Based on sale method ( simplified ale , in which the mesh may move with arbitrarily prescribed velocity with respected to the fluid , and lagrange interfaces are maintained between cells containing different material . ) , the line loop integral difference scheme is derived which can be used to calculate two - dimensional elastic - plastic flow 并在sale ( simplifiedale ，一种简化的ale方法，网格可以任意运动，但物质界面处的网格仍然以物质速度运动，物质界面始终为lagrange网格线以保证网格中只有单物质出现)方法框架下，推导并给出了适用于弹塑性流计算的ale线积分差分格式。
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