a peridynamic bar, rigid-body impact is then studied for the verification of contact-impact procedure. The ballistic perforation of an impactor through a steel plate is investigated numerically. Good agreement between numerical simulations and the analytical model is observed in the analysis of the residual velocities. The physical process of perforation is captured accurately in the simulations using the proposed numerical methodology. •Using peridynamic formulation, the impact of a rigid projectile into a rigid wall is studied.•The perforation of a steel plate by a blunt-nosed cylindrical rigid projectile is discussed.•For the projectile with an initial velocity beyond the ballistic limit velocity, the comparison work is conducted.•The overall physical behavior of the perforation process is numerically observed.
AbstractList	A new contact algorithm is implemented for the interaction of peridynamic regime and finite elements for the effective impact fracture analysis. The region that might experience fracture is modeled using peridynamics that is a reformulated theory of continuum mechanics while the impact projectile is modeled by three-dimensional finite elements in order to exploit mutual advantages of the formulations. An inverse isoparametric mapping technique and a node-to-surface contact algorithm are customized and implemented, and a penalty method enforcing displacement constraints is then incorporated for the transient analyses using the explicit time integration. The proposed numerical technique is applied to several examples for verification and validation. Starting with examining the material behavior of a peridynamic bar, rigid-body impact is then studied for the verification of contact-impact procedure. The ballistic perforation of an impactor through a steel plate is investigated numerically. Good agreement between numerical simulations and the analytical model is observed in the analysis of the residual velocities. The physical process of perforation is captured accurately in the simulations using the proposed numerical methodology. •Using peridynamic formulation, the impact of a rigid projectile into a rigid wall is studied.•The perforation of a steel plate by a blunt-nosed cylindrical rigid projectile is discussed.•For the projectile with an initial velocity beyond the ballistic limit velocity, the comparison work is conducted.•The overall physical behavior of the perforation process is numerically observed. A new contact algorithm is implemented for the interaction of peridynamic regime and finite elements for the effective impact fracture analysis. The region that might experience fracture is modeled using peridynamics that is a reformulated theory of continuum mechanics while the impact projectile is modeled by three-dimensional finite elements in order to exploit mutual advantages of the formulations. An inverse isoparametric mapping technique and a node-to-surface contact algorithm are customized and implemented, and a penalty method enforcing displacement constraints is then incorporated for the transient analyses using the explicit time integration. The proposed numerical technique is applied to several examples for verification and validation. Starting with examining the material behavior of a peridynamic bar, rigid-body impact is then studied for the verification of contact-impact procedure. The ballistic perforation of an impactor through a steel plate is investigated numerically. Good agreement between numerical simulations and the analytical model is observed in the analysis of the residual velocities. The physical process of perforation is captured accurately in the simulations using the proposed numerical methodology.
Author	Lee, Jooeun Liu, Wenyang Hong, Jung-Wuk
Author_xml	– sequence: 1 givenname: Jooeun surname: Lee fullname: Lee, Jooeun organization: Department of Civil and Environmental Engineering, Korea Advanced Institute of Science and Technology, Daejeon, 305-701, Republic of Korea – sequence: 2 givenname: Wenyang surname: Liu fullname: Liu, Wenyang organization: Third Wave Systems, Minneapolis, MN, MN 55344, USA – sequence: 3 givenname: Jung-Wuk surname: Hong fullname: Hong, Jung-Wuk email: jwhong@alum.mit.edu, j.hong@kaist.ac.kr organization: Department of Civil and Environmental Engineering, Korea Advanced Institute of Science and Technology, Daejeon, 305-701, Republic of Korea
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Snippet	A new contact algorithm is implemented for the interaction of peridynamic regime and finite elements for the effective impact fracture analysis. The region...
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SubjectTerms	Algorithms Computer simulation Contact Finite element method Fracture mechanics Impact analysis Mathematical analysis Mathematical models Numerical simulation Penetration Peridynamics
Title	Impact fracture analysis enhanced by contact of peridynamic and finite element formulations
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