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The Conference will comprise plenary lectures, oral presentations, and poster sessions. It covers a wide spectrum of subjects related to the following topics: Mathematical Modeling in Mechanics of Deformable Solids. Mathematical Methods of Mechanics and Thermomechanics. Mechanics of Nonhomogeneous Solids and Nanomechanics. Mechanics of Contact Interactions, Solids with Cracks and Thin Inclusions. Dynamics of Nonhomogeneous Environments. Optimization and Design of Elements of the Constructions and Biomechanics Systems.