Implementation and accuracy of mixed-time implicit-explicit methods for structural dynamics

Kam Liu Wing Kam Liu; Ted Belytschko; Fei Zhang Yi Fei Zhang

doi:10.1016/0045-7949(84)90098-1

Implementation and accuracy of mixed-time implicit-explicit methods for structural dynamics

Kam Liu Wing Kam Liu^*, Ted Belytschko, Fei Zhang Yi Fei Zhang

^*Corresponding author for this work

Mechanical Engineering

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

15 Scopus citations

Abstract

This paper deals with some practical computational aspects and numerical evaluation of the previously developed mixed-time implicit-explicit methods for structural dynamics. Three different topics: computer implementation of the mixed-time procedures; hourglass control for bilinear quadrilaterals using one-point quadrature and its effect on numerical stability in the explicit partition; and spurious oscillations in solutions are discussed. Two numerical examples are presented to examine the accuracy and effectiveness of mixed-time formulations.

Original language	English (US)
Pages (from-to)	521-530
Number of pages	10
Journal	Computers and Structures
Volume	19
Issue number	4
DOIs	https://doi.org/10.1016/0045-7949(84)90098-1
State	Published - 1984

Funding

Acknowledgement-Thseu pport of the National Science Foundation under Grant CEE-8211862is gratefullya c-knowledged.

ASJC Scopus subject areas

Civil and Structural Engineering
Modeling and Simulation
General Materials Science
Mechanical Engineering
Computer Science Applications

Access to Document

10.1016/0045-7949(84)90098-1

Cite this

@article{365b5e354db142aab8de0a8c7b2e0224,

title = "Implementation and accuracy of mixed-time implicit-explicit methods for structural dynamics",

abstract = "This paper deals with some practical computational aspects and numerical evaluation of the previously developed mixed-time implicit-explicit methods for structural dynamics. Three different topics: computer implementation of the mixed-time procedures; hourglass control for bilinear quadrilaterals using one-point quadrature and its effect on numerical stability in the explicit partition; and spurious oscillations in solutions are discussed. Two numerical examples are presented to examine the accuracy and effectiveness of mixed-time formulations.",

author = "{Wing Kam Liu}, {Kam Liu} and Ted Belytschko and {Yi Fei Zhang}, {Fei Zhang}",

note = "Funding Information: Acknowledgement-Thseu pport of the National Science Foundation under Grant CEE-8211862is gratefullya c-knowledged.",

year = "1984",

doi = "10.1016/0045-7949(84)90098-1",

language = "English (US)",

volume = "19",

pages = "521--530",

journal = "Computers and Structures",

issn = "0045-7949",

publisher = "Elsevier Ltd",

number = "4",

}

TY - JOUR

T1 - Implementation and accuracy of mixed-time implicit-explicit methods for structural dynamics

AU - Wing Kam Liu, Kam Liu

AU - Belytschko, Ted

AU - Yi Fei Zhang, Fei Zhang

N1 - Funding Information: Acknowledgement-Thseu pport of the National Science Foundation under Grant CEE-8211862is gratefullya c-knowledged.

PY - 1984

Y1 - 1984

N2 - This paper deals with some practical computational aspects and numerical evaluation of the previously developed mixed-time implicit-explicit methods for structural dynamics. Three different topics: computer implementation of the mixed-time procedures; hourglass control for bilinear quadrilaterals using one-point quadrature and its effect on numerical stability in the explicit partition; and spurious oscillations in solutions are discussed. Two numerical examples are presented to examine the accuracy and effectiveness of mixed-time formulations.

AB - This paper deals with some practical computational aspects and numerical evaluation of the previously developed mixed-time implicit-explicit methods for structural dynamics. Three different topics: computer implementation of the mixed-time procedures; hourglass control for bilinear quadrilaterals using one-point quadrature and its effect on numerical stability in the explicit partition; and spurious oscillations in solutions are discussed. Two numerical examples are presented to examine the accuracy and effectiveness of mixed-time formulations.

UR - http://www.scopus.com/inward/record.url?scp=0021614394&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0021614394&partnerID=8YFLogxK

U2 - 10.1016/0045-7949(84)90098-1

DO - 10.1016/0045-7949(84)90098-1

M3 - Article

AN - SCOPUS:0021614394

SN - 0045-7949

VL - 19

SP - 521

EP - 530

JO - Computers and Structures

JF - Computers and Structures

IS - 4

ER -

Implementation and accuracy of mixed-time implicit-explicit methods for structural dynamics

Abstract

Funding

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this