A platen assembly positionable opposite a pumping mechanism of an infusion pump has a first platen member rotatably coupled to the pump to pivot about a first hinge axis and a second platen member rotatably coupled to the first platen member to pivot about a second hinge axis different from the first hinge axis. When the platen assembly is in a pump operating position, respective platen surfaces of the platen members follow a single surface profile, for example an arcuate surface profile in the case of a curvilinear peristaltic pump. The platen assembly may have a damage-tolerant design including a plurality of alignment counter-features arranged to mate with corresponding alignment features on the pump, wherein the platen assembly may still close after the pump is dropped or damaged only if resulting deformation of the platen assembly is within an allowable tolerance for safe pumping.