Asymptotic spatial behaviour in linearised thermoelasticity for non-compact regions

R. J. Knops; R. Quintanilla

doi:10.1016/j.ijnonlinmec.2024.104826

Asymptotic spatial behaviour in linearised thermoelasticity for non-compact regions

R. J. Knops, R. Quintanilla

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Abstract

A quasi-static approximation is studied of linearised nonhomogeneous anisotropic compressible thermoelasticity on a non-compact region. Differential inequalities are constructed which under appropriate conditions lead to algebraic spatial growth and decay estimates for various cross-sectional and volume measures of the temperature, displacement and their spatial gradients.

Original language	English
Article number	104826
Journal	International Journal of Non-Linear Mechanics
Volume	166
Early online date	5 Jul 2024
DOIs	https://doi.org/10.1016/j.ijnonlinmec.2024.104826
Publication status	Published - Nov 2024

Keywords

Linearised anisotropic thermoelasticity
Non-compact regions
Spatial behaviour
Volume and spherical cross-sectional measures

ASJC Scopus subject areas

Mechanics of Materials
Mechanical Engineering
Applied Mathematics

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title = "Asymptotic spatial behaviour in linearised thermoelasticity for non-compact regions",

abstract = "A quasi-static approximation is studied of linearised nonhomogeneous anisotropic compressible thermoelasticity on a non-compact region. Differential inequalities are constructed which under appropriate conditions lead to algebraic spatial growth and decay estimates for various cross-sectional and volume measures of the temperature, displacement and their spatial gradients.",

keywords = "Linearised anisotropic thermoelasticity, Non-compact regions, Spatial behaviour, Volume and spherical cross-sectional measures",

author = "Knops, \{R. J.\} and R. Quintanilla",

year = "2024",

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doi = "10.1016/j.ijnonlinmec.2024.104826",

language = "English",

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journal = "International Journal of Non-Linear Mechanics",

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T1 - Asymptotic spatial behaviour in linearised thermoelasticity for non-compact regions

AU - Knops, R. J.

AU - Quintanilla, R.

PY - 2024/11

Y1 - 2024/11

N2 - A quasi-static approximation is studied of linearised nonhomogeneous anisotropic compressible thermoelasticity on a non-compact region. Differential inequalities are constructed which under appropriate conditions lead to algebraic spatial growth and decay estimates for various cross-sectional and volume measures of the temperature, displacement and their spatial gradients.

AB - A quasi-static approximation is studied of linearised nonhomogeneous anisotropic compressible thermoelasticity on a non-compact region. Differential inequalities are constructed which under appropriate conditions lead to algebraic spatial growth and decay estimates for various cross-sectional and volume measures of the temperature, displacement and their spatial gradients.

KW - Linearised anisotropic thermoelasticity

KW - Non-compact regions

KW - Spatial behaviour

KW - Volume and spherical cross-sectional measures

UR - https://www.scopus.com/pages/publications/85198572827

U2 - 10.1016/j.ijnonlinmec.2024.104826

DO - 10.1016/j.ijnonlinmec.2024.104826

M3 - Article

SN - 0020-7462

VL - 166

JO - International Journal of Non-Linear Mechanics

JF - International Journal of Non-Linear Mechanics

M1 - 104826

ER -

Asymptotic spatial behaviour in linearised thermoelasticity for non-compact regions

Abstract

Keywords

ASJC Scopus subject areas

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