Analysis of the Second Mixed Boundary Value Problem for a Thin Plate

[+] Author and Article Information
Norio Hasebe, Takuji Nakamura

Department of Civil Engineering, Nagoya Institute of Technology, Gokiso-cho, Showa-ku, Nagoya 466, Japan

Yoshihiro Ito

Nagoya City Government, Sannomaru 1, Naka-ku, Nagoya 460, Japan

J. Appl. Mech 61(3), 555-559 (Sep 01, 1994) (5 pages) doi:10.1115/1.2901495 History: Received June 11, 1991; Revised August 20, 1993; Online March 31, 2008


The second mixed boundary value problem is solved by the classical theory of thin plate bending. The mixed boundary consists of a boundary (M ) on which one respective component of external force and deflective angle are given, and on the remaining boundary the external forces are given. The boundary (M ) is straight and the remaining boundary is arbitrary configuration. A closed solution is obtained. Complex stress functions and a rational mapping function are used. A half-plane with a crack is analyzed under a concentrated torsional moment. Stress distributions before and after the crack initiation, and stress intensity factors are obtained for from short to long cracks and for some Poisson’s ratio.

Copyright © 1994 by The American Society of Mechanical Engineers
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