Solution for the stress and displacement fields in the vicinity of a V-notch of negative wedge angle in plane problems of elasticity

✍ Scribed by Andrzej Seweryn; Janislaw Zwoliński

• Publisher: Elsevier Science
• Year: 1993
• Tongue: English
• Weight: 508 KB
• Volume: 44
• Category: Article
• ISSN: 0013-7944
• DOI: 10.1016/0013-7944(93)90052-t

✦ Synopsis

Abatraet-The method is presented of modeling displacement, strain and stress fields in the twodimensional problems of elasticity considering the presence of V-shaped notches with any positive or negative angle. The analytical expressions for stress and strain states at the tip of a V-notch were obtained for two cases of deformation: opening (mode I) and sliding (mode II). This was achieved assuming the appropriate Airy function in polar coordinates with an origin at the notch tip. A new definition of the stress intensity factors was proposed. The analytical predictions were compared with the numerical results obtained using the finite element method. Finite elements with linear-stress distribution and finite elements with asymptotic-stress distribution were used in the mesh idealization.