# On admissible steady-state regimes of crack propagation in a square-cell lattice

## TL;DR

This paper investigates steady-state crack propagation in an anisotropic square-cell lattice, revealing conditions under which stationary crack growth is impossible and exploring low-velocity crack propagation scenarios.

## Contribution

It provides new insights into the conditions affecting admissible steady-state crack propagation in anisotropic lattices, including the impact of property contrasts.

## Key findings

- Stationary crack propagation is impossible for certain property contrasts.
- Conditions for admissible steady-state crack growth are identified.
- Analysis of crack propagation at low velocities is conducted.

## Abstract

In the present work the authors revisit a classical problem of crack propagation in a lattice. Authors investigate the questions concerning possible admissible steady-state crack propagations in an anisotropic lattice. It was found that for certain values of contrast in elastic and strength properties of a lattice the stationary crack propagation is impossible. Authors also address a question of possible crack propagation at low velocity.