A state-of-the-art method that combines a quantum computational algorithm and machine learning, so-called can be powerful approach for solving many-body problems. However, the research scope in field was mainly limited to organic molecules simple lattice models. Here, we propose workflow of learning applications periodic systems on basis an effective model construction from first principles. Th...

Advances in additive manufacturing have enabled a new generation of materials with advantageous properties inherent to their architecture. Recently, architected periodic arrangements plates, called plate-lattice materials, been developed reach theoretical least upper bounds for stiffness and strength isotropic materials. This work investigates the buckling behavior several architectures relativ...

Abstract. We propose a mathematical framework to effectively study lattice materials with periodic and non-periodic structures over entire spaces in one, two, and three dimensions. The existence and uniqueness of solutions for periodic lattice problems with absolute terms are proved in discrete Sobolev spaces. By Fourier transform discrete lattice problems are converted to semi-discrete problem...