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.
- Cosserat planar elasticity
- Stress invariance
ASJC Scopus subject areas
- Mechanics of Materials
- Computational Mechanics
- Physical and Theoretical Chemistry
- Fluid Flow and Transfer Processes