Buckling of extensible thermoelastic rods

J. Cisternas; P. Holmes

doi:10.1016/S0895-7177(02)00122-X

Buckling of extensible thermoelastic rods

J. Cisternas^*, P. Holmes

^*Corresponding author for this work

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

10 Scopus citations

Abstract

We modify the extensible rod theory due to Coleman et al. [1] to include thermal expansion effects. We study the bifurcations of the resulting equilibrium equations under both traction and displacement boundary conditions and find both sub- and supercritical pitchfork bifurcations.

Original language	English
Pages (from-to)	233-243
Number of pages	11
Journal	Mathematical and Computer Modelling
Volume	36
Issue number	3
DOIs	https://doi.org/10.1016/S0895-7177(02)00122-X
State	Published - 16 Aug 2002
Externally published	Yes

Keywords

Bifurcation
Equilibria
Nonlinear
Rods
Thermoelasticity

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10.1016/S0895-7177(02)00122-X

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title = "Buckling of extensible thermoelastic rods",

abstract = "We modify the extensible rod theory due to Coleman et al. [1] to include thermal expansion effects. We study the bifurcations of the resulting equilibrium equations under both traction and displacement boundary conditions and find both sub- and supercritical pitchfork bifurcations.",

keywords = "Bifurcation, Equilibria, Nonlinear, Rods, Thermoelasticity",

author = "J. Cisternas and P. Holmes",

year = "2002",

month = aug,

day = "16",

doi = "10.1016/S0895-7177(02)00122-X",

language = "English",

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pages = "233--243",

journal = "Mathematical and Computer Modelling",

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TY - JOUR

T1 - Buckling of extensible thermoelastic rods

AU - Cisternas, J.

AU - Holmes, P.

PY - 2002/8/16

Y1 - 2002/8/16

N2 - We modify the extensible rod theory due to Coleman et al. [1] to include thermal expansion effects. We study the bifurcations of the resulting equilibrium equations under both traction and displacement boundary conditions and find both sub- and supercritical pitchfork bifurcations.

AB - We modify the extensible rod theory due to Coleman et al. [1] to include thermal expansion effects. We study the bifurcations of the resulting equilibrium equations under both traction and displacement boundary conditions and find both sub- and supercritical pitchfork bifurcations.

KW - Bifurcation

KW - Equilibria

KW - Nonlinear

KW - Rods

KW - Thermoelasticity

UR - http://www.scopus.com/inward/record.url?scp=0037119524&partnerID=8YFLogxK

U2 - 10.1016/S0895-7177(02)00122-X

DO - 10.1016/S0895-7177(02)00122-X

M3 - Article

AN - SCOPUS:0037119524

SN - 0895-7177

VL - 36

SP - 233

EP - 243

JO - Mathematical and Computer Modelling

JF - Mathematical and Computer Modelling

IS - 3

ER -

Buckling of extensible thermoelastic rods

Abstract

Keywords

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