Analysis and modeling crack growth in two-dimensional state in plates with discontinuity using the peri-dynamic theory

The analysis and modeling of dynamic crack growth in bodies and structures is one of the significant issues to to suggest methods to stop cracking or prevent the growth of cracks and sudden fractures, which results in increasing the life of structures. Despite many studies conducted by researchers to model fractures, crack growth, and damage in the body, there are still many problems in modeling fractures, crack growth, and damage in structures with singular points and discontinuities. Without the need for additional relations, the peridynamic theory can be used directly to model crack growth in problems with singular points and discontinuities. In this study, the modeling of dynamic crack growth and the factors affecting crack growth and its branching in bodies are studied using peridynamic theory in LAMMPS software. The obtained results are then validated by the results of other studies.The comparison of the results reveals that peridynamic theory is able to model crack growth and damage in bodies and structures in different structural and loading conditions with very high accuracy, without any change in criteria. According to the obtained results, it can also be stated that the trend of crack propagates and branches in bodies strongly depends on the applied stress values, type of material, fiber direction in composite plates, and presence of inclusion in the body. Therefore, by changing these factors, the path, rate, and other parameters of the crack growth in bodies will change.The analysis and modeling of dynamic crack growth in bodies and structures is one of the significant issues to to suggest methods to stop cracking or prevent the growth of cracks and sudden fractures, which results in increasing the life of structures. Despite many studies conducted by researchers to model fractures, crack growth, and damage in the body, there are still many problems in modeling fractures, crack growth, and damage in structures with singular points and discontinuities. Without the need for additional relations, the peridynamic theory can be used directly to model crack growth in problems with singular points and discontinuities. In this study, the modeling of dynamic crack growth and the factors affecting crack growth and its branching in bodies are studied using peridynamic theory in LAMMPS software. The obtained results are then validated by the results of other studies.The comparison of the results reveals that peridynamic theory is able to model crack growth and damage in bodies and structures in different structural and loading conditions with very high accuracy, without any change in criteria. According to the obtained results, it can also be stated that the trend of crack propagates and branches in bodies strongly depends on the applied stress values, type of material, fiber direction in composite plates, and presence of inclusion in the body. Therefore, by changing these factors, the path, rate, and other parameters of the crack growth in bodies will change.

Keywords:

Crack growth , Bond-based Peri-dynamic theory , Composite plate , Bi-material , Inclusion