Bioabsorbable scaffolds made at least in part of a poly(L-lactide)-based composite are disclosed. The composite includes poly(4-hydroxybutyrate) or poly(L-lactide)-b-polycaprolactone block copolymer, which increases the fracture toughness or fracture resistance of the scaffold. The composite can further include bioceramic particles, L-lactide monomer, or both dispersed throughout the composite. The bioceramic particles improve the radial strength and stiffness of the scaffold. The L-lactide monomer is used to control the absorption rate of the scaffold.