Stress and strain fields at the tip of a sharp V-notch in a power-hardening material

✍ Scribed by Zhen-Bang Kuang; Xiao-Peng Xu

• Publisher: Springer Netherlands
• Year: 1987
• Tongue: English
• Weight: 522 KB
• Volume: 35
• Category: Article
• ISSN: 1573-2673
• DOI: 10.1007/bf00034533

✦ Synopsis

The stress and strain fields at the tip of a sharp V-notch in a power hardening material are researched in this paper. It is found that the singularity of strain energy density at the tip is first slightly decreased and then increased when the hardening exponent n increases if the notch angle is not too large, It is also found that the singularity of strain energy density at the tip is nearly the same when n ~< 40 and/3 ~< 45 ° for fixed ft. The analytical formula of the strain field at the tip for an ideal plastic material is found. The difference in the distribution of circumferential stresses ao for various n isn't large when the notch angle 2fl is fixed; but the distribution of the radial stresses ar for different n is significantly different.