Perturbation finite element solution for chemo-elastic boundary value problems under chemical equilibrium
作者： Peter L. Bishay , Jan Sladek , Nicholas Fabry , Vladimir Sladek , Chuanzeng Zhang
DOI: 10.1007/S10409-019-00871-0
关键词:
摘要: Modeling the elastic behavior of solids in energy conversion and storage devices such as fuel cells lithium-ion batteries is usually difficult because nonlinear characteristics coupled chemo-mechanical these solids. In this work, a perturbation finite element (FE) formulation developed to analyze chemo-elastic boundary value problems (BVPs) under chemical equilibrium. The method applied FE equations nonlinearity potential expression function solute concentration. compositional expansion coefficient used parameter. After expansion, system partial differential for displacement dimensionless concentration functions obtained solved consecutive steps. presence numerical solution enables modeling 3D solids, battery electrodes or ionic gels, any geometric shape with defects different shapes. proposed tested several examples plates circular elliptical holes, cracks. showed how defect can change distribution around defect. Cracks create sharp peaks crack tips, intensity increases far field decreases.
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