European Journal of Mechanics A-Solids最新文献_第8页

A comparison of finite strain viscoelastic models based on the multiplicative decomposition 基于乘法分解的有限应变粘弹性模型比较

IF 4.4 2区工程技术

European Journal of Mechanics A-Solids Pub Date : 2024-08-28 DOI: 10.1016/j.euromechsol.2024.105424

F. Gouhier, J. Diani

引用次数: 0

Analytical solutions to Mode I penny-shaped crack problems in two-dimensional hexagonal quasicrystals with piezoelectric effect 具有压电效应的二维六方准晶体中模式 I 笔形裂缝问题的解析解

IF 4.4 2区工程技术

European Journal of Mechanics A-Solids Pub Date : 2024-08-28 DOI: 10.1016/j.euromechsol.2024.105425

Yuan Li , Shuhang Tang , Jingli Ren , Shujie Yan , Minghao Zhao

{"title":"Analytical solutions to Mode I penny-shaped crack problems in two-dimensional hexagonal quasicrystals with piezoelectric effect","authors":"Yuan Li , Shuhang Tang , Jingli Ren , Shujie Yan , Minghao Zhao","doi":"10.1016/j.euromechsol.2024.105425","DOIUrl":"10.1016/j.euromechsol.2024.105425","url":null,"abstract":"<div><p>The paper studies a penny-shaped crack in an infinite three-dimensional body of two-dimensional hexagonal quasicrystal media with piezoelectric effect. The crack surfaces are applied combined electric and normal phonon loadings. Such a Model I crack problem is transformed into a mixed boundary value problem in the upper half-space, which is analytically solved using Fabrikant's potential theory method. The boundary integral-differential equations governing Model I crack problems are presented for two-dimensional hexagonal piezoelectric quasicrystals. The normal phonon displacement discontinuity and electric potential discontinuity across crack surfaces are taken as the unknown variables of boundary governing equations. Analytical solutions of all field variables are derived not only for the crack plane but also for the full space. Solutions in integral form are provided for the penny-shaped crack under arbitrarily distributed electric and normal phonon loadings. Closed-form solutions in terms of elementary functions are given for concentrated point loadings and uniformly distributed loadings, respectively. Key fracture mechanics parameters, such as crack surface extended displacements (i.e., normal phonon displacement, electric potential), crack tip extended stresses (i.e., normal phonon stress, electric displacement) distribution, and corresponding extended stress intensity factors, are clearly derived. Numerical results are utilized to verify the present analytical solutions and graphically illustrate the distribution of phonon-phason-electric coupling fields around the crack. The present solution can serve as a benchmark for both experimental and numerical investigations.</p></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"108 ","pages":"Article 105425"},"PeriodicalIF":4.4,"publicationDate":"2024-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142122761","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

Dynamics of axially moving spinning microbeams composed of tri-directional graded porous materials with axisymmetric cross-sections and piezoelectric layers in complex fields 由具有轴对称横截面的三向分级多孔材料和压电层组成的轴向移动旋转微梁在复杂场中的动力学特性

IF 4.4 2区工程技术

European Journal of Mechanics A-Solids Pub Date : 2024-08-28 DOI: 10.1016/j.euromechsol.2024.105421

Yue Wang, Shuhong Wang

{"title":"Dynamics of axially moving spinning microbeams composed of tri-directional graded porous materials with axisymmetric cross-sections and piezoelectric layers in complex fields","authors":"Yue Wang, Shuhong Wang","doi":"10.1016/j.euromechsol.2024.105421","DOIUrl":"10.1016/j.euromechsol.2024.105421","url":null,"abstract":"<div><p>The current article appraises the vibration and stability of tri-directional functionally graded porous microscale beams with rectangular cross-sections integrated with piezoelectric layers under spinning and axial movements in complex environments. The microbeam is surrounded by a three-parameter Winkler-Pasternak-Hetenyi medium, and its material characteristics are graded in thickness, width, and longitudinal spatial directions by considering non-uniform and uniform porosity models. Dynamic equations, vibration frequencies, and stability criteria of the system are determined with the aid of the Galerkin approach and Laplace transform. The Campbell diagram and stability maps are drawn. Frequency and stability analyses, as well as comparison and parametric analyses, are conducted. The impacts of piezoelectric voltage, magneto-hygro-thermal fields, axial and tangential distributed follower forces, substrate characteristics, scale parameter, aspect ratio, porosity factor, and material gradation on flutter and divergence instability boundaries are assessed in detail. It is deduced that instability regions are condensed, and the instability threshold is enhanced by fine-adjusting the porosity and material gradient. It is discovered that destructive environmental effects can be alleviated by regulating the piezoelectric voltage. In addition, compared with the case of a square cross-section, the divergence/flutter instability region of the microbeam with a rectangular cross-section is smaller/larger. The outcomes of the present research can be helpful in the design of next-generation bi-gyroscopic systems.</p></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"108 ","pages":"Article 105421"},"PeriodicalIF":4.4,"publicationDate":"2024-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142135816","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

Static and dynamic stabilities of modified gradient elastic Kirchhoff–Love plates 改良梯度弹性基尔霍夫-洛夫板的静态和动态稳定性

IF 4.4 2区工程技术

European Journal of Mechanics A-Solids Pub Date : 2024-08-26 DOI: 10.1016/j.euromechsol.2024.105426

Yucheng Zhou, Kefu Huang

{"title":"Static and dynamic stabilities of modified gradient elastic Kirchhoff–Love plates","authors":"Yucheng Zhou, Kefu Huang","doi":"10.1016/j.euromechsol.2024.105426","DOIUrl":"10.1016/j.euromechsol.2024.105426","url":null,"abstract":"<div><p>The static and dynamic stabilities of modified gradient elastic Kirchhoff–Love plates (MGEKLPs), which incorporate two length-scale parameters related to strain gradient and rotation gradient effects, are comprehensively analyzed under various load forms and boundary conditions (BCs). The study of static stability employs static balance method and an improved energy method by introducing higher-order deformation gradients and corresponding energy terms. Utilizing the variational method, a sixth-order fundamental buckling differential equation for MGEKLPs under both transverse and in-plane loads is derived, serving as the foundation for the static balance method. The static stability analysis of MGEKLPs examines the combined effects of strain and rotation gradients on size-dependent critical buckling loads. Building on generalized strain energy with higher-order deformation energy, the energy method of classical elastic thin plate model is enhanced and applied to the static stability analysis of MGEKLPs. This approach enables the investigation of static stability without being constrained by the need to solve complex differential equations, making it applicable to various BCs and load scenarios. While static stability provides a description of stable state of an elastic system, dynamic stability offers a more scientific and rigorous analysis. The dynamic stability of simplified gradient elastic Kirchhoff–Love plates (SGEKLPs) with curved edges and different BCs is further investigated by combining the generalized strain energy with Lyapunov’s second stability method, presenting the dynamic stability criterion in the form of norms. A strict description of the dynamic stability of a SGEKLP over the entire time domain is provided for different supporting conditions, including case where all edges are supported and case with free edges. The analysis of size-dependent static and dynamic stabilities offers theoretical guidance for designing elastic thin plates with microstructures.</p></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"108 ","pages":"Article 105426"},"PeriodicalIF":4.4,"publicationDate":"2024-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142089715","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

Revisiting the nonlinear elastic problem of internally constrained beams in a perturbation perspective 从扰动角度重新审视内约束梁的非线性弹性问题

IF 4.4 2区工程技术

European Journal of Mechanics A-Solids Pub Date : 2024-08-23 DOI: 10.1016/j.euromechsol.2024.105422

A. Luongo , D. Zulli , F. D’Annibale , A. Casalotti

{"title":"Revisiting the nonlinear elastic problem of internally constrained beams in a perturbation perspective","authors":"A. Luongo , D. Zulli , F. D’Annibale , A. Casalotti","doi":"10.1016/j.euromechsol.2024.105422","DOIUrl":"10.1016/j.euromechsol.2024.105422","url":null,"abstract":"<div><p>Unshearable and inextensible planar beams, in a static regime of finite displacements, are studied in this paper. A nonlinear mixed model is derived via a direct approach, in which displacements and reactive internal forces are taken as unknowns. The elasto-static problem is then addressed, and the role of the boundary conditions is systematically discussed. The relevant solutions for selected classes of problems are pursued via a perturbation method. It is shown that each considered class calls for a specific algorithm, accounting for a proper scaling and expansion of the variables. Finally, the asymptotic solutions are compared with benchmark numerical computations, grounded on finite-element analyses. The paper is focused on the case of longitudinal force significantly smaller than the buckling load, leaving the case of large force to future developments, where a different perturbation scheme is required.</p></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"108 ","pages":"Article 105422"},"PeriodicalIF":4.4,"publicationDate":"2024-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S099775382400202X/pdfft?md5=ed98320556714dfd7ec0ed409783d3cc&pid=1-s2.0-S099775382400202X-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142097981","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

Theoretical and experimental research on multi-modal vibration control of flexible beams via the multiple-input multiple-output decoupling control strategy 通过多输入多输出解耦控制策略实现柔性梁多模式振动控制的理论与实验研究

IF 4.4 2区工程技术

European Journal of Mechanics A-Solids Pub Date : 2024-08-14 DOI: 10.1016/j.euromechsol.2024.105420

Xian Guang Sun , Wei Chao Chi , Yan Qing Wang

{"title":"Theoretical and experimental research on multi-modal vibration control of flexible beams via the multiple-input multiple-output decoupling control strategy","authors":"Xian Guang Sun , Wei Chao Chi , Yan Qing Wang","doi":"10.1016/j.euromechsol.2024.105420","DOIUrl":"10.1016/j.euromechsol.2024.105420","url":null,"abstract":"<div><p>In this study, a multiple-input multiple-output decoupling control (MIMO-DC) strategy is proposed based on the linear active disturbance rejection control (LADRC) algorithm to suppress the multi-modal vibration of flexible beams. Firstly, the dynamic equation of flexible beams is established using the Euler-Bernoulli beam theory. Then, a virtual control vector is introduced to decouple the MIMO system. The effectiveness of the flexible beam model is verified by comparing it with the experimental frequency response. Finally, experimental studies are carried out to analyze the vibration suppression performance of three control forms in suppressing the vibration of flexible beams under first-order modal excitation, second-order modal excitation, multi-modal excitation, variable multi-modal excitation, and multi-modal excitation with random disturbance, respectively. The robustness of the MIMO-DC strategy against parameter perturbations is also studied. The results show that the proposed MIMO-DC strategy not only exhibits excellent control performance for various types of modal excitations but also has strong adaptability to variable multi-modal excitation and strong anti-disturbance ability. Furthermore, the strategy exhibits strong robustness against parameter perturbations.</p></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"108 ","pages":"Article 105420"},"PeriodicalIF":4.4,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141992968","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

Crystal-plasticity modelling of the yield surfaces and anelasticity in the elastoplastic transition of metals 金属弹塑性转变中屈服面和无弹性的晶体塑性模型

IF 4.4 2区工程技术

European Journal of Mechanics A-Solids Pub Date : 2024-08-13 DOI: 10.1016/j.euromechsol.2024.105417

Arash Imani Aria, Bjørn Holmedal, Tomáš Mánik, Knut Marthinsen

{"title":"Crystal-plasticity modelling of the yield surfaces and anelasticity in the elastoplastic transition of metals","authors":"Arash Imani Aria, Bjørn Holmedal, Tomáš Mánik, Knut Marthinsen","doi":"10.1016/j.euromechsol.2024.105417","DOIUrl":"10.1016/j.euromechsol.2024.105417","url":null,"abstract":"<div><p>The paper presents a full-field crystal-plasticity computational investigation of <span><math><mrow><mn>10</mn><mi>μ</mi><mi>ε</mi></mrow></math></span> small-strain-offset yield surfaces with pointed vertexes that are seen in the elastoplastic transition of pre-strained polycrystal metals. It is concluded that the shape of these yield surfaces obtained with a full-field spectral solver compares reasonably well with calculated ones by a simple aggregate Taylor model. The influence of material strength, work hardening, and texture are discussed. An assessment is made of the origin of anelasticity and Bauschinger effects at small strains, considering two mechanisms. Firstly, there is a built-in composite effect in crystal elastoplastic simulations due to the mixture of elastically and plastically loaded grains. Secondly, kinematic hardening of reverse slip systems will contribute to the Bauschinger effect. Based on analyses of the computed selected cases and comparison to previously published measurements, it is concluded that both mechanisms are important.</p></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"108 ","pages":"Article 105417"},"PeriodicalIF":4.4,"publicationDate":"2024-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142002004","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

Coupling Phase Field Crystal and Field Dislocation Mechanics for a consistent description of dislocation structure and elasticity 耦合相场晶体学和场位错力学，实现对位错结构和弹性的一致描述

IF 4.4 2区工程技术

European Journal of Mechanics A-Solids Pub Date : 2024-08-12 DOI: 10.1016/j.euromechsol.2024.105419

Manas V. Upadhyay , Jorge Viñals

{"title":"Coupling Phase Field Crystal and Field Dislocation Mechanics for a consistent description of dislocation structure and elasticity","authors":"Manas V. Upadhyay , Jorge Viñals","doi":"10.1016/j.euromechsol.2024.105419","DOIUrl":"10.1016/j.euromechsol.2024.105419","url":null,"abstract":"<div><p>This work addresses differences in predicted elastic fields created by dislocations either by the Phase Field Crystal (PFC) model, or by static Field Dislocation Mechanics (FDM). The PFC order parameter describes the topological content of the lattice, but it fails to correctly capture the elastic distortion. In contrast, static FDM correctly captures the latter but requires input about defect cores. The case of a dislocation dipole in two dimensional, isotropic, elastic medium is studied, and a weak coupling is introduced between the two models. The PFC model produces compact and stable dislocation cores, free of any singularity, i.e., diffuse. The PFC predicted dislocation density field (a measure of the topological defect content) is used as the source (input) for the static FDM problem. This coupling allows a critical analysis of the relative role played by configurational (from PFC) and elastic (from static FDM) fields in the theory, and of the consequences of the lack of elastic relaxation in the diffusive evolution of the PFC order parameter.</p></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"108 ","pages":"Article 105419"},"PeriodicalIF":4.4,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0997753824001992/pdfft?md5=45cac6a7d45f2bf83cc48faca7be7367&pid=1-s2.0-S0997753824001992-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142006798","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

A thermodynamic framework for ductile phase-field fracture and gradient-enhanced crystal plasticity 韧性相场断裂和梯度增强晶体塑性的热力学框架

IF 4.4 2区工程技术

European Journal of Mechanics A-Solids Pub Date : 2024-08-12 DOI: 10.1016/j.euromechsol.2024.105418

Kim Louisa Auth , Jim Brouzoulis , Magnus Ekh

{"title":"A thermodynamic framework for ductile phase-field fracture and gradient-enhanced crystal plasticity","authors":"Kim Louisa Auth , Jim Brouzoulis , Magnus Ekh","doi":"10.1016/j.euromechsol.2024.105418","DOIUrl":"10.1016/j.euromechsol.2024.105418","url":null,"abstract":"<div><p>This study addresses ductile fracture of single grains in metals by modeling of the formation and propagation of transgranular cracks. A proposed model integrates gradient-extended hardening, phase-field modeling for fracture, and crystal plasticity. It is presented in a thermodynamical framework in large deformation kinematics and accounts for damage irreversibility. A micromorphic approach for variationally and thermodynamically consistent damage irreversibility is adopted. The main objective of this work is to analyze the capability of the proposed model to describe transgranular crack propagation. Further, the micromorphic approach for damage irreversibility is evaluated in the context of the presented ductile phase-field model. This is done by analyzing the impact of gradient-enhanced hardening considering micro-free and micro-hard boundary conditions, studying the effect of the micromorphic regularization parameter, evaluating the performance of the model in ratcheting loading and testing its capability to predict three-dimensional crack propagation. In order to solve the fully coupled global and local equation systems, a staggered solution scheme that extends to the local level is presented.</p></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"108 ","pages":"Article 105418"},"PeriodicalIF":4.4,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0997753824001980/pdfft?md5=4f086ee34a79aa1f4aef62a32d394336&pid=1-s2.0-S0997753824001980-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142044925","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

Derivation of elastic and inelastic characteristics of non-periodic masonry using homogenization techniques and micro-modelling approaches 利用均质化技术和微观建模方法推导非周期性砌体的弹性和非弹性特性

IF 4.4 2区工程技术

European Journal of Mechanics A-Solids Pub Date : 2024-08-11 DOI: 10.1016/j.euromechsol.2024.105416

Giulio Castori

{"title":"Derivation of elastic and inelastic characteristics of non-periodic masonry using homogenization techniques and micro-modelling approaches","authors":"Giulio Castori","doi":"10.1016/j.euromechsol.2024.105416","DOIUrl":"10.1016/j.euromechsol.2024.105416","url":null,"abstract":"<div><p>The present study is aimed to develop an ad hoc four-steps procedure, based on the use of Digital Image Processing (DIP) techniques, homogenization methods and micro-modelling approaches, able to provide an effective tool for characterizing the mechanical properties of non-periodic masonry. More in detail, after creating, through a DIP technique and automated procedures, a finite element mesh from the Red-Green-Blue (RGB) image of a real masonry wall with non-periodic texture (Step 1 and Step 2), a homogenization method, which considers the properties of each masonry constituent (stone units and mortar joints), is used to derive the main elastic characteristics of a homogeneous continuum equivalent to the random masonry (Step 3). Specifically, this estimate can be achieved following the test-windows method based on the use of least-sized partitions subjected to boundary conditions in terms of displacements or stresses until a chosen convergence criterion is fulfilled. The non-linear response is then accomplished by means of a micro-modelling approach (Step 4). To this end, a three-dimensional finite element (FE) analysis can be therefore developed to characterize the main inelastic material parameters of the random masonry. Lastly, as a benchmark of the method, the proposed procedure has been validated against the laboratory outcomes obtained from a previous experimental campaign on non-periodic masonry walls.</p></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"108 ","pages":"Article 105416"},"PeriodicalIF":4.4,"publicationDate":"2024-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0997753824001967/pdfft?md5=bf7dd3c440862f8341fc17829a9296be&pid=1-s2.0-S0997753824001967-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141992969","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