Abstract
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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Horgan, C.O., Villaggio, P. A semi-inverse shape optimization problem in linear anti-plane shear. J Elasticity 45, 53–60 (1996). https://doi.org/10.1007/BF00042470
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DOI: https://doi.org/10.1007/BF00042470