Yingjie Wang , Yaxin Zhu , Lv Zhao , Shuang Liang , Minsheng Huang , Zhenhuan Li
{"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}
{"title":"Reflection–transmission coefficients of SH waves across thin-walled spring-membrane strain gradient interface","authors":"Sunita Kumawat, Sumit Kumar Vishwakarma","doi":"10.1016/j.euromechsol.2024.105531","DOIUrl":"10.1016/j.euromechsol.2024.105531","url":null,"abstract":"<div><div>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.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105531"},"PeriodicalIF":4.4,"publicationDate":"2024-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143136288","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}
Leonhard Kilian Doppelbauer, Alexander Humer, Astrid Pechstein, Michael Krommer
{"title":"Hysteresis in knurled interference fits","authors":"Leonhard Kilian Doppelbauer, Alexander Humer, Astrid Pechstein, Michael Krommer","doi":"10.1016/j.euromechsol.2024.105528","DOIUrl":"10.1016/j.euromechsol.2024.105528","url":null,"abstract":"<div><div>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.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105528"},"PeriodicalIF":4.4,"publicationDate":"2024-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143136209","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}
{"title":"A strain gradient plasticity model to investigate diffusion and dynamic segregation of hydrogen","authors":"David Lindblom, Carl F.O. Dahlberg","doi":"10.1016/j.euromechsol.2024.105527","DOIUrl":"10.1016/j.euromechsol.2024.105527","url":null,"abstract":"<div><div>This paper presents a finite element implementation of strain gradient plasticity (SGP) and coupled hydrogen diffusion. The model encompasses stress-assisted diffusion, solute swelling, and multiple trap sites. The primary achievement of this paper is that a new transport term, that is driven by plastic strain gradients, has been developed and implemented with the finite element method (FEM). The model is applied to the problem of biaxial loading of a solid, under plane strain conditions, featuring a circular hole to investigate the extended transport equation. The results show that the hydrogen concentration increases significantly compared to conventional stress-assisted diffusion. In addition, the localization of hydrogen occurs in regions where there is a restriction on the plastic strain state, such as is often the case around microstructural sites. Together with other mechanisms at play during hydrogen embrittlement this preferential segregation could be used to explain the intergranular fracture mode often observed in experiments.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105527"},"PeriodicalIF":4.4,"publicationDate":"2024-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143136208","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}
{"title":"Boundary element method for three-dimensional couple stress elastostatic analysis","authors":"Gary F. Dargush","doi":"10.1016/j.euromechsol.2024.105532","DOIUrl":"10.1016/j.euromechsol.2024.105532","url":null,"abstract":"<div><div>A boundary element formulation for three-dimensional size-dependent couple stress elastostatic analysis is developed for the first time in the present work. The resulting computational method can play an important role in evaluating the mechanical response of a wide variety of components and systems at the micro- and nano-scale within a continuum framework. Initially, the infinite space fundamental solution is obtained by following the systematic Kupradze method and the remaining kernel functions due to point forces and point couples are derived. Via the reciprocal theorem, the boundary integral representation is then developed, and details of the numerical implementation are provided. In this process, regularization techniques are introduced, along with a novel five-node hybrid displacement-rotation boundary element, to eliminate the need for Cauchy principal value and Hadamard finite part integrals despite the deeply singular nature of the couple stress kernels. Several prototype computational examples are studied to explore the convergence of this new boundary element method and to elucidate some interesting behavior of couple stress theory, including the importance of three-dimensional analysis.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105532"},"PeriodicalIF":4.4,"publicationDate":"2024-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143136228","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}
{"title":"A damage-coupled unified constitutive modelling for predicting the deformation behaviour of 316L under isothermal fatigue and thermo-mechanical fatigue loading conditions","authors":"Qiaofa Yang, Wei Zhang, Peng Niu, Xinghui Chen, Peng Yin, Le Chang, Changyu Zhou","doi":"10.1016/j.euromechsol.2024.105529","DOIUrl":"10.1016/j.euromechsol.2024.105529","url":null,"abstract":"<div><div>Isothermal fatigue (IF) and thermo-mechanical fatigue (TMF) tests are conducted on type 316L austenitic stainless steel within a temperature range of 475 °C–625 °C under symmetric strain-controlled condition. The results indicate that 316L exhibits significant cyclic hardening, strain range memory effect (SRME), temperature history effect (THE), and phase angle effect (PAE). An improved damage-coupled unified viscoplastic constitutive model (DCUVCM) is accordingly developed based on the framework of Chaboche model and a widely-utilized creep-fatigue interaction damage model. In which, cycle- and maximum inelastic strain amplitude-dependent scalar functions are coupled into nonlinear kinematic hardening rules (KHRs) and isotropic hardening rules (IHRs) to describe cyclic hardening and SRME. THE is explained by introducing temperature rate terms into both the KHR and IHR. Moreover, a novel phasing coefficient is incorporated into the damage variable to describe the PAE. Eventually, the excellent agreement between experimental and simulated results under both IF and TMF loadings demonstrates the robustness of the proposed DCUVCM in predicting the whole-life cyclic response and fatigue life of 316L.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105529"},"PeriodicalIF":4.4,"publicationDate":"2024-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143136212","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}
Jiayu Tian , Chenzhe Li , Guohua Nie , Xingwei Zhao , Ying Zhao
{"title":"Prestress-induced 3D assembly of soft material with programmable shape","authors":"Jiayu Tian , Chenzhe Li , Guohua Nie , Xingwei Zhao , Ying Zhao","doi":"10.1016/j.euromechsol.2024.105530","DOIUrl":"10.1016/j.euromechsol.2024.105530","url":null,"abstract":"<div><div>Soft materials are widely employed in wearable electronics, soft robotics and biomedicine due to high deformability and superior flexibility. However, large deformability and flexibility in general come with highly nonlinear viscoelastic behavior, which poses great challenges for traditional polymer processing methods to manufacture these materials into three-dimensional (3D) structures with high precision. Converting flat soft materials into 3D forms through prestress is an effective solution for fabrication of complex 3D morphologies. However, the 3D shapes cannot be customized due to the limit of existent manufacturing strategy, which hinders further application. In this paper, we report a 3D-assembly strategy of customizable shape. It utilizes the spontaneous spring-back of pre-stretched elastomer film upon release as the driving force for shape transformation, creating 3D structure from flat two-dimensional (2D) configuration. Furthermore, the use of digital light processing technology ensures 3D morphologies to be constructed from programmable 2D configurations with high precision. Spiral band and double-curvature surfaces are created from designed 2D patterns as demonstration. In addition, we created a wearable luminous band that spontaneously wrap around fingers under stress relaxation. This work offers a straightforward, controllable, and transferable technique that is efficient for the creation of 3D soft structures.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105530"},"PeriodicalIF":4.4,"publicationDate":"2024-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143136213","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}
{"title":"Beams on elastic foundation: A variable reduction approach for nonlinear contact problems","authors":"Giorgio Previati, Federico Ballo, Pietro Stabile","doi":"10.1016/j.euromechsol.2024.105514","DOIUrl":"10.1016/j.euromechsol.2024.105514","url":null,"abstract":"<div><div>Beams on elastic foundations are applied to a vast number of engineering problems. Several elastic foundation models are available, from the simplest Winkler element with one parameter to complex models with more parameters and nonlinear characteristics. Analytical and numerical approaches have been developed in the literature for the solution of this problem, often specialized for a particular application. In this paper, a novel numerical approach that can be applied to any combination of beam and foundation models is presented. The method is based on independent meshes for the beam and for the foundation. The independent discretization of the foundation opens the possibility to model any kind of foundation behaviour, including nonlinearities, discontinuities and space-dependent properties. The two meshes are then connected by a variable reduction approach, formulated by standard finite element procedures. Such an approach allows to refine the discretization of the foundation without affecting the dimension of the solving system, i.e. with a limited effect on the computational time. Additionally, a relevant advantage of the presented method is that, contrary to most approaches described in the literature, gaps between the beam and the foundation can be straightforwardly included by an energy-based formulation. Examples of applications to linear, nonlinear, and foundation with gaps are reported in the paper. This innovative approach not only simplifies the modelling process but also offers significant computational advantages, making it a versatile and efficient tool for a wide range of engineering applications involving beam–foundation interactions.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105514"},"PeriodicalIF":4.4,"publicationDate":"2024-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143136202","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}
{"title":"Simulation of anisotropic behaviour in additively manufactured structures using a curvilinear coordinate based finite element formulation","authors":"Bruno Musil, Philipp Höfer","doi":"10.1016/j.euromechsol.2024.105501","DOIUrl":"10.1016/j.euromechsol.2024.105501","url":null,"abstract":"<div><div>The advent of additive manufacturing has profoundly transformed component production. However, anisotropic structural behaviour is frequently observed in additively manufactured components, despite the isotropic nature of the constituent materials. This behaviour can be attributed to the manufacturing process, which involves the extrusion and deposition of individual material paths or the powder-based melting of such paths. For example, fused deposition modelling is a common technique employed in the production of polymer components. Technological advancements have enabled the use of fibre reinforcement, which can further amplify anisotropic material behaviour.</div><div>Several computational models and approaches have been proposed for simulating and optimising additively manufactured components treated as an anisotropic continuum. Current methods rely on a finite element discretisation of the continuum, where the print paths are assumed to be linear within a finite element. However, since the print paths are essentially arbitrary curves, a fine discretisation is necessary to achieve realistic simulations.</div><div>In this work, we propose a curvilinear local approach, where the print paths at the element level are considered to be curvilinear. The fineness of the mesh used in this concept depends solely on the stress gradients that need to be resolved. Furthermore, curvilinear print paths represent the coordinate lines used to describe anisotropy. As a result, the solution to the balance of linear momentum occurs within the local curvilinear coordinate system. This paper presents the implementation of this approach within the finite element method, using an exemplary boundary value problem.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105501"},"PeriodicalIF":4.4,"publicationDate":"2024-12-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143136214","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}
Changzhi Hu , Zhishuai Wan , Zonghan Li , Ximing Tan , Lichen Wang , Mingji Chen
{"title":"Inverse-designed metastructures with customizable low dynamic stiffness characteristics for low-frequency vibration isolation","authors":"Changzhi Hu , Zhishuai Wan , Zonghan Li , Ximing Tan , Lichen Wang , Mingji Chen","doi":"10.1016/j.euromechsol.2024.105515","DOIUrl":"10.1016/j.euromechsol.2024.105515","url":null,"abstract":"<div><div>The quasi-zero stiffness (QZS) vibration isolator is considered to be an effective way to address the contradiction between high load-bearing capacity and low-frequency vibration isolation. However, the design of traditional QZS isolators with multiple components, brings about complexity in structure integration, while designing a structure that is compact and lightweight is required for many engineering applications, especially for aerospace engineering. In this study, inverse design was employed to achieve QZS characteristics of the curved beam system. The trajectory of the cross-section center of a curved beam was optimized by using the genetic algorithm. The present design strategy has the advantage of achieving customizable stiffness and load-bearing capability, as well as constructing multiple QZS regions. The harmonic balance method was employed to analyze the dynamic response of the metatructure, and a parameter analysis was conducted to assess its isolation performance. Numerical simulations were also used to validate the theoretical model in the time and frequency domains, respectively. It is demonstrated by experiment that the proposed metastructure can effectively isolate vibrations above 4.67 Hz, with a mass of only 3.2% of the its load-bearing capacity. The presented design strategy provides a feasible solution for the compact and lightweight low-frequency vibration isolators, particularly benefiting miniature devices, precision instruments, and aerospace applications where space and weight constraints are critical.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"110 ","pages":"Article 105515"},"PeriodicalIF":4.4,"publicationDate":"2024-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142756940","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}