Crack analysis using a hybrid numerical manifold method with node-based strain smoothing and double-interpolation

In this paper, a hybrid numerical manifold method with node-based strain smoothing and double-interpolation is proposed for crack analysis and propagation. By introducing an alloca-tion scheme, the empty strain smoothing domain issue encountered in the numerical manifold method framework is avoided, while the flexibility in smooth domain formulation is preserved. Our method's hybrid approach stems from the double-interpolation locally implemented on the tip domain, where strain smoothing becomes cumbersome and costly. High accuracy and continuous nodal stress solutions were achieved in whole domains. The proposed model is validated through several comparisons of analytical and experimental results, and the results obtained for crack analysis and growths are shown to be accurate and efficient.

Automated summary

In this paper, a hybrid numerical manifold method with node-based strain smoothing and double-interpolation is proposed for crack analysis and propagation. The method achieves high accuracy and continuous nodal stress solutions in the entire domain, addressing the issue of empty strain smoothing domain and maintaining flexibility in domain formulation. The proposed model is validated through comparisons of analytical and experimental results, demonstrating accuracy and efficiency in crack analysis and growths.