A unified solution approach for a large variety of antiplane shear and torsion notch problems: Theory and examples

详细信息    查看全文

• 作者：Marco Salviato^a ; ^{salviato@aa.washington.edu" class="auth_mail" title="E-mail the corresponding author} ; Michele Zappalorto^b ; ^{michele.zappalorto@unipd.it" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Antiplane shear ; Torsion ; Notch ; Stress distributions
• 刊名：International Journal of Solids and Structures
• 出版年：2016
• 出版时间：15 December 2016
• 年：2016
• 卷：102-103
• 期：Complete
• 页码：10-20
• 全文大小：1610 K

文摘

In this work, a unified solution approach is proposed for the analytical evaluation of the stress fields close to notches under antiplane shear and torsion loadings, which allows a large variety of notch problems to be tackled. The method is based on the complex potential approach for antiplane elasticity combined with the use of proper conformal mappings. In particular, it is shown that a well defined analytical link does exist between the complex potential to be used to determine stresses and the first derivative of the conformal mapping used to mathematically describe the notch profile. This makes some methodologies such as Schwarz-Christoffel transformation, which allows describing any polygonal domain automatically, very attractive for the direct solution of notch problems. A bulk of solutions are provided to support this finding, from cracks and pointed notches, to radiused notches. In addition, the accuracy of each proposed solution is discussed in detail taking advantage of a bulk of results from FE analyses.