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The concept of topological crack refers to the application of topological principles to understand the behavior of cracks in materials. Topology is the study of shapes and their properties that are preserved under continuous deformations, such as stretching and bending. In the context of crack propagation, topology can be used to describe the connectivity and genus of the crack surface.

Topological Crack: A Novel Approach to Understanding Crack Propagation topolt crack

Cracks are defects in materials that can lead to catastrophic failures, especially under stress or strain. The study of crack propagation has been a central theme in materials science, with applications in fields such as aerospace engineering, civil engineering, and geophysics. Traditional approaches to understanding crack propagation have relied on linear elastic fracture mechanics (LEFM), which describes the stress field around a crack using the stress intensity factor (K). However, LEFM has limitations, particularly in describing complex crack geometries and non-linear material behavior. The concept of topological crack refers to the