Une résolution des minimax discrets appliquée au calcul à la rupture

Sylvain Turgeman, Mohamed Guessasma
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Abstract

The static extreme-load approach, under certain conditions, appears to be the solution of an unconstrained discrete minimax problem. It is shown that it is possible to eliminate the operator Max in this problem. The subsequent problem involves minimizing a regularized function without constraints. An application to the determination of the macroscopic strength of a punched material exhibits the efficiency of this method.

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应用于断裂计算的离散最小极大值解析
在一定条件下,静态极限荷载方法似乎是一个无约束离散极大极小问题的解。结果表明,在该问题中可以消除算子Max。接下来的问题涉及到最小化一个没有约束的正则函数。对冲孔材料宏观强度的测定表明了该方法的有效性。
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