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research-article

A fully coupled chemomechanical formulation with chemical reaction implemented by finite element method

[+] Author and Article Information
Jianyong Chen

State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace, Xi'an Jiaotong University, Xi'an 710049, China; Department of Architecture and Civil Engineering, City University of Hong Kong, Kowloon, Hong Kong
jian.09175004@stu.xjtu.edu.cn

Hailong Wang

School of Civil Engineering, Chang'an University, Xi'an 710061, China
wanghailong@chd.edu.cn

Kim M. Liew

Department of Architecture and Civil Engineering, City University of Hong Kong, Kowloon, Hong Kong
kmliew@cityu.edu.hk

Shengping Shen

State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace, Xi'an Jiaotong University, Xi'an 710049, China
sshen@mail.xjtu.edu.cn

1Corresponding author.

ASME doi:10.1115/1.4042431 History: Received November 28, 2018; Revised December 18, 2018

Abstract

Based on the irreversible thermodynamics, a fully coupled chemomechanical model, i.e., the reaction-diffusion-stress model, is proposed and implemented numerically into the finite element method with UEL (user-defined element) subroutines in ABAQUS. Compositional stress and growth stress are induced by the diffusion and chemical reactions in the solid, and in turn, both the diffusion and chemical reactions are stress-dependent. By providing specialization of the chemical reaction and free energy function, the specialized constitutive equations are introduced, which are highly coupled and nonlinear. The finite element formulations are derived from the standard Galerkin approach and implemented via UEL subroutines in ABAQUS. Several illustrative numerical simulation examples are shown. The results demonstrate the validity and capability of the UEL subroutines, and show the interactions among mechanical deformation, diffusion and chemical reaction.

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