Fundamentals of surface growth of solids in nature and technology

Abstract eng:
The fundamentals of the mathematical theory of surface growth are under consideration. We focus on the surface growth when deposition of a new material occurs at the boundary of a growing solid. The constitutive equations and boundary conditions for growing solids are presented. Non—classical boundary value problems are formulated. Methods for solving these problems are proposed. They are illustrated by solutions of several model problems that demonstrate the unique mechanical behavior of growing solids.

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