  Fundamental solutions for two- and three-dimensional linear isotropic
size-dependent couple stress elasticity are derived, based upon the
decomposition of displacement fields into dilatational and solenoidal
components. While several fundamental solutions have appeared previously in the
literature, the present version is for the newly developed fully determinate
couple stress theory. Within this theory, the couple stress tensor is
skewsymmetrical and thus possesses vectorial character. The present derivation
provides solutions for infinite domains of elastic materials under the
influence of unit concentrated forces and couples. Unlike all previous work,
unique solutions for displacements, rotations, force-stresses and
couple-stresses are established, along with the corresponding force-tractions
and couple-tractions. These fundamental solutions are central in analysis
methods based on Green's functions for infinite domains and are required as
kernels in the corresponding boundary integral formulations for size-dependent
couple stress elastic materials.
