The structure of stress and strain fields at the border of three dimensional cracks in a tension field is investigated for elastoplastic materials treated by a deformation theory. The investigation is based upon the physics of the problem and is conducted with mathematical rigour. It is found that t
Elastoplastic three dimensional crack border field—II. Asymptotic solution for the field
✍ Scribed by Wanlin Guo
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 668 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0013-7944
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✦ Synopsis
The distributions of crack border stresses and strains in strain hardening materials under a triaxial stress constmint Tz E [O, OS] are studied. It is found that at 7" = 0 and 0.5, the sin~la~ty of stresses is most serious and coincident with the HRR solution. When 0~ Tz ~0.5, however, the singularity and angular distributions of the field change with Tz. It is shown clearly that in the layers near the free surface the variation of the singularity of stresses is strongest. Finally, theoretical investigation of the characterization of the 3D crack border field is made and it is proved that single parameter dominance is lost and a two parameter system including Tz should be adopted to describe the 3D crack border field.
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