Autumn rasps are cut down once they have fruited over the winter. Growth should start in the spring.
I would have expected growth by now....in fact I would be expecting to thin out the autumn canes just now.
Were the rasp canes bought from a nursery?
I'm wondering if its root rot but then the summer fruiting ones would have succumbed to that too.
Could you shed a little more info on the matter e.g. site, previous crop/plants in area, anything applied to the canes - fert, compost?