Journal
JOURNAL OF THERMAL STRESSES
Volume 26, Issue 11-12, Pages 1221-1228Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/714050882
Keywords
Cosserat planar elasticity; eigencurvatures; eigenstrains; stress invariance
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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.
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