A coupled theory for chemically active and deformable solids with mass diffusion and heat conduction

Zhang, Xiaolong; Zhong, Zheng

doi:10.1016/j.jmps.2017.06.013

Cited by 49 publications

(11 citation statements)

References 51 publications

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“…where the subscript "0" stands for the initial states, I is the second-order unit tensor. γ α or β α is the swelling coefficient of species α, while γ ðγÞ or β ðγÞ is the chemical dilation coefficient of γth chemical reaction (Zhang and Zhong, 2017a;Chen et al, 2019). These two forms are interconvertible through some transformation.…”

Section: Constitutive Relations and Definite Conditionsmentioning

confidence: 99%

“…Multi-field coupling problems involving diffusion, chemical reaction and deformation processes extensively exist in such cases as curing of polymers (Mahnken, 2013;Sain et al, 2018;Klinge et al, 2012), oxidation of metals (Loeffel and Anand, 2011;Loeffel et al, 2013;Dong et al, 2018;Zhou et al, 2010;Wang et al, 2015), sulfate attack of concrete (Hou et al, 2019;Hu et al, 2014;Ikumi et al, 2014;Kuhl et al, 2004), corrosion of thermal barrier coatings (Xu et al, 2019;Wu et al, 2019;Mercer et al, 2005;Gledhill et al, 2011) and growth of biological tissues (Xue et al, 2017;Loret and Simões, 2005;Ambrosi et al, 2011). Modeling the diffusionreaction-deformation coupled process under various situations is of great importance in understanding the multi-field interaction mechanism of these problems (Yu and Shen, 2014;Zhang and Zhong, 2017a;Salvadori et al, 2018).…”

Section: Introductionmentioning

confidence: 99%

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A computational model for diffusion-reaction-deformation coupled problems and its finite element implementation

Qin

Zhou

Zhong

2021

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PurposeA diffusion-reaction-deformation coupled model is employed and implemented as a user-defined element (UEL) subroutine in the commercial finite element software package ABAQUS.Design/methodology/approachChemical reaction and diffusion are treated as two distinct processes by introducing the extent of reaction and the diffusion concentration as two kinds of independent variables, for which the independent governing equations for chemical reaction and diffusion processes are obtained. Furthermore, an exponential form of chemical kinetics, instead of the linearly phenomenological relation, between the reaction rate and the chemical affinity is used to describe reaction process. As a result, complex chemical reaction can be simulated, no matter it is around or away from equilibrium.FindingsTwo numerical examples are presented, one for validation of the model and another for the modeling of the deflection of a plane caused by a chemical reaction.Originality/value1. Independent governing equations for diffusion and reaction processes are given. 2. An exponential relation between the reaction rate and its driving force is employed. 3. The UEL subroutine is used to implement the finite element procedure.

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Section: Constitutive Relations and Definite Conditionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A computational model for diffusion-reaction-deformation coupled problems and its finite element implementation

Qin

Zhou

Zhong

2021

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“…近期多场耦合研究的焦点之一是力学响应与化学反应之间的耦合 [18~21] . Zhang和Zhong [22] 提出的理论框架, 区分了耦合效应中化学反应与扩散所引起的不同贡献. 在多场耦合应用的计算模拟方面, Yang等人 [17] 建立了多场耦合变分原理及相应的有限元格式.…”

Section: 基于内能分解的力-热-化多物理场耦合系统连续介质力学unclassified

“…根据不可逆热力学的线性唯象律 [23,26,27] , 不可逆过程的演化可由如下耦合演化方程描述: 、基于空间对称性的Curie原理 [14] 和基于时间对称性的Onsager-Casimir倒易关系 [26,27] 等约束. [22,28] . [18,20,29~31] .…”

Section: 耗散能与演化方程unclassified

Continuum mechanics for thermo-chemo-mechanical coupling system based on decomposition of internal energy

2019

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Atom-continuum coupled model for thermo-mechanical behavior of materials in micro-nano scales SCIENCE CHINA Physics, Mechanics & Astronomy 55, 1125 (2012); Chemo-mechanical coupling effect in the high-temperature oxidation of metal materials: A review SCIENCE CHINA Technological Sciences 62, 1246 (2019); 3D thermo-hydro-mechanical-migratory coupling model and FEM analyses for dual-porosity medium SCIENCE CHINA Technological Sciences 53, 2172 (2010); A thermodynamic framework for thermo-chemo-elastic interactions in chemically active materials

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“…For ageing of natural fiber reinforced composites is a physical and Figure 2 (Color online) Evolution of elastic modulus of ramie fiber reinforced composites [9]. chemical process rather than an exclusively physical process [10], it is desirable to introduce the thermo-chemo-elastic coupled theory proposed by Zhang and Zhong [11,12] into the future modeling studies of natural fiber reinforced composite. The general Helmholtz free energy could be expressed in the following form ( )…”

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confidence: 99%

Modeling of mechanical behaviors for natural fiber reinforced composites under hygrothermal ageing

Zhong

Tian

2017

Sci. China Phys. Mech. Astron.

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In recent years, natural fiber reinforced composites have been widely applied to various industrial products for their excellent environmental-friendly performance. It is essential to understand the mechanical properties of natural fiber reinforced composites under their in-service environment. Compared with synthetic fibers, the hydrophilicity of natural fibers could result in a much larger quantity of water absorption from the moisture atmosphere, which would have adverse consequences for the durability of natural fiber reinforced composites [1]. The environmental temperature would affect the water absorption process, and furthermore, high temperature may break down the fibrous tissues. Therefore, the effect of hydrothermal ageing on the mechanical behaviors of natural fiber reinforced composites attracts great attention from researchers.The changes in mechanical behaviors caused by water absorption of various natural fiber reinforced composites, such as composites with fibers of bamboo, hemp, jute or flax, are investigated by means of mechanical measurements and scanning electron microscopy [2]. Experimental studies show that the volumetric swelling of natural fibers accompanies by water absorption process, which would weaken the interface between the natural fibers and the polymer matrix and then leads to the initiation and propagation of cracks. Moreover, besides the physical deterioration caused by the volumetric swelling of natural fibers, the hydrolysis reaction between the natural *Corresponding author (email: zhongzheng@hit.edu.cn) fibers and the water absorbed plays an important role on the mechanical properties of composites as well. The hydrolysis reaction, occurring for long hygrothermal ageing periods, irreversibly affects the natural fibrous structures and causes debonding between the natural fibers and the polymer matrix.For experimental observations, some researchers aim at quantitively modeling the evolution of mechanical behaviors of natural fiber reinforced composites during the hygrothermal ageing process to predict their durability in service. On the basis of the non-equilibrium thermodynamic framework, Pan and Zhong [3][4][5][6][7] have conducted a series of research on modeling the effect of moisture absorption on the mechanical properties of natural fiber reinforced composites. In their analyses, the internal variables are introduced into the Helmholtz free energy to describe the mechanical degradation during the water absorption stage in the hygrothermal ageing process, and the relation between the amount of the water absorbed by the composites and the volumetric swelling of the composites is formulated on the hypothesis of the elastic incompressibility. For example, for the unidirectional natural fiber reinforced composites considering moisture absorption, the specific Helmholtz free energy function is given by ( )

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A coupled theory for chemically active and deformable solids with mass diffusion and heat conduction

Cited by 49 publications

References 51 publications

A computational model for diffusion-reaction-deformation coupled problems and its finite element implementation

A computational model for diffusion-reaction-deformation coupled problems and its finite element implementation

Continuum mechanics for thermo-chemo-mechanical coupling system based on decomposition of internal energy

Modeling of mechanical behaviors for natural fiber reinforced composites under hygrothermal ageing

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