Moving particle finite element method with superconvergence: Nodal integration formulation and applications

Su Hao; Wing Kam Liu

doi:10.1016/j.cma.2005.10.030

Moving particle finite element method with superconvergence: Nodal integration formulation and applications

Su Hao^*, Wing Kam Liu

^*Corresponding author for this work

Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

49 Scopus citations

Abstract

A new approach of moving particle finite element method has been developed which is capable to gain a global superconvergence through solving particle kernel function to satisfy high order consistencies. The nodal-based moving particle finite element method, inconjunction with the proposed superconvergence approach, provides an optimized combination in numerical accuracy and computation efficiency. The three-dimensional engineering scale simulations demonstrate that this scheme is robust and capable to handle high-speed penetration and dynamic crack propagation with intersonic and supersonic speeds.

Original language	English (US)
Pages (from-to)	6059-6072
Number of pages	14
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	195
Issue number	44-47
DOIs	https://doi.org/10.1016/j.cma.2005.10.030
State	Published - Sep 15 2006

Keywords

Dynamic crack growth
EFG
Finite element
Intersonic
Meshfree
Moving particle finite element
Particle method
Partition unity
Penetration
RKPM
Reproducing condition
SPH
Superconvergence
Supersonic

ASJC Scopus subject areas

Computational Mechanics
Mechanics of Materials
Mechanical Engineering
General Physics and Astronomy
Computer Science Applications

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10.1016/j.cma.2005.10.030

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title = "Moving particle finite element method with superconvergence: Nodal integration formulation and applications",

abstract = "A new approach of moving particle finite element method has been developed which is capable to gain a global superconvergence through solving particle kernel function to satisfy high order consistencies. The nodal-based moving particle finite element method, inconjunction with the proposed superconvergence approach, provides an optimized combination in numerical accuracy and computation efficiency. The three-dimensional engineering scale simulations demonstrate that this scheme is robust and capable to handle high-speed penetration and dynamic crack propagation with intersonic and supersonic speeds.",

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author = "Su Hao and Liu, {Wing Kam}",

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doi = "10.1016/j.cma.2005.10.030",

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T1 - Moving particle finite element method with superconvergence

T2 - Nodal integration formulation and applications

AU - Hao, Su

AU - Liu, Wing Kam

PY - 2006/9/15

Y1 - 2006/9/15

N2 - A new approach of moving particle finite element method has been developed which is capable to gain a global superconvergence through solving particle kernel function to satisfy high order consistencies. The nodal-based moving particle finite element method, inconjunction with the proposed superconvergence approach, provides an optimized combination in numerical accuracy and computation efficiency. The three-dimensional engineering scale simulations demonstrate that this scheme is robust and capable to handle high-speed penetration and dynamic crack propagation with intersonic and supersonic speeds.

AB - A new approach of moving particle finite element method has been developed which is capable to gain a global superconvergence through solving particle kernel function to satisfy high order consistencies. The nodal-based moving particle finite element method, inconjunction with the proposed superconvergence approach, provides an optimized combination in numerical accuracy and computation efficiency. The three-dimensional engineering scale simulations demonstrate that this scheme is robust and capable to handle high-speed penetration and dynamic crack propagation with intersonic and supersonic speeds.

KW - Dynamic crack growth

KW - EFG

KW - Finite element

KW - Intersonic

KW - Meshfree

KW - Moving particle finite element

KW - Particle method

KW - Partition unity

KW - Penetration

KW - RKPM

KW - Reproducing condition

KW - SPH

KW - Superconvergence

KW - Supersonic

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DO - 10.1016/j.cma.2005.10.030

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JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

IS - 44-47

ER -

Moving particle finite element method with superconvergence: Nodal integration formulation and applications

Abstract

Keywords

ASJC Scopus subject areas

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