Phases of an Attack
Not every attack ends in mate in under 30 moves. Some attacks go through phases, where goals are accomplished in parts and acheiving one goal leads to the creation of a new goal. This pattern may be repeated several times in one game. And tactics are the tools used to acheive goals. The following game has many phases of the attack, which does not end in mate, but rather an endgame in which White reaps the rewards of the goals he acheived througout the game.
Although White played a sharp opening line, he did not acheive a quick knockout. But he never let up on Black's king and kept coming after it in phase after phase. Along the way, even though Black avoided mate, White piled up advantages (an extra rook), which he used to win the endgame. So while a mating attack that leads to mate is nice, a relentless attack in phases, each phase forcing some concessions from your opponent, can lead to just as satisfying a win.