Coupled fracture modes under anti-plane loading
The linear elastic analysis of homogeneous, isotropic cracked bodies is a Twentieth Century development. It was recognised that the crack tip stress field is a singularity, but it was not until the introduction of the essentially two dimensional stress intensity factor concept in 1957 that widespr...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Gruppo Italiano Frattura
2016-07-01
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| Series: | Fracture and Structural Integrity |
| Subjects: | |
| Online Access: | http://www.gruppofrattura.it/pdf/rivista/numero37/numero_37_art_15.pdf |
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| Summary: | The linear elastic analysis of homogeneous, isotropic cracked bodies is a Twentieth Century
development. It was recognised that the crack tip stress field is a singularity, but it was not until the introduction
of the essentially two dimensional stress intensity factor concept in 1957 that widespread application to practical
engineering problems became possible. The existence of three dimensional corner point effects in the vicinity of
a corner point where a crack front intersects a free surface was investigated in the late 1970s: it was found that
modes II and III cannot exist in isolation. The existence of one of these modes always induces the other. An
approximate solution for corner point singularities by Bažant and Estenssoro explained some features of corner
point effects but there were various paradoxes and inconsistencies. In an attempt to explain these a study was
carried out on the coupled in-plane fracture mode induced by a nominal anti-plane (mode III) loading applied
to plates and discs weakened by a straight crack. The results derived from a large bulk of finite element models
showed clearly that Bažant and Estenssoro’s analysis is incomplete. Some of the results of the study are
summarised, together with some recent results for a disc under in-plane shear loading. On the basis of these
results, and a mathematical argument, the results suggest that the stress field in the vicinity of a corner point is
the sum of two singularities: one due to stress intensity factors and the other due to an as yet undetermined
corner point singularity. |
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| ISSN: | 1971-8993 1971-8993 |