Eventos Anais de eventos
COBEM 2021
26th International Congress of Mechanical Engineering
Continuous Model for Dissolution in Elastic Solids under Tension
Submission Author:
Suelen Sobrinho , RJ
Co-Authors:
Suelen Sobrinho, Gabriel Mario Guerra Bernadá, Fernando Pereira Duda
Presenter: Suelen Sobrinho
doi://10.26678/ABCM.COBEM2021.COB2021-1428
Abstract
In this paper, we present an analytical description of the effective dissolution kinetics of spherical particles into a solvent. We investigate the role of stress on the dissolution of elastic solids in liquids. Towards this end, we first formulate a continuum theory to describe the solid-solution system made up of an elastic solid separated from the surrounding solution by a sharp boundary that evolves due to dissolution. In addition to the usual balances needed to describe this kind of system, we introduce an extra force balance, the so-called configurational force balance, from which we derive a general saturation condition at the solid-solution interface. Under suitable constitutive assumptions, we arrive at two sets of equations to be solved in moving domains: the equations of linear elasticity on the dissolving solid and the diffusion equation to be solved for the solid content in the solution. These equations are coupled since their domains are separated by a moving boundary whose evolution is governed by a stress-dependent dissolution rate and saturation condition. The latter provides the boundary condition for the diffusion equation in the moving boundary. Finally, consider analytical and numerical examples to illustrate the use of the proposed model.
Keywords
Dissolution, Configurational Forces, corrosion, Drug Delivery
