𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Torsion problem of rectangular cross section bar with inner crack

✍ Scribed by Y.Z. Chen

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
343 KB
Volume
162
Category
Article
ISSN
0045-7825

No coin nor oath required. For personal study only.

✦ Synopsis

The torsion problem of a rectangular cross section bar with inner crack is studied in this paper. The boundary value problem is reduced to the solution of a modified Dirichlet problem. The modified Dirichlet problem is converted into the solution of two Dirichlet problems of Laplace equation, The finite difference method is suggested to solve the problem. Finally, the torsion rigidity coefficient can be evaluated numerically. The inverse of the torsion rigidity coefficient is called the compliance coefficient. With the knowledge of the compliance coefficient, the stress intensity factor can be evaluated. Numerical examples are given to demonstrate the use of the proposed method.

πŸ“œ SIMILAR VOLUMES

Saint-Venant torsion of orthotropic bars
Saint-Venant torsion of orthotropic bars with inhomogeneous rectangular cross section
✍ Xu Rongqiao; He Jiansheng; Chen Weiqiu πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 1023 KB

This work presents an exact solution of the Saint-Venant torsion of a straight bar with an orthotropic and inhomogeneous rectangular cross section whose material properties obey the exponential law in one direction. An approximate solution is also obtained for the material properties being arbitrari

Solution of torsion crack problem of an
Solution of torsion crack problem of an orthotropic rectangular bar by using computing compliance method
✍ CHEN, Y. Z. ;LIN, X. Y. ;CHEN, R. S. πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 144 KB πŸ‘ 1 views

For a cracked orthotropic torsion bar, the torsion compliance C is evaluated numerically in this paper. The dependence of the compliance C with respect to the crack length A will give the stress intensity factor at the crack tip. Numerical examples are given to demonstrate the inΒ―uence of the elasti

Third stress intensity factors of torsio
Third stress intensity factors of torsion crack bar with ring sections
✍ Yi-Zhou Chen; Yi-Heng Chen πŸ“‚ Article πŸ“… 1983 πŸ› Elsevier Science 🌐 English βš– 494 KB

Torsion crack problems of a bar with ring sections are discussed. The procedure utilized consists of the following steps: (1) Using the partitioning plan and conformal mapping technique, (2) Using the harmonic function continuation technique, (3) Using the compliance method. The single-valued condit