Convergence Study on Application of the Over-Deterministic Method for Determination of Near-Tip Fields in a Cracked Plate Loaded in Mixed-Mode

Abstract:

Multi-parameter description of crack behavior in quasi-brittle materials offers still enough space for investigations. Several studies have been carried out by the authors in this field [1-3]. One part of the publications by the authors (this work included) contain analyses of the accuracy, convergence and/or tuning of the over-deterministic method that enables determination of the coefficients of the higher-order terms in Williams expansion approximating the stress and displacement fields in a cracked body without any complicated FE formulations. These intermediate studies should bring together a list of recommendations how to use the ODM as effectively as possible and obtain reliable enough values of coefficients of the higher-order terms. Thus, the stress/displacement field can be determined precisely even in a larger distance from the crack tip, which is crucial for assessment of the fracture occurring in quasi-brittle materials.

• Periodical: Applied Mechanics and Materials (Volumes 249-250)
• Pages: 76-81
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.249-250.76
• Online since: December 2012
• Authors: Lucie Šestáková, Václav Veselý
• Keywords: Crack, Displacement Field, Higher-Order Terms, Over-Deterministic Method, Quasi-Brittle Fracture, Stress Field, Williams Expansion

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