The role of Eshelby stress in composition-generated and stress-assisted diffusion

Wu, Chien H.

doi:10.1016/s0022-5096(01)00011-4

Cited by 84 publications

(55 citation statements)

References 26 publications

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“…Similar expressions, with a chemical potential that depends linearly on the hydrostatic pressure, have been obtained previously, for instance by Weitsman [3] and Wu [4], but without the molar mass of water appearing explicitly, which may be due to different definitions of the chemical potential used. Similarly, expressions have also been given for diffusion in metals (Larché and Cahn [5], for instance), but the correspondence between ω w /ρ p and the density of lattice sites used in the latter context is not trivial.…”

Section: Modification Of the Chemical Potential By Applied Stressesmentioning

confidence: 55%

“…A more elaborate derivation has been proposed by Wu [4], where finite strain analysis was applied first, before small strain assumption was used. This leads to an additional term in the generalized chemical potential, which had been obtained already by Li et al [6] and which is similar to the second term in (5) where p would be replaced by the elastic energy W .…”

Section: Modification Of the Chemical Potential By Applied Stressesmentioning

confidence: 99%

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The effect of applied stresses on the equilibrium moisture content in polymers

Derrien

Pierre

2007

Scripta Materialia

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To cite this version:Katell Derrien, Pierre Gilormini. The effect of applied stresses on the equilibrium moisture content in polymers. Scripta Materialia, Elsevier, 2007, 56 (4) Abstract -The relation between saturation moisture content in a polymer and applied stresses is derived as a function of the coefficient of moisture expansion. The model predictions are compared favourably with experimental data taken from the literature.

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Section: Modification Of the Chemical Potential By Applied Stressesmentioning

confidence: 55%

Section: Modification Of the Chemical Potential By Applied Stressesmentioning

confidence: 99%

The effect of applied stresses on the equilibrium moisture content in polymers

Derrien

Pierre

2007

Scripta Materialia

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“…They considered diffusing solids and showed that the chemical potential depends on the trace of the stress tensor. This result was further developed in [9] where it was justified that the chemical potential is proportional to the trace of the Eshelby stress tensor. In the present paper we consider a chemical reaction in an elastic body within the frameworks of configuration forces concept.…”

Section: Introductionmentioning

confidence: 89%

Stress-assist chemical reactions front propagation in deformable solids

Freidin

Иванова

Korolev

2014

International Journal of Engineering Science

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Abstract. We consider a stress-assist chemical reaction front propagation implying the reaction like silicon oxidation. We assume that the chemical reaction is localized at the reaction front that divides two solid constituents. The reaction is sustained and controlled by the diffusion of the gas constituent through the oxide. We determine a transformation strain tensor produced by the chemical reaction in dependence on the reaction parameters. Then we derive an expression of the entropy production due to the reaction front propagation and, as a result, obtain the formula of the chemical affinity tensor. The normal component of the chemical affinity tensor acts as a configurational force that drives the propagating reaction front. Then we introduce the notion of the equilibrium gas constituent concentration as the concentration at which the chemical affinity is zero. We formulate a kinetic relationship for the reaction front velocity in terms of current gas concentration at the reaction front and the equilibrium concentration that depends on stresses at the front. We obtain analytical solutions of simplest axially symmetric problems of mechanochemistry considering chemical reactions around a hole as a simplest stress concentrator and the oxidation of a cylinder. We demonstrate the reaction locking effects due to internal stresses and examine how stress state affects the reaction front kinetics. IntroductionThe influence of mechanical loading on chemical reaction kinetics remains to be of significant interest for both fundamental and applied engineering science. Chemo-mechanical problems have received a new attention in recent years due to miniaturization of structure elements. For example, fracture processes in micron-scale parts of MEMS made of polycrystalline silicon thin films involve sequential oxidation of polysilicon and environmentally-assisted crack growth inside an oxide layer. In turn, the kinetics of the oxide growth is determined by mechanical stresses produced by the crack. The catastrophic failure happens when the crack reaches the reaction front. Thus, major events which determine the life time of MEMS are related with coupling between stresses and chemical reactions (see details in [1,2]). Reactions similar to the silicon oxidation also take place in the process of metal hydride formation used in hydrogen storage applications (see e.g. [3]). Many models of silicon oxidation arise to pioneering papers by Deal and Grove [4], see for example a recent paper [3]. However neither external loading nor internal stresses were taken into account in these works. One of the first attempts to obtain an expression of the chemical potential in a multicomponent solid under stress was made by Larche and Cahn [5][6][7][8]. They considered diffusing solids and showed that the chemical potential depends on the trace of the stress tensor. This result was further developed in

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“…Para elasticidade linear, na qual comumente se aplica o conceito de deformações infinitesimais, Wu [11] descreve sobre a possibilidade do tensor de Eshelby ser representado pela seguinte equação:…”

Section: Mecânica Computacionalunclassified

“…Para a modelagem de problemas de propagações de trincas em compostos de borracha, alguns trabalhos propõem métodos para determinar o caminho percorrido por uma trinca sob uma estrutura, dada uma solicitação mecânica. Dentre os trabalhos publicados, destacam-se os trabalhos de Geubelle & Knauss [10], Loppin [11] e Ozelo et al [12].…”

Section: Mecânica Da Fratura De Elastômerosunclassified

Avanços Na Análise De Fadiga De Compostos De Borracha

Ozelo¹,

Sollero²,

Costa³

2014

Anais Do XXII Simpósio Internacional De Engenharia Automotiva

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RESUMOEste artigo tem como objetivo abordar o tema da fadiga em compostos de borracha, detalhar as teorias, equações e conceitos teóricos, destacando os recentes avanços. Pesquisas aplicadas e validações experimentais serão apresentadas de modo a exemplificar o uso dos métodos e técnicas adotadas. Em particular, será enfatizada a aplicação destas técnicas no desenvolvimento de pneus. Basicamente, a análise de falha pode ser separada em dois estágios: a nucleação e o crescimento de uma trinca. A mecânica do dano é a área de estudo responsável por analisar o estágio de nucleação da trinca, enquanto que a mecânica da fratura avalia a propagação da trinca até o colapso total da estrutura. A mecânica configuracional e a abordagem do plano crítico vêm sendo aplicadas nos últimos anos para análise de dano em compostos de borracha. Ambas as abordagens apresentam bons resultados na validação experimental considerando carregamentos multiaxiais de fadiga. Para simular a propagação da trinca em elastômeros existem alguns métodos numéricos para determinar o percurso de propagação na estrutura, exemplificados neste trabalho. Este tipo de análise visa identificar os pontos críticos na estrutura e evitar falhas catastróficas. INTRODUÇÃOO comportamento reológico dos compostos de borracha e sua capacidade de suportar altas deformações sem apresentar plasticidade ou ruptura, fazem com que este tipo de material seja ideal para aplicações, tais como: pneus, isoladores de vibração, correias e transmissão, amortecedores de impacto, artigos médicos, calçados, dentre outros.Aplicados em conjunto com outros componentes estruturais, os compostos de borracha precisam ser submetidos a ensaios exaustivos de durabilidade e integridade antes de serem transformados em produtos pela indústria e chegarem ao consumidor final. A realização destes ensaios experimentais alonga de forma significativa o tempo e o custo de desenvolvimento de um produto, algumas vezes exigindo um grande número de protótipos.A modelagem numérica tem auxiliado muito neste sentido, com o desenvolvimento de modelos preditivos capazes de entender comportamentos mecânicos, avaliar processabilidade, estimar a integridade estrutural e a vida em fadiga, dentre outras características essências para a produção e homologação de um novo produto.

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The role of Eshelby stress in composition-generated and stress-assisted diffusion

Cited by 84 publications

References 26 publications

The effect of applied stresses on the equilibrium moisture content in polymers

The effect of applied stresses on the equilibrium moisture content in polymers

Stress-assist chemical reactions front propagation in deformable solids

Avanços Na Análise De Fadiga De Compostos De Borracha

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