Unified Space-Time Finite Element Methods for Dissipative Continua Dynamics

Jinkyu Kim; Gary F. Dargush; Hwasung Roh; Jaeho Ryu; Dongkeon Kim

doi:10.1142/S1758825117500193

Unified Space-Time Finite Element Methods for Dissipative Continua Dynamics

Jinkyu Kim
, Gary F. Dargush
, Hwasung Roh
, Jaeho Ryu
, Dongkeon Kim^*

^*Corresponding author for this work

Civil Engineering Major

Hanyang University
SUNY Buffalo
Korea University
Dong-A University

Research output: Contribution to journal › Journal article › peer-review

6 Scopus citations

Abstract

Based upon the extended framework of Hamilton's principle, unified space-time finite element methods for viscoelastic and viscoplastic continuum dynamics are presented, respectively. For numerical efficiency, mixed time-step algorithm in time- A nd displacement-based algorithm in space are adopted. Through analytical investigation, we demonstrate that the Newmark's constant average acceleration method and the present method are the same for viscoelasticity. With spatial eight-node brick elements, some numerical simulations are undertaken to validate and investigate the performance of the present non-iterative space-time finite element method for viscoplasticity.

Original language	English
Article number	1750019
Journal	International Journal of Applied Mechanics
Volume	9
Issue number	2
DOIs	https://doi.org/10.1142/S1758825117500193
State	Published - 2017.03.1

Keywords

Continuum dynamics
viscoelasticity
viscoplasticity

Quacquarelli Symonds(QS) Subject Topics

Engineering - Mechanical
Materials Science

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10.1142/S1758825117500193

Cite this

@article{51177989b8144acaa6b481e976fff419,

title = "Unified Space-Time Finite Element Methods for Dissipative Continua Dynamics",

abstract = "Based upon the extended framework of Hamilton's principle, unified space-time finite element methods for viscoelastic and viscoplastic continuum dynamics are presented, respectively. For numerical efficiency, mixed time-step algorithm in time- A nd displacement-based algorithm in space are adopted. Through analytical investigation, we demonstrate that the Newmark's constant average acceleration method and the present method are the same for viscoelasticity. With spatial eight-node brick elements, some numerical simulations are undertaken to validate and investigate the performance of the present non-iterative space-time finite element method for viscoplasticity.",

keywords = "Continuum dynamics, viscoelasticity, viscoplasticity",

author = "Jinkyu Kim and Dargush, \{Gary F.\} and Hwasung Roh and Jaeho Ryu and Dongkeon Kim",

note = "Publisher Copyright: {\textcopyright} 2017 World Scientific Publishing Europe Ltd.",

year = "2017",

month = mar,

day = "1",

doi = "10.1142/S1758825117500193",

language = "English",

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journal = "International Journal of Applied Mechanics",

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T1 - Unified Space-Time Finite Element Methods for Dissipative Continua Dynamics

AU - Kim, Jinkyu

AU - Dargush, Gary F.

AU - Roh, Hwasung

AU - Ryu, Jaeho

AU - Kim, Dongkeon

PY - 2017/3/1

Y1 - 2017/3/1

N2 - Based upon the extended framework of Hamilton's principle, unified space-time finite element methods for viscoelastic and viscoplastic continuum dynamics are presented, respectively. For numerical efficiency, mixed time-step algorithm in time- A nd displacement-based algorithm in space are adopted. Through analytical investigation, we demonstrate that the Newmark's constant average acceleration method and the present method are the same for viscoelasticity. With spatial eight-node brick elements, some numerical simulations are undertaken to validate and investigate the performance of the present non-iterative space-time finite element method for viscoplasticity.

AB - Based upon the extended framework of Hamilton's principle, unified space-time finite element methods for viscoelastic and viscoplastic continuum dynamics are presented, respectively. For numerical efficiency, mixed time-step algorithm in time- A nd displacement-based algorithm in space are adopted. Through analytical investigation, we demonstrate that the Newmark's constant average acceleration method and the present method are the same for viscoelasticity. With spatial eight-node brick elements, some numerical simulations are undertaken to validate and investigate the performance of the present non-iterative space-time finite element method for viscoplasticity.

KW - Continuum dynamics

KW - viscoelasticity

KW - viscoplasticity

UR - https://www.scopus.com/pages/publications/85018482573

U2 - 10.1142/S1758825117500193

DO - 10.1142/S1758825117500193

M3 - Journal article

AN - SCOPUS:85018482573

SN - 1758-8251

VL - 9

JO - International Journal of Applied Mechanics

JF - International Journal of Applied Mechanics

IS - 2

M1 - 1750019

ER -

Unified Space-Time Finite Element Methods for Dissipative Continua Dynamics

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

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