On the reduction of constants in planar cosserat elasticity with eigenstrains and eigencurvatures

Iwona Jasiuk; Martin Ostoja-Starzewski

doi:10.1080/714050882

On the reduction of constants in planar cosserat elasticity with eigenstrains and eigencurvatures

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Abstract

We study the reduced parameter dependence in linear plane Cosserat elasticity with eigenstrains and eigencurvatures. The focus is on singly connected inhomogeneous materials. We find conditions on the eigenstrains and eigencurvatures for the planar stress field to be invariant under a shift in area Cosserat compliances. The analysis can be extended to multiply connected inhomogeneous or multiphase materials. The special case is linear planar uncoupled micropolar thermoelasticity where eigenstrains represent the product of thermal expansion and temperature change.

Original language	English (US)
Pages (from-to)	1221-1228
Number of pages	8
Journal	Journal of Thermal Stresses
Volume	26
Issue number	11-12
DOIs	https://doi.org/10.1080/714050882
State	Published - 2003
Externally published	Yes

Keywords

Cosserat planar elasticity
Eigencurvatures
Eigenstrains
Stress invariance

ASJC Scopus subject areas

Mechanics of Materials
Computational Mechanics
Physical and Theoretical Chemistry
Fluid Flow and Transfer Processes

Online availability

10.1080/714050882

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title = "On the reduction of constants in planar cosserat elasticity with eigenstrains and eigencurvatures",

abstract = "We study the reduced parameter dependence in linear plane Cosserat elasticity with eigenstrains and eigencurvatures. The focus is on singly connected inhomogeneous materials. We find conditions on the eigenstrains and eigencurvatures for the planar stress field to be invariant under a shift in area Cosserat compliances. The analysis can be extended to multiply connected inhomogeneous or multiphase materials. The special case is linear planar uncoupled micropolar thermoelasticity where eigenstrains represent the product of thermal expansion and temperature change.",

keywords = "Cosserat planar elasticity, Eigencurvatures, Eigenstrains, Stress invariance",

author = "Iwona Jasiuk and Martin Ostoja-Starzewski",

note = "Funding Information: Communicated by J{\'o}zef Ignaczak on May 30, 2003. Presented at the Symposium dedicated to Richard B. Hetnarski at the Fifth International Congress on Thermal Stresses, Thermal Stresses 2003, Blacksburg, Virginia, June 8–11, 2003. I. Jasiuk gratefully acknowledges the support of the National Science Foundation through the grant CMS-0085137. The work of M. Ostoja-Starzewski was made possible by support from the NSERC and the Canada Research Chairs Program. Address correspondence to Martin Ostoja-Starzewski, Department of Mechanical Engineering, McGill University, 817 Sherbrooke Street West, Montr{\'e}al, Qu{\'e}bec H3A 2K6, Canada. E-mail: martin.ostoja@mcgill.ca",

year = "2003",

doi = "10.1080/714050882",

language = "English (US)",

volume = "26",

pages = "1221--1228",

journal = "Journal of Thermal Stresses",

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T1 - On the reduction of constants in planar cosserat elasticity with eigenstrains and eigencurvatures

AU - Jasiuk, Iwona

AU - Ostoja-Starzewski, Martin

N1 - Funding Information: Communicated by Józef Ignaczak on May 30, 2003. Presented at the Symposium dedicated to Richard B. Hetnarski at the Fifth International Congress on Thermal Stresses, Thermal Stresses 2003, Blacksburg, Virginia, June 8–11, 2003. I. Jasiuk gratefully acknowledges the support of the National Science Foundation through the grant CMS-0085137. The work of M. Ostoja-Starzewski was made possible by support from the NSERC and the Canada Research Chairs Program. Address correspondence to Martin Ostoja-Starzewski, Department of Mechanical Engineering, McGill University, 817 Sherbrooke Street West, Montréal, Québec H3A 2K6, Canada. E-mail: martin.ostoja@mcgill.ca

PY - 2003

Y1 - 2003

N2 - We study the reduced parameter dependence in linear plane Cosserat elasticity with eigenstrains and eigencurvatures. The focus is on singly connected inhomogeneous materials. We find conditions on the eigenstrains and eigencurvatures for the planar stress field to be invariant under a shift in area Cosserat compliances. The analysis can be extended to multiply connected inhomogeneous or multiphase materials. The special case is linear planar uncoupled micropolar thermoelasticity where eigenstrains represent the product of thermal expansion and temperature change.

AB - We study the reduced parameter dependence in linear plane Cosserat elasticity with eigenstrains and eigencurvatures. The focus is on singly connected inhomogeneous materials. We find conditions on the eigenstrains and eigencurvatures for the planar stress field to be invariant under a shift in area Cosserat compliances. The analysis can be extended to multiply connected inhomogeneous or multiphase materials. The special case is linear planar uncoupled micropolar thermoelasticity where eigenstrains represent the product of thermal expansion and temperature change.

KW - Cosserat planar elasticity

KW - Eigencurvatures

KW - Eigenstrains

KW - Stress invariance

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On the reduction of constants in planar cosserat elasticity with eigenstrains and eigencurvatures

Abstract

Keywords

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