Pointwise necessary conditions for energy minimizers are derived in the context of a Cosserat model of fiber-reinforced elastic solids in which the Cosserat rotation field accounts for the kinematics of the embedded fibers, modelled as spatial Kirchho_ rods. The analysis requires careful consideration of constraints associated with the fact that fibers are convected by the continuum deformation field as material curves.
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- Necessary Conditions for Energy Minimizers in a Cosserat Model of Fiber-Reinforced Elastic Solids
David J. Steigmann
- Copyright Year
- Springer International Publishing