Abstract
Non-classical integral equations for Laplace's equations, which give increased accuracy in numerical calculations, are employed to solve Saint-Venant's problem (the torsion and bending of a cylindrical rod by a force) and the problem of antiplane deformation. It is shown that for a unique determination of the solution of the initial problem in the case of multiply connected regions, the equations must be solved simultaneously with additional conditions, the number of which is determined by the connectedness of the region. The integral equations are solved analytically for certain specific regions: an infinite strip, a circle and a circular ring.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: 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.
