European Journal of Mechanics A-Solids最新文献

英文中文

Prediction of complex modulus for asphalt concrete based on micromechanics considering interaction among randomly oriented aggregates

IF 4.4 2区工程技术 Q1 MECHANICS

European Journal of Mechanics A-Solids

Pub Date : 2025-02-13 DOI: 10.1016/j.euromechsol.2025.105604

Yadong Guo

Complex modulus is one fundamental mechanical property of viscoelastic composites. In some existing methods on the prediction of complex modulus, inhomogeneities were usually assumed to be spherical and symmetric, and some complicated calculations were often performed to deal with the inverse Laplace transform. Most importantly, the effect of interaction among randomly oriented inhomogeneities on the complex modulus of composites has not been studied carefully. In this study, to address these challenges, aggregates in asphalt concrete are modeled as asymmetric ellipsoids. To account for the impact of aggregate interactions on the complex modulus, the orientation interaction model (OIM) is employed in conjunction with the elastic-viscoelastic correspondence principle. Based on OIM, the Laplace transform of the composite relaxation modulus is derived from the component characteristics. Then, according to the relationship between relaxation modulus and complex modulus for viscoelastic materials, the complex modulus of composites is obtained directly from the Laplace transform of the composite relaxation modulus, so the inverse Laplace transform is avoided. Model predictions agree well with test data, and it is found the aggregate geometry has a considerable influence on the composite property. The proposed model also captures the decrease of the composite dynamic Poisson's ratio with the increase of loading frequencies. The effects of component volume contents and the Poisson's ratio of the matrix on the composite dynamic modulus are analyzed, and model predictions are consistent with experimental observations.

{"title":"Prediction of complex modulus for asphalt concrete based on micromechanics considering interaction among randomly oriented aggregates","authors":"Yadong Guo","doi":"10.1016/j.euromechsol.2025.105604","DOIUrl":"10.1016/j.euromechsol.2025.105604","url":null,"abstract":"<div><div>Complex modulus is one fundamental mechanical property of viscoelastic composites. In some existing methods on the prediction of complex modulus, inhomogeneities were usually assumed to be spherical and symmetric, and some complicated calculations were often performed to deal with the inverse Laplace transform. Most importantly, the effect of interaction among randomly oriented inhomogeneities on the complex modulus of composites has not been studied carefully. In this study, to address these challenges, aggregates in asphalt concrete are modeled as asymmetric ellipsoids. To account for the impact of aggregate interactions on the complex modulus, the orientation interaction model (OIM) is employed in conjunction with the elastic-viscoelastic correspondence principle. Based on OIM, the Laplace transform of the composite relaxation modulus is derived from the component characteristics. Then, according to the relationship between relaxation modulus and complex modulus for viscoelastic materials, the complex modulus of composites is obtained directly from the Laplace transform of the composite relaxation modulus, so the inverse Laplace transform is avoided. Model predictions agree well with test data, and it is found the aggregate geometry has a considerable influence on the composite property. The proposed model also captures the decrease of the composite dynamic Poisson's ratio with the increase of loading frequencies. The effects of component volume contents and the Poisson's ratio of the matrix on the composite dynamic modulus are analyzed, and model predictions are consistent with experimental observations.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"112 ","pages":"Article 105604"},"PeriodicalIF":4.4,"publicationDate":"2025-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143437490","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Advanced finite element approaches for the 2D analysis of multilayered composite and sandwich beams

IF 4.4 2区工程技术 Q1 MECHANICS

European Journal of Mechanics A-Solids

Pub Date : 2025-02-12 DOI: 10.1016/j.euromechsol.2025.105606

Matteo Sorrenti , Francesc Turon , Fermin Otero , Xavier Martinez , Marco Gherlone

This work presents a new critical overview and a numerical assessment of some advanced Finite Element (FE) approaches for the analysis of multilayered composite and sandwich beams. Firstly, the fundamental hypotheses behind the Timoshenko Beam Theory (TBT) and the Refined Zigzag Theory (RZT) are addressed, and corresponding low-order simple and efficient

C^{0}

two-noded beam elements are recalled for 2D cylindrical bending problems. Additionally, two novel advanced FE techniques are employed for 2D bending analysis, i.e. the Multi-Scale (MS) analysis and the Beam-Like Reduced Order Model (BLROM). The proposed FE models are used to investigate the static cylindrical bending response of multilayered composite and sandwich beams under different boundary conditions. The results demonstrate the superior predictive capabilities of the RZT, MS and BLROM models compared to the TBT one. Furthermore, despite having the same kinematics as the TBT, the MS and BLROM models guarantee enhancements in axial strain and transverse shear stress distributions. In addition, the RZT confirms its superior accuracy in predicting both transverse displacements and strains across the laminate thickness. Depending on their accuracy, the RZT, MS and BLROM models are computationally more advantageous than other expensive high-fidelity FE approaches and excellent candidates for the 2D static analysis of multilayered beams.

{"title":"Advanced finite element approaches for the 2D analysis of multilayered composite and sandwich beams","authors":"Matteo Sorrenti , Francesc Turon , Fermin Otero , Xavier Martinez , Marco Gherlone","doi":"10.1016/j.euromechsol.2025.105606","DOIUrl":"10.1016/j.euromechsol.2025.105606","url":null,"abstract":"<div><div>This work presents a new critical overview and a numerical assessment of some advanced Finite Element (FE) approaches for the analysis of multilayered composite and sandwich beams. Firstly, the fundamental hypotheses behind the Timoshenko Beam Theory (TBT) and the Refined Zigzag Theory (RZT) are addressed, and corresponding low-order simple and efficient <span><math><msup><mrow><mi>C</mi></mrow><mrow><mn>0</mn></mrow></msup></math></span> two-noded beam elements are recalled for 2D cylindrical bending problems. Additionally, two novel advanced FE techniques are employed for 2D bending analysis, i.e. the Multi-Scale (MS) analysis and the Beam-Like Reduced Order Model (BLROM). The proposed FE models are used to investigate the static cylindrical bending response of multilayered composite and sandwich beams under different boundary conditions. The results demonstrate the superior predictive capabilities of the RZT, MS and BLROM models compared to the TBT one. Furthermore, despite having the same kinematics as the TBT, the MS and BLROM models guarantee enhancements in axial strain and transverse shear stress distributions. In addition, the RZT confirms its superior accuracy in predicting both transverse displacements and strains across the laminate thickness. Depending on their accuracy, the RZT, MS and BLROM models are computationally more advantageous than other expensive high-fidelity FE approaches and excellent candidates for the 2D static analysis of multilayered beams.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105606"},"PeriodicalIF":4.4,"publicationDate":"2025-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143419871","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

C0 FEM approximation for the thermal buckling analysis of thin plates: Lagrange Multiplier and Penalty Methods

IF 4.4 2区工程技术 Q1 MECHANICS

European Journal of Mechanics A-Solids

Pub Date : 2025-02-12 DOI: 10.1016/j.euromechsol.2025.105605

Saeedeh Qaderi , Michele Bacciocchi , Nicholas Fantuzzi

C^{0}

FEM approximation for the thermal buckling of laminated thin plates employing the Lagrange Multiplier Method (LMM) and Penalty Method (PM) has been assessed. Such methods enforce internal constraints without requiring more complex formulations in a classical finite element implementation. Specifically, the thin plate assumption is applied in a first-order plate theory, eliminating the need for Hermite interpolation functions and complex meshing. Constraints are included in the formulation via energy functions. Applying the two methods enables the interpolation of displacement parameters using Lagrange shape functions with

C^{0}

continuity. This approach simplifies implementation and enhances computational efficiency. In terms of model size, the Penalty Method (PM) does not introduce additional degrees of freedom (DOF). In contrast, the Lagrange Multiplier Method (LMM) increases the system’s DOF due to the inclusion of Lagrange multipliers. For the case of LMM, the regularization method has been utilized to solve the saddle point problem. A parametric study has been carried out for the critical buckling temperatures of laminated thin plates. To verify the effectiveness of the proposed method, results were compared with known analytical solutions and other conventional approaches, demonstrating strong agreement. Comparing the two methods shows that both LMM and PM simplify implementing numerical algorithms for optimal solutions in computational environments.

{"title":"C0 FEM approximation for the thermal buckling analysis of thin plates: Lagrange Multiplier and Penalty Methods","authors":"Saeedeh Qaderi , Michele Bacciocchi , Nicholas Fantuzzi","doi":"10.1016/j.euromechsol.2025.105605","DOIUrl":"10.1016/j.euromechsol.2025.105605","url":null,"abstract":"<div><div>A <span><math><msup><mrow><mi>C</mi></mrow><mrow><mn>0</mn></mrow></msup></math></span> FEM approximation for the thermal buckling of laminated thin plates employing the Lagrange Multiplier Method (LMM) and Penalty Method (PM) has been assessed. Such methods enforce internal constraints without requiring more complex formulations in a classical finite element implementation. Specifically, the thin plate assumption is applied in a first-order plate theory, eliminating the need for Hermite interpolation functions and complex meshing. Constraints are included in the formulation via energy functions. Applying the two methods enables the interpolation of displacement parameters using Lagrange shape functions with <span><math><msup><mrow><mi>C</mi></mrow><mrow><mn>0</mn></mrow></msup></math></span> continuity. This approach simplifies implementation and enhances computational efficiency. In terms of model size, the Penalty Method (PM) does not introduce additional degrees of freedom (DOF). In contrast, the Lagrange Multiplier Method (LMM) increases the system’s DOF due to the inclusion of Lagrange multipliers. For the case of LMM, the regularization method has been utilized to solve the saddle point problem. A parametric study has been carried out for the critical buckling temperatures of laminated thin plates. To verify the effectiveness of the proposed method, results were compared with known analytical solutions and other conventional approaches, demonstrating strong agreement. Comparing the two methods shows that both LMM and PM simplify implementing numerical algorithms for optimal solutions in computational environments.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105605"},"PeriodicalIF":4.4,"publicationDate":"2025-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143419860","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Static analysis of functionally graded and laminated composite beams using various higher-order shear deformation theories: A study with mixed finite element models 使用各种高阶剪切变形理论对功能分层和层压复合梁进行静态分析：混合有限元模型研究

IF 4.4 2区工程技术 Q1 MECHANICS

European Journal of Mechanics A-Solids

Pub Date : 2025-02-11 DOI: 10.1016/j.euromechsol.2025.105596

Abdullah Müsevitoğlu , Atilla Özütok , J.N. Reddy

Technological advancements continuously increase the demand for advanced materials. Laminated composites and Functionally Graded Materials (FGMs) are preferred for their high strength and lightweight properties. This study examines the static behavior of laminated composite and functionally graded beams. The field equations are formulated using the principle of virtual displacements. A functional is derived using a generalized higher-order shear deformation theory that incorporates several existing beam theories as special cases. A mixed finite element model of this theory is developed, treating displacement, force, and moment as nodal degrees of freedom. Various beam problems with different thickness functions and boundary conditions are analyzed. A comparison of the present model’s numerical results with those in the literature shows that the present solutions for both laminated composite and functionally graded beams are accurate. Additionally, a detailed study of the stiffness coefficients of functionally graded beams is conducted.

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引用次数: 0

On the torsional vibration of a porous nanorod with arbitrary boundary conditions considering nonlocal lam strain gradient theory

IF 4.4 2区工程技术 Q1 MECHANICS

European Journal of Mechanics A-Solids

Pub Date : 2025-02-11 DOI: 10.1016/j.euromechsol.2025.105610

Murat Akpınar , Uğur Kafkas , Büşra Uzun , Mustafa Özgür Yaylı

Porous materials are an important type of advanced materials due to their excellent properties, with one of the most notable being their lightweight nature. It is also important to accurately understand the mechanical response of nanorods, one of the components of nano-electro-mechanical systems. Therefore, a porous material is considered for the nanorod and elastic boundary conditions are considered, which presents a more realistic model. In order to provide a general eigenvalue solution based on these boundary conditions, an approach based on Fourier sine series and Stokes’ transform is considered. The main novelty of this eigenvalue solution, which calculates the torsional frequencies of the porous nanorod, lies in its ability to analyze both rigid and deformable boundary conditions. Although the analysis of other types of rods under arbitrary boundary conditions has been performed in the literature, the torsional vibration of porous nanorods based on nonlocal Lam strain gradient theory presented in this work is the first. To summarize the key findings of the study, it can be said that an increase in the nonlocal parameter and the porosity parameter which affects the shear modulus, cause a decrease in the torsional vibrations of the porous nanorod. On the other hand, an increase in the material length scale parameters, the spring stiffnesses at the ends and the porosity parameter, which causes the alters the mass density, results in an increase in the vibration frequencies.

{"title":"On the torsional vibration of a porous nanorod with arbitrary boundary conditions considering nonlocal lam strain gradient theory","authors":"Murat Akpınar , Uğur Kafkas , Büşra Uzun , Mustafa Özgür Yaylı","doi":"10.1016/j.euromechsol.2025.105610","DOIUrl":"10.1016/j.euromechsol.2025.105610","url":null,"abstract":"<div><div>Porous materials are an important type of advanced materials due to their excellent properties, with one of the most notable being their lightweight nature. It is also important to accurately understand the mechanical response of nanorods, one of the components of nano-electro-mechanical systems. Therefore, a porous material is considered for the nanorod and elastic boundary conditions are considered, which presents a more realistic model. In order to provide a general eigenvalue solution based on these boundary conditions, an approach based on Fourier sine series and Stokes’ transform is considered. The main novelty of this eigenvalue solution, which calculates the torsional frequencies of the porous nanorod, lies in its ability to analyze both rigid and deformable boundary conditions. Although the analysis of other types of rods under arbitrary boundary conditions has been performed in the literature, the torsional vibration of porous nanorods based on nonlocal Lam strain gradient theory presented in this work is the first. To summarize the key findings of the study, it can be said that an increase in the nonlocal parameter and the porosity parameter which affects the shear modulus, cause a decrease in the torsional vibrations of the porous nanorod. On the other hand, an increase in the material length scale parameters, the spring stiffnesses at the ends and the porosity parameter, which causes the alters the mass density, results in an increase in the vibration frequencies.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105610"},"PeriodicalIF":4.4,"publicationDate":"2025-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143429695","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Modelling of anisotropic high-cycle fatigue of metals

IF 4.4 2区工程技术 Q1 MECHANICS

European Journal of Mechanics A-Solids

Pub Date : 2025-02-11 DOI: 10.1016/j.euromechsol.2025.105601

Reijo Kouhia , Niels Saabye Ottosen , Matti Ristinmaa , Arturo Rubio Ruiz , Sami Holopainen , Timo Saksala

A continuum approach for anisotropic high-cycle fatigue modelling for metals is described. The approach is based on the idea of an endurance surface moving in the stress space where the movement is described by a back-stress tensor. The movement of the endurance surface is governed by an evolution equation. Thereby, the back stress tensor memorizes the load history so that fatigue damage accumulation can be easily calculated under arbitrary complex loading conditions without cycle counting techniques. Orthotropy and transverse isotropy are treated using the invariant theory. Anisotropic forms for both endurance function and evolution equations for the back stress and damage, are considered. It is also shown that for proportional loading and infinite life time this approach leads to generalizations of Sines criterion to orthotropy and transverse isotropy. Identification of the model parameters is carried out for metallic materials with the experimental results available in the literature.

引用次数: 0

Constitutive modeling for the creep-ratcheting interaction of 0Cr18Ni10Ti stainless steel at high temperature

IF 4.4 2区工程技术 Q1 MECHANICS

European Journal of Mechanics A-Solids

Pub Date : 2025-02-10 DOI: 10.1016/j.euromechsol.2025.105602

Jian Li , Jia Chen , Yuxuan Liu , Wei Jiang , Qianhua Kan

The 0Cr18Ni10Ti stainless steel serves as a crucial component in the construction of reactor piping, which is subjected to complex cyclic loadings at high temperatures. Hence, undertaking both experimental observation and computational modeling to explore the cyclic deformation behavior of this material is of significant importance. Cyclic experimental investigations of 0Cr18Ni10Ti stainless steel with various holding waveforms and holding times were conducted at 623 K. The results reveal that the holding variables influence on the cyclic responses, presenting a creep-ratcheting interaction. A nonlinear static recovery factor is integrated into the kinematic hardening equation within a unified visco-plastic (UVP) framework to assess the effects of these holding variables on creep-ratcheting interaction. Additionally, a nonlinear static recovery factor associated with isotropic resistance is incorporated into the isotropic hardening equation to account for the stress relaxation during holding intervals. The derived results demonstrate that this modified UVP constitutive model can reasonably simulate the creep-ratcheting interaction of 0Cr18Ni10Ti stainless steel at 623 K. Particularly, it accurately captures the stress amplitude evolution observed during sustained peak strain and the ratcheting strain accumulation while maintaining peak stress. The proposed model provides a fundamental basis for evaluating the cyclic deformation responses of 0Cr18Ni10Ti stainless steel, as used within nuclear reactor environments.

{"title":"Constitutive modeling for the creep-ratcheting interaction of 0Cr18Ni10Ti stainless steel at high temperature","authors":"Jian Li , Jia Chen , Yuxuan Liu , Wei Jiang , Qianhua Kan","doi":"10.1016/j.euromechsol.2025.105602","DOIUrl":"10.1016/j.euromechsol.2025.105602","url":null,"abstract":"<div><div>The 0Cr18Ni10Ti stainless steel serves as a crucial component in the construction of reactor piping, which is subjected to complex cyclic loadings at high temperatures. Hence, undertaking both experimental observation and computational modeling to explore the cyclic deformation behavior of this material is of significant importance. Cyclic experimental investigations of 0Cr18Ni10Ti stainless steel with various holding waveforms and holding times were conducted at 623 K. The results reveal that the holding variables influence on the cyclic responses, presenting a creep-ratcheting interaction. A nonlinear static recovery factor is integrated into the kinematic hardening equation within a unified visco-plastic (UVP) framework to assess the effects of these holding variables on creep-ratcheting interaction. Additionally, a nonlinear static recovery factor associated with isotropic resistance is incorporated into the isotropic hardening equation to account for the stress relaxation during holding intervals. The derived results demonstrate that this modified UVP constitutive model can reasonably simulate the creep-ratcheting interaction of 0Cr18Ni10Ti stainless steel at 623 K. Particularly, it accurately captures the stress amplitude evolution observed during sustained peak strain and the ratcheting strain accumulation while maintaining peak stress. The proposed model provides a fundamental basis for evaluating the cyclic deformation responses of 0Cr18Ni10Ti stainless steel, as used within nuclear reactor environments.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105602"},"PeriodicalIF":4.4,"publicationDate":"2025-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143419858","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Non-linear deformation mechanism of circular thin film/substrate systems under film stress

IF 4.4 2区工程技术 Q1 MECHANICS

European Journal of Mechanics A-Solids

Pub Date : 2025-02-08 DOI: 10.1016/j.euromechsol.2025.105608

Haijun Liu , Minghui Dai , Xiaoqing Tian , Shan Chen , Fangfang Dong , Jiang Han

The standard practice of assuming spherical deformation to relate film stress and deformation in thin film/substrate systems proves increasingly inaccurate with larger deformations. This study proposes a paradigm shift, adopting a model that captures the intricate nuances of large deformations through a quadratic curvature function. Based on this, the deformation mechanism of circular thin film/substrate systems is studied and it was found that when the deformation is large, the circumferential compression caused by the radial displacement cannot be ignored, resulting in the loss of radial force balance. The film on the substrate continues to bend until the forces reach equilibrium. This results in a progressive increase in the bending curvature, gradually growing outwards from the center towards the edges. The relationship between stress and deformation is derived through the theory of elasticity and the substrate stress changes significantly along the radial direction. The solved deformation and the stress states agree well with those obtained by finite element method. This novel method boasts its applicability across both linear and non-linear deformation regimes within circular film/substrate systems. It seamlessly transitions back to the classical Stoney formula in the linear limit, demonstrating its compatibility with established theoretical frameworks.

{"title":"Non-linear deformation mechanism of circular thin film/substrate systems under film stress","authors":"Haijun Liu , Minghui Dai , Xiaoqing Tian , Shan Chen , Fangfang Dong , Jiang Han","doi":"10.1016/j.euromechsol.2025.105608","DOIUrl":"10.1016/j.euromechsol.2025.105608","url":null,"abstract":"<div><div>The standard practice of assuming spherical deformation to relate film stress and deformation in thin film/substrate systems proves increasingly inaccurate with larger deformations. This study proposes a paradigm shift, adopting a model that captures the intricate nuances of large deformations through a quadratic curvature function. Based on this, the deformation mechanism of circular thin film/substrate systems is studied and it was found that when the deformation is large, the circumferential compression caused by the radial displacement cannot be ignored, resulting in the loss of radial force balance. The film on the substrate continues to bend until the forces reach equilibrium. This results in a progressive increase in the bending curvature, gradually growing outwards from the center towards the edges. The relationship between stress and deformation is derived through the theory of elasticity and the substrate stress changes significantly along the radial direction. The solved deformation and the stress states agree well with those obtained by finite element method. This novel method boasts its applicability across both linear and non-linear deformation regimes within circular film/substrate systems. It seamlessly transitions back to the classical Stoney formula in the linear limit, demonstrating its compatibility with established theoretical frameworks.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105608"},"PeriodicalIF":4.4,"publicationDate":"2025-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143395527","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A chemomechanical coupling model for diffusion and stress analysis in polymer-based anti-corrosion coatings

IF 4.4 2区工程技术 Q1 MECHANICS

European Journal of Mechanics A-Solids

Pub Date : 2025-02-05 DOI: 10.1016/j.euromechsol.2025.105603

Liangji Ma , Bo Zhang , Yin Yao , Zhilong Peng , Dawei Li , Shaohua Chen

The phenomenon of chemomechanical coupling significantly impacts the service performance and lifespan of organic anti-corrosion coatings. Due to differences in matrix materials, the chemomechanical coupling mechanism in organic anti-corrosion coatings is different from that in metal-based materials. How to accurately characterize the chemomechanical coupling behavior in organic anti-corrosion coatings has become an important issue. In this work, a new theoretical model of strong chemomechanical coupling is established for polymer-based anti-corrosion coatings, in which the stress-dependent chemical potential gradient is employed as the fundamental driving force for diffusion and the influence of stress on the diffusion coefficient is considered based on the concept of free volume theory. The model is further utilized to examine the distribution and evolution of the chemomechanical coupling field within a polymer-based anti-corrosion coating system under external loading. Compared with the analysis results of existing weak coupling models, it is found that strong chemomechanical coupling significantly affects the diffusion rate of substances, which in turn affects the concentration field and stress field within the coating. In addition, this model can also explain the experimental result that hydrostatic pressure diminishes the diffusion coefficient. The proposed strong coupling model should be significant in precisely analyzing the diffusion process and mechanical properties of materials or structures in chemomechanical coupling environments.

{"title":"A chemomechanical coupling model for diffusion and stress analysis in polymer-based anti-corrosion coatings","authors":"Liangji Ma , Bo Zhang , Yin Yao , Zhilong Peng , Dawei Li , Shaohua Chen","doi":"10.1016/j.euromechsol.2025.105603","DOIUrl":"10.1016/j.euromechsol.2025.105603","url":null,"abstract":"<div><div>The phenomenon of chemomechanical coupling significantly impacts the service performance and lifespan of organic anti-corrosion coatings. Due to differences in matrix materials, the chemomechanical coupling mechanism in organic anti-corrosion coatings is different from that in metal-based materials. How to accurately characterize the chemomechanical coupling behavior in organic anti-corrosion coatings has become an important issue. In this work, a new theoretical model of strong chemomechanical coupling is established for polymer-based anti-corrosion coatings, in which the stress-dependent chemical potential gradient is employed as the fundamental driving force for diffusion and the influence of stress on the diffusion coefficient is considered based on the concept of free volume theory. The model is further utilized to examine the distribution and evolution of the chemomechanical coupling field within a polymer-based anti-corrosion coating system under external loading. Compared with the analysis results of existing weak coupling models, it is found that strong chemomechanical coupling significantly affects the diffusion rate of substances, which in turn affects the concentration field and stress field within the coating. In addition, this model can also explain the experimental result that hydrostatic pressure diminishes the diffusion coefficient. The proposed strong coupling model should be significant in precisely analyzing the diffusion process and mechanical properties of materials or structures in chemomechanical coupling environments.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105603"},"PeriodicalIF":4.4,"publicationDate":"2025-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143373073","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A 3D micromechanical model for hyperelastic rubber-like materials and its numerical resolution by the Asymptotic Numerical Method (ANM)

IF 4.4 2区工程技术 Q1 MECHANICS

European Journal of Mechanics A-Solids

Pub Date : 2025-02-05 DOI: 10.1016/j.euromechsol.2025.105594

Ayoub Ouardi , Abdellah Hamdaoui , Makrem Arfaoui , Adnane Boukamel , Noureddine Damil

In this work, a

3 D

micromechanical model is developed to describe the behavior of macromolecular chains and to reflect the hyperelastic behavior of rubber-like materials. This model generalizes the

2 D

model recently developed in Ouardi (2023). The behavior law is defined by the minimization of a potential energy, each macromolecular chain has been represented by elastic segments linked by nonlinear elastic spiral nodes. We thus obtain a model with only three characteristic parameters. We investigate, in the

3 D

case, the effect of the number of macro-chain segments and the shape of the Representative Volume Element (RVE) using a high-order algorithm of the family of the Asymptotic Numerical Method (ANM) (Cochelin, 2007). In the ANM algorithm, the solution of the nonlinear problem is sought branch by branch, each branch being represented by a Taylor series. In this way, this high-order algorithm makes it easier to continuously investigate the solution curves. Numerical simulations are presented on different RVEs, four and eight chains models (Arruda and Boyce, 1993), under three types of boundary conditions: uniaxial tension, pure shear and equibiaxial tension. These numerical simulations are compared with experimental data from Treloar (1944) to identify the parameters material and to demonstrate the robustness of the proposed model. The studied chains models show a slight influence of the number of macro-chains and the number of segments in the RVE.

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