A finite element method for modeling surface growth and resorption of deformable solids

Author:

Bergel Guy L.,Papadopoulos Panayiotis

Abstract

AbstractThis 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.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Computational Theory and Mathematics,Mechanical Engineering,Ocean Engineering,Computational Mechanics

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Accretion–ablation mechanics;Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences;2023-11-06

2. Finite extension of accreting nonlinear elastic solid circular cylinders;Continuum Mechanics and Thermodynamics;2023-03-20

3. Accretion Mechanics of Nonlinear Elastic Circular Cylindrical Bars Under Finite Torsion;Journal of Elasticity;2022-11-29

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