TY - JOUR
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: [email protected]
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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U2 - 10.1080/714050882
DO - 10.1080/714050882
M3 - Article
AN - SCOPUS:0344271820
SN - 0149-5739
VL - 26
SP - 1221
EP - 1228
JO - Journal of Thermal Stresses
JF - Journal of Thermal Stresses
IS - 11-12
ER -