  A state-based micropolar peridynamic theory for linear elastic solids is
proposed. The main motivation is to introduce additional micro-rotational
degrees of freedom to each material point and thus naturally bring in the
physically relevant material length scale parameters into peridynamics.
Non-ordinary type modeling via constitutive correspondence is adopted here to
define the micropolar peridynamic material. Along with a general three
dimensional model, homogenized one dimensional Timoshenko type beam models for
both the proposed micropolar and the standard non-polar peridynamic variants
are derived. The efficacy of the proposed models in analyzing continua with
length scale effects is established via numerical simulations of a few beam and
plane-stress problems.
