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On the sign of the internal stresses in a problem of plane elasticity

โœ Scribed by Stefano Bennati; Silvia Degl'innocenti; Cristina Padovani


Publisher
Springer Netherlands
Year
1993
Tongue
English
Weight
688 KB
Volume
32
Category
Article
ISSN
0374-3535

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โœฆ Synopsis


An elastic plane body, shaped like a circular ring or a disk, is subjected to radial surface forces varying according to a sinusoidal law. The existence of a tensile region included in a purely compressive one is proven and its asymptotic behaviour studied when the surface forces converge to two concentrated loads acting along the same diameter. The results show that any maximum principle for the principal stress components would require conditions stronger than the simple negativity of both on the boundary of the domain.


๐Ÿ“œ SIMILAR VOLUMES


On the stress singularities in the plane
โœ J. P. Dempsey; G. B. Sinclair ๐Ÿ“‚ Article ๐Ÿ“… 1979 ๐Ÿ› Springer Netherlands ๐ŸŒ English โš– 997 KB

This paper examines the composite, two-dimensional, linear elastic wedge for singular stresses at its vertex. A full range of wedge boundary and matching conditions is considered. Using separation of variables on the Airy stress function, the usual determinant conditions for singularities of the for