硬着头皮 [- zhe tóu pí]brace [force] oneself to do sth. (against one's will); braving all rebuffs; put a bold face on it; summon up courage; toughen one's scalp:
•¶硬着头皮把这本书读完 brace oneself and read the book through
•¶硬着头皮顶住 brace oneself and bear it; hold out tenaciously