Just thought...perhaps I should do the pear tree too.
Made a start on the bean trench by roughly digging over one of the beds, making a trench, lining it with some of the cardboard. (It might have been easier with newspaper, but the tidy person in the household had put all the papers out in the recycling last week, hmph!) I put in raw kitchen waste, phacelia, bean and nasturtiums stalks, any old organic matter which wouldn't re-grow.
I haven't closed the trench yet as the cardboard is very rigid and will probably stick out of the soil, it might be softer after a night on the soil.