This　paper　first　develops　the　closed-form　solution　of　a　layered　halfspace　subject　to　circular　ring　concentrated　loads.　The　layered　halfspace　consists　of　finite　layers　and　a　lower　halfspace.　All　the　layers　in　the　layered　halfspace　are　homogeneous　and　transversely　isotropic.　Integral　transform　techniques　are　utilized　to　derive　the　solution　in　cylindrical　polar　coordinates.　Then,　the　closed-form　solution　is　used　to　develop　the　numerical　method　of　axisymmetric　distributed　loads　over　circular　areas.　The　numerical　method　involves　integration　along　the　radius　direction　and　discretization　of　a　loading　circular　area　into　one-dimensional　elements.　Finally,　the　elastic　responses　of　non-homogeneous　geomaterial　halfspaces　under　axisymmetric　distributed　loads　over　circular　areas　are　analyzed　in　detail.