Affix the broken piece if the piece is still attached to the particle board then dry fit it first to determine how well it will sit.
Fix cabinet door hinge particle board epoxy.
The dowel then carries the thread stress and not the cabinet.
Use wooden toothpicks to fill.
Taking a couple of wooden tooth picks in hand dip them in the bondo.
And it will hold for a long time.
Apply an epoxy bonding agent to the inner edges of the hole.
The bonding agent acts as a bridge between the particle board and the epoxy putty ensuring adhesion.
1 mix the two part epoxy filler thoroughly together.
Continue to fill the hole with toothpicks and the filler until nothing else will fit into the hole.
Then glue the wood dowel in cut it off flush and once dried drill your new hole for the hardware again in the new wooden dowel.
You drill the striped screw hole out to allow a properly size wood dowel to be inserted.
Wait several minutes for the wood glue to get tacky and press the piece in place.
Transfer a small amount of polyester resin auto body filler or epoxy wood filler to a flat surface.
Mix it with hardener in the manufacturer s recommended proportion.