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Field solution and uniformity condition in heterogeneous materials for linear multi-physical problems 线性多物理场问题的异质材料中的场解和均匀性条件
IF 5.7 1区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2025-02-19 DOI: 10.1016/j.ijengsci.2025.104227
Wei Ye
For linear physical problems of equilibrium or steady-state phenomena in uncoupled and coupled cases, their fundamental equations are essentially similar so they can be treated on an equal footing. This work provides a unified formulation of the field solution in heterogeneous materials for linear multi-physical problems. Based on a modified Eshelby's equivalent inclusion model, the fields in the whole domain of the two-phase heterostructure are expressed by a non-uniform multi-physical Eshelby tensor for the inhomogeneity of a general shape. It is found that uniform fields could be created by applying eigenfields and boundary loads under a uniformity condition, which is also derived by an inverse approach. Furthermore, the uniformity condition for multi-phase heterogeneous materials is also found without restrictions on the constituent geometry and statistical homogeneity. This might be helpful for the design and fabrication of heterogeneous materials that could lead to some novel applications in certain scenarios.
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引用次数: 0
Spring-membrane models to study Love-type surface wave in smart composite structure: A comparative analysis
IF 5.7 1区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2025-02-14 DOI: 10.1016/j.ijengsci.2025.104225
Richa Kumari , Santan Kumar
This work delves into modelling and analysis of Love-type (LT) wave propagation in imperfectly bonded piezomagnetic stratum to a piezoelectric substrate under the influence of mass loading (ML) by developing three distinct models, viz. spring interface model (SIM), membrane interface model (MIM) and spring-membrane interface model (SMIM). Each of these models accounts to the presence of interfacial imperfection between stratum-substrate configuration. Variable separable approach is employed to establish dispersion relations corresponding to aforementioned models in view of associated magneto-electric boundary and continuity conditions. The established dispersion relations, when deduced as special case, concur well with the results existing in literature. With aid of numerical computation, effects of affecting parameters, viz. magneto-mechanical and electro-mechanical coupling parameters, spring interface parameters, membrane interface density parameter, mass loading sensitivity and wave number, on phase velocity of LT wave are traced out graphically. The computational results manifest prominent influence of interfacial imperfections on the attributes of propagating wave. A comparative analysis for dispersion curves with and without mass loading and for sensitivity due to mass loading pertaining to considered models is also demonstrated. The outgrowth of this study may be applied in the design of surface acoustic wave devices (SAWD) such as Love wave sensor.
{"title":"Spring-membrane models to study Love-type surface wave in smart composite structure: A comparative analysis","authors":"Richa Kumari ,&nbsp;Santan Kumar","doi":"10.1016/j.ijengsci.2025.104225","DOIUrl":"10.1016/j.ijengsci.2025.104225","url":null,"abstract":"<div><div>This work delves into modelling and analysis of Love-type (LT) wave propagation in imperfectly bonded piezomagnetic stratum to a piezoelectric substrate under the influence of mass loading (ML) by developing three distinct models, viz. spring interface model (SIM), membrane interface model (MIM) and spring-membrane interface model (SMIM). Each of these models accounts to the presence of interfacial imperfection between stratum-substrate configuration. Variable separable approach is employed to establish dispersion relations corresponding to aforementioned models in view of associated magneto-electric boundary and continuity conditions. The established dispersion relations, when deduced as special case, concur well with the results existing in literature. With aid of numerical computation, effects of affecting parameters, viz. magneto-mechanical and electro-mechanical coupling parameters, spring interface parameters, membrane interface density parameter, mass loading sensitivity and wave number, on phase velocity of LT wave are traced out graphically. The computational results manifest prominent influence of interfacial imperfections on the attributes of propagating wave. A comparative analysis for dispersion curves with and without mass loading and for sensitivity due to mass loading pertaining to considered models is also demonstrated. The outgrowth of this study may be applied in the design of surface acoustic wave devices (SAWD) such as Love wave sensor.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"209 ","pages":"Article 104225"},"PeriodicalIF":5.7,"publicationDate":"2025-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143422330","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
Addendum to: “Dynamics of incompressible fluids with incompatible distortion rates” [International Journal of Engineering Science 168C (2021)]
IF 5.7 1区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2025-02-13 DOI: 10.1016/j.ijengsci.2024.104162
Roger Fosdick , Eliot Fried
Fosdick and Fried (2021) proposed a generalized Navier–Stokes theory for studying the dynamics of incompressible fluids which, under certain flow conditions, may support incompatible distortion rates. Herein, we complete the development of a comprehensive boundary condition, at a fixed wall, for the incompatibility tensor G of that theory; we clarify the physical conditions which express the presence of incompatibility at a wall and, thus, its transmission into the adjacent fluid. The final condition incorporates a constitutively prescribed threshold τc for the magnitude of the shear stress vector s at the wall. For |s|<τc, G=O. For |s|τc, G=γ(1tt)+Gntnt, where γ is a material constant, t and n are appropriately defined orthonormal tangent vectors to the wall and Gnt is a possibly non-zero component of G at the wall.
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引用次数: 0
A configuration-driven nonlocal model for functionally graded lattices
IF 5.7 1区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2025-02-11 DOI: 10.1016/j.ijengsci.2025.104222
Shuo Li , Ke Duan , Yonglyu He , Li Li
Existing nonlocal models cannot accurately capture the size-dependent mechanical behavior of functionally graded lattices because they assume constant intrinsic length, which oversimplifies the nonlocal effects of varying lattice topology microstructures. In this paper, we unveil that the intrinsic length obeys a gradient law determined by the configuration of the functionally graded lattices. Based on the unveiled gradient law, a configuration-driven nonlocal model is developed to predict the size-dependent mechanical behavior of axially graded lattices. An offline dataset of the intrinsic length is constructed based on the gradient law and the high-throughput simulations. With the help of the offline dataset, the configuration-driven nonlocal model can be used to accurately and efficiently analyze the mechanical behaviors of the functionally graded lattices online. The configuration-driven nonlocal model improves the accuracy of the classic micromechanics homogenization method and reduces the computational cost of the high-resolution finite element method. The developed model not only guides the design of functionally graded lattices but also offers an effective multiscale approach for their performance prediction.
{"title":"A configuration-driven nonlocal model for functionally graded lattices","authors":"Shuo Li ,&nbsp;Ke Duan ,&nbsp;Yonglyu He ,&nbsp;Li Li","doi":"10.1016/j.ijengsci.2025.104222","DOIUrl":"10.1016/j.ijengsci.2025.104222","url":null,"abstract":"<div><div>Existing nonlocal models cannot accurately capture the size-dependent mechanical behavior of functionally graded lattices because they assume constant intrinsic length, which oversimplifies the nonlocal effects of varying lattice topology microstructures. In this paper, we unveil that the intrinsic length obeys a gradient law determined by the configuration of the functionally graded lattices. Based on the unveiled gradient law, a configuration-driven nonlocal model is developed to predict the size-dependent mechanical behavior of axially graded lattices. An offline dataset of the intrinsic length is constructed based on the gradient law and the high-throughput simulations. With the help of the offline dataset, the configuration-driven nonlocal model can be used to accurately and efficiently analyze the mechanical behaviors of the functionally graded lattices online. The configuration-driven nonlocal model improves the accuracy of the classic micromechanics homogenization method and reduces the computational cost of the high-resolution finite element method. The developed model not only guides the design of functionally graded lattices but also offers an effective multiscale approach for their performance prediction.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"209 ","pages":"Article 104222"},"PeriodicalIF":5.7,"publicationDate":"2025-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143378434","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
Dynamics of a thin elastic coating
IF 5.7 1区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2025-02-10 DOI: 10.1016/j.ijengsci.2025.104221
Nihal Ege , Barış Erbaş , Julius Kaplunov , Hazel Yücel
Forced vibrations of a thin elastic coating are considered. A long wave, multimode approximation is derived from the original 3D setup. It is governed by a 2D equation with the coefficients depending on trigonometric functions of the frequency parameter. The related explicit dispersion relations appear to be of general interest as well. Although the developed asymptotic formulation is oriented to the analysis of the effect of normal stresses slowly varying along the upper face of the coating, it is also useful for evaluating the majority of the resonance responses due to δ-type loading. Numerical comparisons between exact and asymptotic predictions are presented.
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引用次数: 0
Asymptotically exact theory of functionally graded elastic beams
IF 5.7 1区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2025-02-03 DOI: 10.1016/j.ijengsci.2025.104214
K.C. Le , T.M. Tran
We construct a one-dimensional first-order theory for functionally graded elastic beams using the variational-asymptotic method. This approach ensures an asymptotically exact one-dimensional equations, allowing for the precise determination of effective stiffnesses in extension, bending, and torsion via numerical solutions of the dual variational problems on the cross-section. Our theory distinguishes itself by offering a rigorous error estimation based on the Prager–Synge identity, which highlights the limits of accuracy and applicability of the derived one-dimensional model for beams with continuously varying elastic moduli across the cross section.
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引用次数: 0
Wave propagation characteristics of quasi-3D graphene origami-enabled auxetic metamaterial plates 准三维石墨烯折纸辅助超材料板的波传播特性
IF 5.7 1区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2025-02-01 DOI: 10.1016/j.ijengsci.2024.104185
Behrouz Karami, Mergen H. Ghayesh
This study presents an investigation into the elastic wave propagation of graphene origami (GO)-enabled auxetic metamaterial plates, using a quasi-three-dimensional (3D) model for the first time. It introduces an eight-parameter quasi-3D theory for the governing equations of motion of the metamaterial plates, including axial, transverse, rotational, and stretching motions through variational algebra. Material properties such as Poisson's ratio, mass density, and Young's modulus are changed along the z-axis and estimated using genetic programming-assisted micromechanics models from the literature. Initial numerical validation is performed by comparison with a simplified model. The study further explores the effects of GO content and its thickness-direction pattern, and GO folding degree on the wave frequency, phase velocity, and the group velocity. The findings indicate that, in general, the GO-enabled metamaterial plate exhibits a higher wave frequency compared to conventional metallic structures.
本研究首次使用准三维(3D)模型对石墨烯折纸(GO)辅助超材料板的弹性波传播进行了研究。它通过变分代数为超材料板的运动控制方程引入了八参数准三维理论,包括轴向、横向、旋转和拉伸运动。泊松比、质量密度和杨氏模量等材料属性沿 Z 轴变化,并使用文献中的遗传编程辅助微力学模型进行估算。通过与简化模型的比较,进行了初步的数值验证。研究进一步探讨了 GO 含量及其厚度方向模式以及 GO 折叠程度对波频、相速度和群速度的影响。研究结果表明,总体而言,与传统金属结构相比,GO 超材料板具有更高的波频。
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引用次数: 0
Prediction of the effective properties of matrix composites via micromechanics-based machine learning
IF 5.7 1区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2025-02-01 DOI: 10.1016/j.ijengsci.2024.104184
E. Polyzos
This study aims to integrate micromechanics-based analytical models with machine learning (ML) models to predict the effective properties of two-phase composites. A novel approach grounded in Maxwell’s effective field method (EFM) is proposed to address the accuracy limitations inherent in micromechanics-based models while minimizing the amount of data needed to fit ML models. Notably, this new approach requires only two macroscale data points to predict the effective properties. The approach is introduced for inhomogeneities of arbitrary shape, orientation, and properties and is applicable to effective thermal, electrical, elastic, and other properties. Two case studies focusing on the elasticity problem are presented to illustrate the applicability and accuracy of the new approach; one involving a particulate composite of copper reinforced with diamond particles, and the other a unidirectional composite of 3D-printed nylon reinforced with Kevlar fibers. The results of these case studies are compared with finite element models and demonstrate an excellent agreement.
{"title":"Prediction of the effective properties of matrix composites via micromechanics-based machine learning","authors":"E. Polyzos","doi":"10.1016/j.ijengsci.2024.104184","DOIUrl":"10.1016/j.ijengsci.2024.104184","url":null,"abstract":"<div><div>This study aims to integrate micromechanics-based analytical models with machine learning (ML) models to predict the effective properties of two-phase composites. A novel approach grounded in Maxwell’s effective field method (EFM) is proposed to address the accuracy limitations inherent in micromechanics-based models while minimizing the amount of data needed to fit ML models. Notably, this new approach requires only two macroscale data points to predict the effective properties. The approach is introduced for inhomogeneities of arbitrary shape, orientation, and properties and is applicable to effective thermal, electrical, elastic, and other properties. Two case studies focusing on the elasticity problem are presented to illustrate the applicability and accuracy of the new approach; one involving a particulate composite of copper reinforced with diamond particles, and the other a unidirectional composite of 3D-printed nylon reinforced with Kevlar fibers. The results of these case studies are compared with finite element models and demonstrate an excellent agreement.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"207 ","pages":"Article 104184"},"PeriodicalIF":5.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143139058","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
Optimising parameters of bone-adaptation model using experimental data
IF 5.7 1区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2025-01-30 DOI: 10.1016/j.ijengsci.2024.104209
Ekaterina Smotrova-Kayali, Simin Li, Vadim V. Silberschmidt
Trabecular bone is a living material that adapts its spatial organisation and mechanical properties when subjected to loading. There were efforts to describe adaptation in trabecular bone with mathematical models regulating resorption and formation activities as a function of mechanical stimuli. In this paper, an approach to optimise parameters of a bone-adaptation model is proposed and investigated, and the simulation results of trabecular-bone adaptation are quantitatively compared with high-resolution peripheral quantitative computed tomography (HR-pQCT) scans of a distal tibia in a participant following six months of physiological loading. For this purpose, finite-element models were developed from baseline scans of the participant's trabecular bone and used as an initial domain to run simulations regulated by the bone-adaptation model implemented in a Fortran subroutine. The simulated results were element-by-element compared with the corresponding models from follow-up HR-pQCT scans. Mechanostat parameters of the bone-adaptation model were optimised to improve correspondence between the simulated and follow-up HR-pQCT-based models.
The developed approach captured the main trends in changes of bone volume fraction, trabecular thickness and separation and achieved 84 – 93 % of the element-by-element correspondence with the experimental models when utilising the optimised values of bone-adaptation parameters. These optimised values were different across the bone's cross-section. In the boundary conditions representing physiological loading, they predicted higher bone resorption rate in the inner regions of distal tibia than in the outer regions, intensified bone resorption in the anterior-inner, medial-inner and medial-outer regions, higher bone formation rate in the outer regions of distal tibia than in the inner regions, and intensified bone formation in the lateral-outer region.
{"title":"Optimising parameters of bone-adaptation model using experimental data","authors":"Ekaterina Smotrova-Kayali,&nbsp;Simin Li,&nbsp;Vadim V. Silberschmidt","doi":"10.1016/j.ijengsci.2024.104209","DOIUrl":"10.1016/j.ijengsci.2024.104209","url":null,"abstract":"<div><div>Trabecular bone is a living material that adapts its spatial organisation and mechanical properties when subjected to loading. There were efforts to describe adaptation in trabecular bone with mathematical models regulating resorption and formation activities as a function of mechanical stimuli. In this paper, an approach to optimise parameters of a bone-adaptation model is proposed and investigated, and the simulation results of trabecular-bone adaptation are quantitatively compared with high-resolution peripheral quantitative computed tomography (HR-pQCT) scans of a distal tibia in a participant following six months of physiological loading. For this purpose, finite-element models were developed from baseline scans of the participant's trabecular bone and used as an initial domain to run simulations regulated by the bone-adaptation model implemented in a Fortran subroutine. The simulated results were element-by-element compared with the corresponding models from follow-up HR-pQCT scans. Mechanostat parameters of the bone-adaptation model were optimised to improve correspondence between the simulated and follow-up HR-pQCT-based models.</div><div>The developed approach captured the main trends in changes of bone volume fraction, trabecular thickness and separation and achieved 84 – 93 % of the element-by-element correspondence with the experimental models when utilising the optimised values of bone-adaptation parameters. These optimised values were different across the bone's cross-section. In the boundary conditions representing physiological loading, they predicted higher bone resorption rate in the inner regions of distal tibia than in the outer regions, intensified bone resorption in the anterior-inner, medial-inner and medial-outer regions, higher bone formation rate in the outer regions of distal tibia than in the inner regions, and intensified bone formation in the lateral-outer region.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"209 ","pages":"Article 104209"},"PeriodicalIF":5.7,"publicationDate":"2025-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143133825","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
Modelling of flat pre-strain driven structures, folding to desired surface and application to 3D-printing on textiles
IF 5.7 1区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2025-01-08 DOI: 10.1016/j.ijengsci.2024.104201
Julia Orlik , David Neusius , Amartya Chakrabortty , Sebastian Backes , Thomas Gries , Konrad Steiner
This paper provides an algorithm for the 3D printing technology, decomposing the entire surface into subdomains of different curvature, to be covered by distance holding reinforcing substructures in each subdomain. The domain decomposition is based on a draping simulation and a membrane stress analysis. The choice of printed substructures is based on our previous mathematical analysis using dimensional reduction and homogenization of textiles, stable and unstable thin fibre structures. Driving shaping mechanisms of 3D printed textiles are modelled and classified. The models are based on some previous and recent mathematical analysis work. The proposed approach is illustrated by some simulations with tool TexMath.
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International Journal of Engineering Science
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