I was just reading this morning LP on amending soil and for Clay Soils - it says to use Canadian Sphagnum Peat Moss (not regular peat moss) and Compost. Clay soil is high in nutrients with the downside that it does not drain well.
Regarding the addition of sand it says:
......if you are working with Clay, the addition of a little bit of sand will make matters worse, 30% or more by volume would be needed of very course sand to improve the soil.
Sphagnum Peat Moss:
......Canadian sphagnum peat moss is excellent for improving aeration of clay soils to increase drainage. It is sterile and weed free. When used in combination with Compost it helps reduce compaction that sometimes occur when compost is used alone.
Hopefully this will help a bit.
Where is 14k she is the gardener