Abstract
The influence of compressibility on the stress and deformation fields near the tip of a mode I dynamic crack growing steadily in an elastic-perfectly-plastic material under plane strain conditions is studied. The material is characterized by the von Mises yield criterion and J 2 flow theory of plasticity. This solution has the properties that the angular variation of stress and particle velocity around the crack tip is continuous, and the stress and strain are bounded at the crack tip. It is found that a parameter θ 0, which can not be determined by asymptotic analysis, may characterize the effect of the far field. When the material is nearly incompressible, a perturbation solution in the small parameter ϵ = 1 2 − v (v is Poisson's ratio) is constructed. As ϵ → 0, the solution tends to that for the incompressible case obtained by Leighton et al. (1987). Asymptotic analysis of steady dynamic crack growth in an elastic-plastic material. J. Mech. Phys. Solids 35, 541–563.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.