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Updated: Jan 23, 2026

Synthesis of Substrate-Bound Au Nanowires Via an Active Surface Growth Mechanism
Published on: July 18, 2018
Nonlinear elasticity of incompatible surface growth
Lev Truskinovsky1, Giuseppe Zurlo2
1PMMH, Centre National de la Recherche Scientifique, UMR 7636, PSL, ESPCI, 10 rue de Vauquelin, 75231 Paris, France.
Abstract:
Surface growth is a crucial component of many natural and artificial processes, from cell proliferation to additive manufacturing. In elastic systems surface growth is usually accompanied by the development of geometrical incompatibility, leading to residual stresses and triggering various instabilities. In a recent paper [G. Zurlo and L. Truskinovsky, Phys. Rev. Lett. 119, 048001 (2017)PRLTAO0031-900710.1103/PhysRevLett.119.048001] we presented a linearized elasticity theory of incompatible surface growth, which provides a quantitative link between deposition protocols and postgrowth states of stress. Here we extend this analysis to account for both physical and geometrical nonlinearities of an elastic solid. This development reveals the shortcomings of the linearized theory, in particular its inability to describe kinematically confined surface growth and to account for growth-induced elastic instabilities.
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