European Journal of Mechanics A-Solids最新文献

英文中文

Analytical solutions of film/substrate structure with film bending under elastic boundary and bifurcation deformation analysis

IF 4.4 2区工程技术 Q1 MECHANICS

European Journal of Mechanics A-Solids

Pub Date : 2024-12-17 DOI: 10.1016/j.euromechsol.2024.105538

Kunjie Sun , Jubing Chen , Chen Sun

Axisymmetric film/substrate systems are indispensable in many applications due to their unique structural requirements. Stoney’s formula is widely utilized for analyzing such systems. The existing theories have relaxed the limitations of the Stoney’s formula, but mainly assume that the film thickness can be neglected. This work proposes the theoretical solution of axisymmetric film/substrate structure with elastic boundary considering film bending under non-uniform temperature field. Parameterization and method of constant variation are used to decouple and determine the governing equations. Finite element method validates the influence of elastic support on the stress in each layer of the film. It is found that the boundary supports exert an anti-bending effect on the film. The two-stage calibration method is employed, wherein the first step determines the linear relationships between surface deflection and the deflections of both the film and the substrate, while the second step establishes the linear coefficients and their dependence on material properties. Then the stress inverse solutions for arbitrary specified normal distributions of temperature fields are provided. The curvature bifurcation of the surface deformation from an equi-biaxial spherical shape to a non-equi-biaxial elliptical shape is analyzed using the energy method and variational principle. As the thickness ratio of the film to the substrate increases, higher thermal strain energy is required to reach a critical state of curvature. And it is found that the surface deformation would exhibit a hyperbolic shape as the temperature continued to increase.

{"title":"Analytical solutions of film/substrate structure with film bending under elastic boundary and bifurcation deformation analysis","authors":"Kunjie Sun , Jubing Chen , Chen Sun","doi":"10.1016/j.euromechsol.2024.105538","DOIUrl":"10.1016/j.euromechsol.2024.105538","url":null,"abstract":"<div><div>Axisymmetric film/substrate systems are indispensable in many applications due to their unique structural requirements. Stoney’s formula is widely utilized for analyzing such systems. The existing theories have relaxed the limitations of the Stoney’s formula, but mainly assume that the film thickness can be neglected. This work proposes the theoretical solution of axisymmetric film/substrate structure with elastic boundary considering film bending under non-uniform temperature field. Parameterization and method of constant variation are used to decouple and determine the governing equations. Finite element method validates the influence of elastic support on the stress in each layer of the film. It is found that the boundary supports exert an anti-bending effect on the film. The two-stage calibration method is employed, wherein the first step determines the linear relationships between surface deflection and the deflections of both the film and the substrate, while the second step establishes the linear coefficients and their dependence on material properties. Then the stress inverse solutions for arbitrary specified normal distributions of temperature fields are provided. The curvature bifurcation of the surface deformation from an equi-biaxial spherical shape to a non-equi-biaxial elliptical shape is analyzed using the energy method and variational principle. As the thickness ratio of the film to the substrate increases, higher thermal strain energy is required to reach a critical state of curvature. And it is found that the surface deformation would exhibit a hyperbolic shape as the temperature continued to increase.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105538"},"PeriodicalIF":4.4,"publicationDate":"2024-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143136290","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

In silico actuation performance investigation of dielectric elastomers with TPMS geometries

IF 4.4 2区工程技术 Q1 MECHANICS

European Journal of Mechanics A-Solids

Pub Date : 2024-12-15 DOI: 10.1016/j.euromechsol.2024.105540

Mohammad Ali Safaei , Mostafa Baghani , Majid Baniassadi , Mahdi Bodaghi

Dielectric Elastomer Actuators (DEAs) are highly efficient soft actuators widely used in soft robotics and artificial muscles due to their superior actuation capabilities. Introducing two-phase structures to DEAs offers potential benefits, particularly in reducing operational voltages. However, this approach poses significant challenges due to both physical and numerical constraints. This study investigates the distinctive actuation performance of two-phase microstructure DEAs, designed using a class of architected materials known as Triply Periodic Minimal Surfaces (TPMS), and compares them with Random Heterogeneous Microstructures. Six well-known TPMS geometries, including Gyroid, Schwarz-P, and IWP structures, are employed. In addition to actuation performance, localized electric fields and blocking forces are analyzed for all microstructures to provide a comprehensive understanding of their behavior. The quasi-static, fully coupled governing equations of DEAs are implemented in ABAQUS software using a reliable in-silico FEM approach. The results reveal that DEAs based on TPMS geometries exhibit intrinsic advantages over their random counterparts in terms of actuation performance. Notably, the microstructure named Octo demonstrates the highest improvement, showing a 9.9% increase in actuation performance compared to Random Microstructures. However, this trend is reversed with respect to blocking forces, where Random Microstructures exhibit higher values. The analysis of localized electric fields indicates that both TPMS- and Random-based microstructures have the potential to offer relatively low localized fields. These findings represent a preliminary step toward the development of multi-phase DEA composites with architected geometries.

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引用次数: 0

Numerical analyses of pentamodes metamaterials behavior under harmonic loading conditions

IF 4.4 2区工程技术 Q1 MECHANICS

European Journal of Mechanics A-Solids

Pub Date : 2024-12-12 DOI: 10.1016/j.euromechsol.2024.105536

P.N. Lymperopoulos, E.E. Theotokoglou

Pentamodes lattice structures are very interesting types of structures that present high resistance to compressive deformation relatively to small resistance to shear deformation. They are also developed to confront time dependent forces. Considering that the harmonic forces should not be synchronized with the natural frequencies of the pentamode structures, since this would lead to failure of the structures, it is very important to analyze such behavior. In this study, computational analyses over pentamodes behavior under the different frequencies of the harmonic loading have taken place for the effective shear and compressive moduli. For the first time the behaviour of pentamodes made of different materials and dimensions has been studied under harmonic loading. In addition from the numerical modelling, the relative bandgap is also investigated. From our analyses it is also concluded that pentamodes with different materials and the same dimensions have different bandgap.

引用次数: 0

Tensile strength prediction of fiber-reinforced polymer composites through layered interphase and chemical bonding: A semi-empirical micromechanical model

IF 4.4 2区工程技术 Q1 MECHANICS

European Journal of Mechanics A-Solids

Pub Date : 2024-12-12 DOI: 10.1016/j.euromechsol.2024.105533

Jesus A. Rodriguez-Morales , Chentong Gao , Huiyu Sun

Fiber-reinforced polymer composites (FRPC) are essential for high-performance applications. However, concerns about their reliability persist owing to their heterogeneous structure across multiple length scales and the critical role of interphases in controlling their performance. In this article, we introduce a semi-empirical micromechanical model that quantitatively considers the impact of chemical treatments on improving interfacial adherence without relying on the Interfacial Shear Strength (IFSS), which is commonly known for posing challenges in characterization. The model predictions across a wide range of FRPC systems are validated against experimental data from the literature, indicating its reasonability and accuracy. Moreover, we analyze the role of parameters affecting fiber–matrix interphase performance, along with a comparison between the Kelly–Tyson model and the modified rule of mixtures. This article provides a simple, practical, and accurate approach to estimating the tensile strength of composite polymer systems and offers insights into the complex role of interphases in overall performance.

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引用次数: 0

Vibration attenuation of metamaterial dual-beam with simultaneous acoustic black hole and local resonator

IF 4.4 2区工程技术 Q1 MECHANICS

European Journal of Mechanics A-Solids

Pub Date : 2024-12-10 DOI: 10.1016/j.euromechsol.2024.105535

Yunrui Han , Xinhua Chen , Yuhua Wei , Shuai Jiang , Cong Du , Guoqing Jiang , Han Zhang

In this work, a metamaterial dual-beam (MDB) structure with simultaneous acoustic black hole (ABH) and local resonator (LR) is proposed for achieving broadband vibration reduction effects in low frequency range. The MDB consists of periodically arranged dual-beam unit cells, with each unit cell comprising two upper wedge-shaped acoustic black hole beams, two lower wedge-shaped acoustic black hole beams, and spring-mass-spring resonators connecting the upper and lower beams. The dynamic stiffness matrix of the dual-beam is derived and calculated, followed by the calculation of the frequency response under initial excitation. The analysis reveals distinct local resonance band gaps and Bragg scattering band gaps in the frequency response. Finite element method simulations are conducted, showing good agreement between the frequency response curves and dispersion curves. Moreover, the coupling relationship between the local resonance band gaps and Bragg band gaps was investigated. In essence, significant vibration reduction effects in the ultra-low frequency range have been achieved. To study the effects of beam height, beam length, and spring stiffness on the band gaps, parameter analyses are conducted. Moreover, models of multi-span beams are examined, revealing ultra-low frequency band gaps starting from 0 Hz. This study offers guidance in dual-beam structures at broadband vibration reduction effects in low frequency range.

{"title":"Vibration attenuation of metamaterial dual-beam with simultaneous acoustic black hole and local resonator","authors":"Yunrui Han , Xinhua Chen , Yuhua Wei , Shuai Jiang , Cong Du , Guoqing Jiang , Han Zhang","doi":"10.1016/j.euromechsol.2024.105535","DOIUrl":"10.1016/j.euromechsol.2024.105535","url":null,"abstract":"<div><div>In this work, a metamaterial dual-beam (MDB) structure with simultaneous acoustic black hole (ABH) and local resonator (LR) is proposed for achieving broadband vibration reduction effects in low frequency range. The MDB consists of periodically arranged dual-beam unit cells, with each unit cell comprising two upper wedge-shaped acoustic black hole beams, two lower wedge-shaped acoustic black hole beams, and spring-mass-spring resonators connecting the upper and lower beams. The dynamic stiffness matrix of the dual-beam is derived and calculated, followed by the calculation of the frequency response under initial excitation. The analysis reveals distinct local resonance band gaps and Bragg scattering band gaps in the frequency response. Finite element method simulations are conducted, showing good agreement between the frequency response curves and dispersion curves. Moreover, the coupling relationship between the local resonance band gaps and Bragg band gaps was investigated. In essence, significant vibration reduction effects in the ultra-low frequency range have been achieved. To study the effects of beam height, beam length, and spring stiffness on the band gaps, parameter analyses are conducted. Moreover, models of multi-span beams are examined, revealing ultra-low frequency band gaps starting from 0 Hz. This study offers guidance in dual-beam structures at broadband vibration reduction effects in low frequency range.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105535"},"PeriodicalIF":4.4,"publicationDate":"2024-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143136207","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 dual-variable influence function based ring-core method for residual stress prediction at small scales

IF 4.4 2区工程技术 Q1 MECHANICS

European Journal of Mechanics A-Solids

Pub Date : 2024-12-10 DOI: 10.1016/j.euromechsol.2024.105526

Kai Guo , Jianfei Huang , Zhen Zhang

Understanding the fundamental origins of mechanical failure demands accurate residual stress evaluation at microscale. This makes small scale strain relief based residual stress quantification considerably promising. Single-variable influence function based FIB-DIC ring-core procedure is a competitive residual stress measurement method, especially suitable for small-scale residual stress prediction. The method has been widely used in residual stress assessment of additive manufacturing and welding structure. However, the performance of original single-variable influence function based method becomes unsatisfactory under high stress gradient. In addition, previous work fails to emphasize the uncertainties due to measurement noise, although the accuracy and stability of the method are sensitive to the noise. The solution algorithm of residual stress exhibits significant fluctuations in the presence of measurement noise.

This study proposes a dual-variable influence function to predict residual stress at small scales. This will allow informatively characterizing the relationship between strain relief and eigenstrain. Then, a calibration method of dual-variable influence function is proposed based on the variable separation approach. Compared with original single-variable influence function based method, the proposed method performs encouragingly well by reducing the error considerably to 12%, and increasing the effective measurement range by 7 times when predicting the residual stress with high gradient. In addition, a solution algorithm is proposed based on Tikhonov regularization to deal with measurement noise induced evaluation uncertainties, the regularization algorithm further promotes the solution stability.

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引用次数: 0

A new drop weight tensile testing system for soft matter at intermediate strain rates

IF 4.4 2区工程技术 Q1 MECHANICS

European Journal of Mechanics A-Solids

Pub Date : 2024-12-09 DOI: 10.1016/j.euromechsol.2024.105507

Juan Carlos Nieto-Fuentes , Adeline Wihardja , Paul Stovall , Trent Wilson , Kaushik Bhattacharya , Daniel Rittel

This paper presents a novel and versatile tensile testing system based on the drop weight technique, specifically designed for materials that can undergo significant tensile deformation, such as elastomers. The core apparatus comprises of a hanging slender bar, from which a steel sleeve (referred to as the striker) is released under controlled conditions. Accelerated in free fall, the striker impacts a stationary plate, initially held in place by a mechanical detent. The specimen, secured by a gripping system between the hanging bar and the stationary support, undergoes controlled stretching at a nearly constant velocity upon the release of the detent triggered by the striker’s impact. Full-field strain measurement is obtained using a high-speed camera in conjunction with digital image correlation. Additionally, strategically located piezoresistive force sensors enable real-time force measurements. By achieving strain rates ranging from 100 s⁻¹ to 500 s⁻¹, this system addresses a notable gap in the literature concerning intermediate strain rate testing for soft materials.

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引用次数: 0

A statistical yield model for porous polycrystals

IF 4.4 2区工程技术 Q1 MECHANICS

European Journal of Mechanics A-Solids

Pub Date : 2024-12-09 DOI: 10.1016/j.euromechsol.2024.105534

Yingjie Wang , Yaxin Zhu , Lv Zhao , Shuang Liang , Minsheng Huang , Zhenhuan Li

The famous Gurson model and its modified versions, through which the constitutive relationship and the evolution of void volume fraction with strain can be derived, have been widely used in the study of deformation and damage behavior of porous materials. However, the Gurson-type models are based on the assumption that matrix around voids is homogeneous and isotropic. In fact, in actual polycrystalline materials, voids and surrounding grains are generally at the same scale level, so the matrix that can be felt by the void is inherently heterogeneous and anisotropic. In this sense, whether the Gurson model can accurately characterize the yield of porous polycrystals becomes a question that needs to be answered. In this work, a representative volume unit (RVU) model with a central void and randomly oriented and shaped grains is built. By performing crystal plasticity finite element simulations on this polycrystalline RVU, the yield behavior of the porous polycrystals under different triaxial stress states is systematically studied, with a focus on how the random orientations and morphologies of the grains around the void affect the overall initial yield of the porous polycrystals. On this basis, a statistical yield model which takes into account the random orientations and morphologies of the grains around the void is built. Compared with the classical Gurson model, this statistical yield model can well envelop almost all dispersed yield points of the polycrystalline RVUs at different stress triaxialities.

{"title":"A statistical yield model for porous polycrystals","authors":"Yingjie Wang , Yaxin Zhu , Lv Zhao , Shuang Liang , Minsheng Huang , Zhenhuan Li","doi":"10.1016/j.euromechsol.2024.105534","DOIUrl":"10.1016/j.euromechsol.2024.105534","url":null,"abstract":"<div><div>The famous Gurson model and its modified versions, through which the constitutive relationship and the evolution of void volume fraction with strain can be derived, have been widely used in the study of deformation and damage behavior of porous materials. However, the Gurson-type models are based on the assumption that matrix around voids is homogeneous and isotropic. In fact, in actual polycrystalline materials, voids and surrounding grains are generally at the same scale level, so the matrix that can be felt by the void is inherently heterogeneous and anisotropic. In this sense, whether the Gurson model can accurately characterize the yield of porous polycrystals becomes a question that needs to be answered. In this work, a representative volume unit (RVU) model with a central void and randomly oriented and shaped grains is built. By performing crystal plasticity finite element simulations on this polycrystalline RVU, the yield behavior of the porous polycrystals under different triaxial stress states is systematically studied, with a focus on how the random orientations and morphologies of the grains around the void affect the overall initial yield of the porous polycrystals. On this basis, a statistical yield model which takes into account the random orientations and morphologies of the grains around the void is built. Compared with the classical Gurson model, this statistical yield model can well envelop almost all dispersed yield points of the polycrystalline RVUs at different stress triaxialities.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105534"},"PeriodicalIF":4.4,"publicationDate":"2024-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143136206","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

Reflection–transmission coefficients of SH waves across thin-walled spring-membrane strain gradient interface

IF 4.4 2区工程技术 Q1 MECHANICS

European Journal of Mechanics A-Solids

Pub Date : 2024-12-09 DOI: 10.1016/j.euromechsol.2024.105531

Sunita Kumawat, Sumit Kumar Vishwakarma

The current investigation focuses on the reflection and refraction phenomena of SH waves as they encounter two distinct non-ideal interfaces positioned between two half-spaces. The initial interface consists of a spring layer positioned between two membranes, while the second interface is comprised of a thin membrane based on strain gradient principles. Notably, the investigation is done for two cases, namely, the Spring Membrane Strain Gradient (SMSG) and the Spring Membrane Surface Elasticity (SMSE). Analytical derivations have been performed for the reflection and transmission coefficients, as well as the phase shifts associated with both interfaces in the context of reflection and refraction phenomena. The case SMSE and SMSG have the potential to transition into alternative interface models when specific limits of the interface parameters are applied, which has been discussed in detail as particular cases. Moreover, to enhance the understanding of the diverse parameters, we have graphically represented the amplitude ratios and phase shifts mentioned above. When examining the behavior of reflection and refraction coefficients at different angles of incidence, the presence of one versus two interfaces introduces additional complexity. As the angle of incidence increases the interaction between the wave and the material interfaces changes. This complex interplay is crucial for designing materials and structures in applications like acoustic insulation, optical devices, and advanced engineering materials.

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引用次数: 0

Hysteresis in knurled interference fits

IF 4.4 2区工程技术 Q1 MECHANICS

European Journal of Mechanics A-Solids

Pub Date : 2024-12-07 DOI: 10.1016/j.euromechsol.2024.105528

Leonhard Kilian Doppelbauer, Alexander Humer, Astrid Pechstein, Michael Krommer

Shaft-hub connections are an important feature of many machines, with knurled interference fits (KIFs) being a novel connection method. While conventional shaft-hub connections use either friction or form closure, KIFs represent a combination offering the advantages of both concepts. To investigate the behavior of such a connection, a computational model of a knurled interference fit is developed. Assuming rotational symmetry, modeling a periodic unit cell of the setup is sufficient. This assumption does not only greatly alleviate the demands on computing power, but also allows to analyze the hysteretic behavior of the connection in a phenomenological way. Parameter studies indicate changes in the transmissible loads and stiffness of the connection when varying geometric dimensions such as tooth height and angle, material and contact characteristics or applied loads. Notably, the hysteresis behavior of KIFs differs significantly from conventional connections like interference fits with smooth shaft-hub interfaces, particularly due to coupling between the radial and circumferential directions due to the tooth angle. Moreover, the simulations demonstrate that a certain stick–slip behavior may also occur in frictionless settings as a result of the geometry.

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