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

Authors

Edgar Daniel Rodriguez Velasquez, University of Texas at El PasoFollow
Olga Kosheleva, University of Texas at El PasoFollow
Vladik Kreinovich, University of Texas at El PasoFollow

Publication Date

7-2020

Comments

Technical Report: UTEP-CS-20-82b

Originally appeared as: Crack Growth: Theoretical Explanation of Empirical Formulas

Abstract

Due to stress, cracks appear in constructions: cracks appear in buildings, bridges, pavements, among other structures, cracks appear in pavements, etc. In the long run, cracks need to be repaired. However, our resources are limited, so we need to decide which cracks are more dangerous. For this, 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.