Abstract
The problem of the torsion of an elastic space, weakened by a spherical crack, is reduced to a system of paired summation equations in first-order associated Legendre functions. It is assumed that the load, applied to the crack surface, can also be represented in the form of a series in associated Legendre functions. Using special differential operators, this system is reduced to permitting an exact elementary solution of a system of equations in Legendre polynomials. Two examples are given. The solution is compared with a known result in the literature. The problem of the effect of curvature of the surface on the stress intensity factor is investigated.
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.