2014/07/02 by I. V. Andrianov, Andrianov, I. V., A. G. Kolpakov +3
Physics and Astronomy · #35Q70 #Classical Physics (physics.class-ph) #FOS: Physical sciences #msc:35Q70 #physics.class-ph
paper · pdf · doi:10.48550/arxiv.1407.6332
21 pages, 9 figures
arxiv created 2014/07/02 · arxiv updated 2014/07/24
In this paper, a method of local perturbations, previously successfully applied to decompose the problem of elasticity in the system of connected thin rods and beams [Kolpakov and Andrianov, 2013], is used to study the asymptotic behaviour of the elasticity problem in connected thin plates. A complete decomposition of the problem, i.e. the separation of the original problem in to the two-dimensional problem of the theory of plates and local problems is proposed. The local problems describe the three-dimensional stress-strain state in the connected plates and can be solved by numerical methods.