✦ LIBER ✦

A semi-inverse shape optimization problem in linear anti-plane shear

✍ Scribed by C. O. Horgan; P. Villaggio

Publisher: Springer Netherlands
Year: 1996
Tongue: English
Weight: 389 KB
Volume: 45
Category: Article
ISSN: 0374-3535
DOI: 10.1007/bf00042470

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✦ Synopsis

The design of a semi-infinite fillet for efficient stress transmission is considered. The problem is treated within the context of anti-plane shear deformations of a homogeneous, isotropic, linearly elastic solid. Under a remote state of simple shear, it is desired to determine the shape of the traction-free lateral boundaries of a symmetric plane domain so that the shear stress distribution on the finite end is as uniform as possible. A semi-inverse approach for a particular class of semi-infinite profiles is used to examine this issue.

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