Percussive top-hammer drilling with biconvex force-penetration relation (FPR) is studied. The maximal penetration decreases and the maximal force increases with increasing convexity. With increasing convexity, the maximal efficiency decreases and occurs for shorter hammers. Bit designs that lead to strong convexity are disadvantageous with respect to efficiency. Use of a bilinear approximation of a biconvex FPR leads to accurate prediction of the position of the maximum in efficiency.