RESUMEN
In this paper, the shear modulus based equivalent homogenization methods of multi-layer BCC (body-centered cubic) lattice sandwich structures have been studied using analytical, experimental, and finite element methods. In the analytical approach, the multiple strut-deformation patterns were introduced in the derivations of the shear modulus based on Euler-Bernoulli beam theory and Timoshenko beam theory according to different boundary conditions. The analytical shear modulus of three types of rectangle shaped sandwich BCC lattice structures was derived. Finite element models of the BCC lattice structures by ANSYS were conducted to estimate the analytical solutions. Butterfly style sandwich BCC lattice structures were printed by SLM technology using 304 stainless steel (06Cr19Ni10), and corresponding shear experiments using modified Arcan Rig experimental devices were conducted to validate the analytical and numerical calculations. Good agreements were observed among the analytical, numerical, and experimental results.
RESUMEN
An efficient and environmentally benign electrochemical oxidative radical C-H sulfonylation of arenes/heteroarenes was developed in this work. A series of significant diarylsulfones were prepared under mild catalyst- and exogenous-oxidant-free reaction conditions, which efficiently avoid the issues of desulfonylation or over-reduction of sulfonyl groups.
