Influence of non degenerated joint on the global and local behavior of joined plates

We consider a three-dimensional transport problem (thermoconductivity, diffusion, etc.) in joined thin plates under condition that the characteristic dimension of the joint is comparable with the thickness of the plates and that the joint is made of a material with transport properties similar to the transport properties of materials of the plates (such joint is referred to as a non-degenerated joint). We expand the technique of local perturbation, developed earlier in Gaudiello and Kolpakov (2011) for beams, to plates with non-degenerated joints. Since joints between plates have more complex structure than joints between beams, the modification of the method for plates is a non-trivial task.

► We study asymptotic of transport problem in joined 3-D thin domains (plates). ► The problem is decomposed into 2-D plate model and local 3-D problems for the joints. ► The local problems are independent and involves solution of 2-D problem as parameters.