Convergence study on application of the over-deterministic method for determination of near-tip fields in a cracked plate loaded in mixed-mode

Convergence study on application of the over-deterministic method for determination of near-tip fields in a cracked plate loaded in mixed-mode

Peer-reviewed article not indexed in WoS or Scopus

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. 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.

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. 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.

Crack, stress field, displacement field, Williams expansion, higher-order terms, over-deterministic method, quasi-brittle fracture

Crack, stress field, displacement field, Williams expansion, higher-order terms, over-deterministic method, quasi-brittle fracture

ŠESTÁKOVÁ, J.; VESELÝ, V.

2013

03.12.2012

Switzerland

1662-7482

Applied Mechanics and Materials

249-250

1

Swiss Confederation

76

81

6