Inelastic Surface Growth

TL;DR

This paper extends a stress-space-centered theory of inelastic surface growth by focusing on growth-induced strains, providing analytical examples relevant to natural and technological processes like development and 3D printing.

Contribution

It introduces a new perspective on surface growth by emphasizing growth-induced strains within an existing theoretical framework.

Findings

Analytical examples demonstrating the theory

Enhanced understanding of growth-induced strains

Application to natural and technological processes

Abstract

Inelastic surface growth associated with continuous creation of incompatibility on the boundary of an evolving body is behind a variety of natural and technological processes, including embryonic development and 3D printing. In this paper we extend the recently proposed stress-space-centered theory of surface growth (PRL 119, 048001, 2017) by shifting the focus towards growth induced strains. To illustrate the new development we present several analytically tractable examples.