The present invention is a distributed piston elastomeric accumulator which stores energy when its elastomeric member stretches from its original length in response to the flow of a pressurized fluid. The stored energy is returned when the fluid flow is reversed and the accumulator discharges the fluid as its elastomeric member returns to its original length and moves the piston to its initial position. At least one part of the novelty of the invention is that the accumulator is not subject to radial strain gradients and the accumulator allows for precise pressure and linear position measurements. Accordingly, the invention allows for optimization of the energy strain storage capacity of a given elastomer.