How the amount of cracks and potholes grows with time: Symmetry-based explanation of empirical dependencies | Zendy

Edgar Daniel Rodriguez Velasquez | Zendy; Olga Kosheleva | Zendy; Владик Крейнович | Zendy

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How the amount of cracks and potholes grows with time: Symmetry-based explanation of empirical dependencies

Author(s) -

Edgar Daniel Rodriguez Velasquez,

Olga Kosheleva,

Владик Крейнович

Publication year - 2020

Publication title -

aip conference proceedings

Language(s) - English

Resource type - Conference proceedings

SCImago Journal Rank - 0.177

H-Index - 75

eISSN - 1551-7616

pISSN - 0094-243X

DOI - 10.1063/5.0030832

Subject(s) - symmetry (geometry) , homogeneous space , point (geometry) , exponential function , unit (ring theory) , computer science , mathematics , statistical physics , mathematical analysis , physics , geometry , mathematics education

Empirical double-exponential formulas are known that describe how the amount of cracks and potholes in a pavement grows with time. In this paper, we show that these formulas can be explained based on natural symmetries (invariances) – such as invariance with respect to changing the measuring unit or invariance with respect to changing a starting point for measuring time. 1 How the Amount of Cracks and Potholes Grows with Time: Empirical Formulas Cracks and potholes. When a road is built, it is almost perfect – it has only miniature cracks and potholes, not worthy of these names. However, as the road is used, cracks and potholes appear and start growing. How transportation engineers usually gauge the amount of cracks and potholes. The amount of cracks is usually gauged the overall length C of the

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