𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The contact problem for a piecewise-homogeneous plane with a finite inclusion

✍ Scribed by R.D. Bantsuri; N.N. Shavlakadze

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
259 KB
Volume
75
Category
Article
ISSN
0021-8928

No coin nor oath required. For personal study only.

✦ Synopsis

A piecewise-homogeneous elastic orthotropic plate, reinforced with a finite inclusion, which meets the interface at a right angle and is loaded with shear forces, is considered. The contact stresses along the contact line are determined, and the behaviour of the contact stresses in the neighbourhood of singular points is established. By using the methods of the theory of analytic functions, the problem is reduced to a singular integro-differential equation in a finite section. Using an integral transformation, a Riemann problem is obtained, the solution of which is presented in explicit form.

πŸ“œ SIMILAR VOLUMES

The contact problem for a piecewise-homo
The contact problem for a piecewise-homogeneous plane with a semi-infinite inclusion
✍ R.D. Bantsuri; N.N. Shavlakadze πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 332 KB

A piecewise-homogenous elastic plate, reinforced with a semi-infinite inclusion, which intersects the interface at a right angle and is loaded with shear forces is considered. The contact stresses along the contact line are determined and the behaviour of the contact stresses in the neighbourhood of

The Prandtl integrodifferential equation
The Prandtl integrodifferential equation and the contact problem for a piecewise homogeneous plate
✍ V.V. Sil’vestrov; A.V. Smirnov πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 545 KB

An inhomogeneous Prandtl singular integrodifferential equation on a number axis with a coefficient that takes different complex values on the positive and negative semiaxes is considered. The problem of reinforcing a piecewise homogeneous elastic plate by two semi-infinite stringers of different sti