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How to Decide Which Cracks Should Be Repaired First: Theoretical Explanation of Empirical Formulas

机译:如何首先确定应该修复哪些裂缝:实证公式的理论解释

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Due to stress, cracks appear in constructions: cracks appear in buildings, bridges, pavements, among other structures. In the long run, cracks need to be repaired. However, our resources are limited, so we need to decide which cracks are more dangerous. To make this decision, we need to be able to predict how different cracks will grow. There are several empirical formulas describing crack growth. In this paper, we show that by using scale invariance, we can provide a theoretical explanation for these empirical formulas. The existence of such an explanation makes us confident that the existing empirical formulas can (and should) be used in the design of the corresponding automatic decision systems.
机译:由于压力,裂缝出现在建筑中:裂缝出现在建筑物,桥梁,路面中的裂缝等结构。从长远来看,需要修复裂缝。但是,我们的资源有限,所以我们需要决定哪些裂缝更危险。为了做出这一决定,我们需要能够预测不同的裂缝如何增长。有几种描述裂缝增长的实证公式。在本文中,我们表明,通过使用规模不变性,我们可以为这些实证公式提供理论解释。这种解释的存在使我们有信心现有的经验公式可以(并且应该)用于相应的自动决策系统的设计。

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