Non-physical finite element method: Multiple material discontinuities

Roohoolamin Darvizeh; Keith Davey

doi:10.1016/j.compstruc.2015.11.010

Non-physical finite element method: Multiple material discontinuities

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

Abstract

The theory proposed in the paper provides a new approach for the modelling of multiple material discontinuities. The scope of this work is restricted to numerical methods and in particular an approach that utilises the benefits of traditional continuous finite element approximations but enhanced with an increased capacity for handling material discontinuities. The approach is founded on transport forms of the governing conservation laws describing discontinuous physics by means of bespoke moving control volumes and the non-physical field concept. The theory is demonstrated through its application to steady-state and transient flyer impact-plate problems for which analytical results are available.

Original language	English
Pages (from-to)	145-160
Number of pages	15
Journal	Computers & Structures
Volume	164
DOIs	https://doi.org/10.1016/j.compstruc.2015.11.010
Publication status	Published - Feb 2016

Keywords

Finite element; Transport equations; Multiple material discontinuities; Impact engineering

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10.1016/j.compstruc.2015.11.010

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title = "Non-physical finite element method: Multiple material discontinuities",

abstract = "The theory proposed in the paper provides a new approach for the modelling of multiple material discontinuities. The scope of this work is restricted to numerical methods and in particular an approach that utilises the benefits of traditional continuous finite element approximations but enhanced with an increased capacity for handling material discontinuities. The approach is founded on transport forms of the governing conservation laws describing discontinuous physics by means of bespoke moving control volumes and the non-physical field concept. The theory is demonstrated through its application to steady-state and transient flyer impact-plate problems for which analytical results are available.",

keywords = "Finite element; Transport equations; Multiple material discontinuities; Impact engineering",

author = "Roohoolamin Darvizeh and Keith Davey",

note = "uthors would like to acknowledge the Faculty of Engineering and Physical Sciences of the University of Manchester for the pump priming research funding which helped the authors to extend the NPFEM for modelling the of different case studies. Also the authors would like to acknowledge Electricit{\'e} de France (EDF) funding and support in developing preliminary work on the theory relating to a single material discontinuity.",

year = "2016",

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doi = "10.1016/j.compstruc.2015.11.010",

language = "English",

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journal = "Computers & Structures",

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AU - Darvizeh, Roohoolamin

AU - Davey, Keith

N1 - uthors would like to acknowledge the Faculty of Engineering and Physical Sciences of the University of Manchester for the pump priming research funding which helped the authors to extend the NPFEM for modelling the of different case studies. Also the authors would like to acknowledge Electricité de France (EDF) funding and support in developing preliminary work on the theory relating to a single material discontinuity.

PY - 2016/2

Y1 - 2016/2

N2 - The theory proposed in the paper provides a new approach for the modelling of multiple material discontinuities. The scope of this work is restricted to numerical methods and in particular an approach that utilises the benefits of traditional continuous finite element approximations but enhanced with an increased capacity for handling material discontinuities. The approach is founded on transport forms of the governing conservation laws describing discontinuous physics by means of bespoke moving control volumes and the non-physical field concept. The theory is demonstrated through its application to steady-state and transient flyer impact-plate problems for which analytical results are available.

AB - The theory proposed in the paper provides a new approach for the modelling of multiple material discontinuities. The scope of this work is restricted to numerical methods and in particular an approach that utilises the benefits of traditional continuous finite element approximations but enhanced with an increased capacity for handling material discontinuities. The approach is founded on transport forms of the governing conservation laws describing discontinuous physics by means of bespoke moving control volumes and the non-physical field concept. The theory is demonstrated through its application to steady-state and transient flyer impact-plate problems for which analytical results are available.

KW - Finite element; Transport equations; Multiple material discontinuities; Impact engineering

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DO - 10.1016/j.compstruc.2015.11.010

M3 - Article

SN - 0045-7949

VL - 164

SP - 145

EP - 160

JO - Computers & Structures

JF - Computers & Structures

ER -

Non-physical finite element method: Multiple material discontinuities

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Keywords

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