How thick is the soil on top of the
wood? If there isn't
enough soil, the
roots may not have enough purchase.
How tall are the plants when they fall over? Some of the more vigorous brassicas can get pretty top-heavy and need staking to keep from tipping over, especially if the soil is rich. On a steep slope like a
hugelkultur bed, that tipping might be enough to make them fall down.
You could try staking individual plants, or putting in some heavy duty stakes at either end of the bed and running twine or wire to support them, like a
trellis.