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Condensed Matter > Soft Condensed Matter

arXiv:1901.06182 (cond-mat)
[Submitted on 18 Jan 2019]

Title:Nonlinear elasticity of incompatible surface growth

Authors:Lev Truskinovsky, Giuseppe Zurlo
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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 (PRL, 119, 048001, 2017) we developed a linearized elasticity theory of incompatible surface growth which quantitatively linked deposition protocols with post-growth states of stress. Here we extend this analysis to account for both physical and geometrical nonlinearities of an elastic solid. The new 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.
Subjects: Soft Condensed Matter (cond-mat.soft)
Cite as: arXiv:1901.06182 [cond-mat.soft]
  (or arXiv:1901.06182v1 [cond-mat.soft] for this version)
  https://doi.org/10.48550/arXiv.1901.06182
Journal reference: Phys. Rev. E 99, 053001 (2019)
Related DOI: https://doi.org/10.1103/PhysRevE.99.053001

Submission history

From: Giuseppe Zurlo [view email]
[v1] Fri, 18 Jan 2019 11:09:59 UTC (2,396 KB)
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