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Exact solution to the structural instability of a parallel array of mutually attracting identical simply-supported plates

Wang X., Liu L.

Archives of Mechanics

2017

Vol. 69, nr 3

243--256

By means of the theory of elasticity, we investigate the structural instability of a parallel array of identical simply-supported plates. One plate interacts with the neighboring plates through surface attractive forces. The proposed method is based on the 2 × 2 transfer matrix for a plate and on the solution of the generalized eigenvalue problem for the plate array. Analytical expressions of the critical interaction coefficients for two, three and four interacting plates are obtained when the end-effect of the plates at the ends of the parallel array and the surface energy of the plates are ignored. The influence of the end-effect and surface energy on the critical interaction coefficient is also numerically studied. Our solution is valid whether the plates are thin or extremely thick.

The hydrogenation process of the Gd3Ni compound

Tristan N. V., Palewski T., Drulis H., Folcik L., Nikitin S. A.

Materials Science

2003

Vol. 21, No. 3

357-361

Reaction of intermetallic Gd3Ni with hydrogen and transformation of the crystal structure depending on hydrogen concentration is investigated. It is shown that Gd3Ni belongs to the group of intermetallic compounds which are thermodynamically unstable during hydrogenation and undergo a decomposition into the rare earth hydride and the transition metal. Nickel plays a role of the catalyst in the reaction and supports the formation of GdH3 at low temperatures.