Exact solution of explosion problem cannot be achieved in most cases because of its strong non- linearity. And data gained from experiments are very limited because explosion is a strong physical course finished in short duration. Simulation of explosion mechanics and related research has greatly promoted rapid development of both explosion mechanics and weaponry. This paper mainly reviews on explosion mechanics, dynamic constitutive model of material and related engineering applications.%爆炸问题由于其强烈的非线性，绝大多数情况下不可能给出精确解，并且爆炸在极短的时间内完成强烈的物理过程，能通过实验获得的数据也有限．爆炸力学数值模拟及相关研究领域的工作极大地推动了爆炸力学学科以及武器装备的发展，本文主要对爆炸力学数值方法、材料动态本构模型以及相关工程应用进行评述．
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