Furthermore, we have proved that the null space of the linear operator of Piola-Kirchhoff stress history functional is the direct sum of the null space of linear operators for 6-D vector subspace N, and N,. Here we can naturally classify the fracture of isotropic material with memory into two types.
An energy release rate criterion for mixed mode fracture
β Scribed by R. J. Nuismer
- Publisher
- Springer Netherlands
- Year
- 1975
- Tongue
- English
- Weight
- 384 KB
- Volume
- 11
- Category
- Article
- ISSN
- 1573-2673
No coin nor oath required. For personal study only.
β¦ Synopsis
The initial energy release rate for a branch crack propagating at an arbitrary angle from an existing crack tip is obtained in a simple fashion and in closed form by using a continuity assumption. It is then postulated that the branch crack propagates in the direction which causes the energy release rate to be a maximum and that initiation occurs when the value of this release rate reaches a critical value. It is shown that these postulates yield results identical to the maximum stress theory, since the direction in which the maximum circumferential stress occurs is also the direction causing the maximum energy release rate.
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