A FINITE ELEMENT METHOD FOR MODELING SURFACE GROWTH AND RESORPTION OF DEFORMABLE SOLIDS
G.L. Bergel and P. Papadopoulos Computational Mechanics, 68, pp. 759-774, (2021).

Abstract
This work explores a continuum-mechanical model for a body simultaneously undergoing finite deformation and surface growth/resorption. This is accomplished by defining the kinematics as well as the set of material points that constitute the domain of a physical body at a given time in terms of an evolving reference configuration. The implications of spatial and temporal discretization are discussed, and an extension of the Arbitrary Lagrangian-Eulerian finite element method is proposed to enforce the resulting balance laws on the grown/resorbed body in two spatial dimensions. Representative numerical examples are presented to highlight the predictive capabilities of the model and the numerical properties of the proposed solution method.


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