In some aspects, a graft device can include a biodegradable inner layer, an outer layer, a first end portion, a second end portion, and a lumen therebetween. The biodegradable inner layer typically includes an inner surface and an outer surface. The outer layer typically includes a fiber matrix surrounding the outer surface of the inner layer. The graft device can include a reinforced end portion. At least 10% or at least 50% of the graft device can remain after 90 days of implantation. In some cases, at least 10% or at least 50% of the graft device can remain after 180 days of implantation. The graft device can include a kink-resisting element. The graft device can include at least one layer with a dynamic compliance less than or equal to at least one of: 20%/100 mmHg or 5%/100 mmHg.