Tengfei Ren , Cunxian Wang , Yongshuai Wang , Han Zhao , Tao Suo
{"title":"A novel plasticity model for characterizing Lode parameter dependence on the differential yielding and hardening behaviors of Ti6Al4V alloy over a wide range of stress states","authors":"Tengfei Ren , Cunxian Wang , Yongshuai Wang , Han Zhao , Tao Suo","doi":"10.1016/j.ijsolstr.2024.113201","DOIUrl":"10.1016/j.ijsolstr.2024.113201","url":null,"abstract":"<div><div>This study investigates and models the effect of Lode angle on the yielding and hardening behaviors of a forged Ti6Al4V alloy across a wide range of stress states. The as-received material was firstly demonstrated to exhibit no orientation effect. Subsequently, a total of 14 specimen types, including uni-axial tension, compression, simple shear, three notched round bars, three grooved plates and five newly designed tension-shear coupling specimens, were tested under the equivalent strain rate of 0.001 s<sup>−1</sup>. Utilizing an iterative inverse method, equivalent stress–strain curves of the material subject to 14 dissimilar stress states were obtained. The distributions of stress state characterized by the stress triaxiality and Lode angle on the specimens were analyzed through simulations, confirming the validity of 11 out of the 14 plastic curves. Results indicate negligible stress triaxiality dependence but significant Lode angle dependence on the plasticity of Ti6Al4V alloy. Such results led to the proposal of a novel plasticity model, which effectively incorporates the Lode angle effect on both yielding and hardening behaviors of materials. Further validation through numerical simulations conducted in ABAQUS/Explicit demonstrated the model’s applicability and accuracy in predicting material plasticity under complex loading conditions. These findings offer valuable insights into the mechanical behavior of Ti6Al4V alloy and have implications for design and performance assessment in practical engineering applications.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"309 ","pages":"Article 113201"},"PeriodicalIF":3.4,"publicationDate":"2024-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143137601","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Lianzhi Yang , Zijian Zhang , Jiyun Shen , Hongfei Ji
{"title":"Theoretical solution for 3D transient thermal–hydraulic–mechanical coupled axisymmetric problem and its application to casing–cement–formation system","authors":"Lianzhi Yang , Zijian Zhang , Jiyun Shen , Hongfei Ji","doi":"10.1016/j.ijsolstr.2024.113197","DOIUrl":"10.1016/j.ijsolstr.2024.113197","url":null,"abstract":"<div><div>In geomechanics and geoscience, the study of coupled processes is of paramount importance. This paper presents a theoretical solution, grounded in Biot’s theory, for the 3D transient thermal–hydraulic–mechanical (THM) coupled axisymmetric problem. Mathematical techniques such as the Laplace transform, Fourier expansion and the stress function method are employed to derive the THM solution. The Laplace transform is employed to manage time-dependent terms in transient equations, Fourier expansion is used to meet boundary conditions and stress functions establish connections between the stress field, seepage field, and temperature field. The validity of the THM solution is subsequently confirmed, demonstrating its accuracy. The theoretical solution is then applied to a casing–cement–formation system, a crucial structure frequently encountered in the oil industry. Given that the casing is generally considered impermeable, particular focus is placed on the boundary conditions at the casing–cement interface. A modeling of casing–cement–formation system is then conducted to show the THM coupling effect due to the temperature–pressure load. Furthermore, contour plots are employed to analyze the response of the system to linear loads.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"309 ","pages":"Article 113197"},"PeriodicalIF":3.4,"publicationDate":"2024-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143137607","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Rate dependent self-healing model for cementitious materials","authors":"Sina Sayadi, Iulia Mihai, Anthony Jefferson","doi":"10.1016/j.ijsolstr.2024.113196","DOIUrl":"10.1016/j.ijsolstr.2024.113196","url":null,"abstract":"<div><div>A new micromechanics-based constitutive model for self-healing cementitious materials is proposed. The model is aimed at self-healing materials with distributed healing mechanisms, such as materials with embedded microcapsules and enhanced autogenous healing capabilities. The model considers anisotropic microcracking and time-dependent healing. In contrast to many existing models for self-healing cementitious materials, the new approach imposes no limitations on the number or timing of microcracking or healing events that can be simulated. The formulation ensures that the simulation of microcracking and healing is always consistent with the second law of thermodynamics. The model is implemented in a three-dimensional nonlinear finite element code that allows structural elements formed from self-healing materials to be simulated. A series of single-point simulations illustrate the versatility of the model. The experiments considered with the model encompass a set of cylindrical specimens formed from concrete with embedded microcapsules containing sodium silicate, and a notched beam test series that examined the self-healing potential of concrete formed with a crystalline admixture. The validations show that the model can capture the characteristic mechanical behaviour of these structural elements with good engineering accuracy.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"309 ","pages":"Article 113196"},"PeriodicalIF":3.4,"publicationDate":"2024-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143137608","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Tao Zheng , Yue-Ting Zhou , Peng-Xu Guo , Qing-Hui Luo , Li-Hua Wang
{"title":"Effect of phason on adhesion behavior of one-dimensional hexagonal quasicrystal","authors":"Tao Zheng , Yue-Ting Zhou , Peng-Xu Guo , Qing-Hui Luo , Li-Hua Wang","doi":"10.1016/j.ijsolstr.2024.113193","DOIUrl":"10.1016/j.ijsolstr.2024.113193","url":null,"abstract":"<div><div>Different from traditional crystals, the elastic behavior of quasicrystals (QCs) is described by both phonon and phason fields. As an additional energy dissipation channel, it is significant to research how the phason affects the adhesive contact or whether it can adjust the adhesion behavior in QCs. Based on the classical Johnson–Kendall–Roberts (JKR) model and Maugis–Dugdale (M−D) model, this paper establishes the adhesive contact theories of a one-dimensional (1D) hexagonal QC half-space indented by a conical punch. By applying the superposition principle and the Griffith energy balance criterion, the significant adhesive contact physical quantities such as distributions of the normal stresses and displacements at the surface, energy release rate, indentation depth, contact radius, pull-out force, and indentation loading for both adhesive contact models are obtained analytically. Combined with related experiment, the analytical solutions of this paper are verified. The numerical results indicate that the influence of the phason field can be ignored in the JKR model when there is no initial phason displacement, whereas it is pronounced in the M−D model particularly when the contact radius falls within a small range. Furthermore, it is found that not only the adhesive behavior of 1D hexagonal QC can be controlled by changing the cone angle of the conical punch, but the initial phason displacement can also affect the adhesive contact. Overall,<!--> <!-->the findings presented in this paper offer theoretical support for the adhesion experiments of QCs and provide valuable insights for designing smart adhesive materials.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"309 ","pages":"Article 113193"},"PeriodicalIF":3.4,"publicationDate":"2024-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143137605","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 numerical study on the physical couplings of a geometrically linear thermo-chemo-mechanical model","authors":"Johannes Gisy, Alexander Dyck, Thomas Böhlke","doi":"10.1016/j.ijsolstr.2024.113162","DOIUrl":"10.1016/j.ijsolstr.2024.113162","url":null,"abstract":"<div><div>Physically coupled models are used in various research fields to solve problems concerning the interaction of solid materials with thermal, chemical or electrical boundary conditions. If beside the mechanical fields two or more additional fields (e.g. temperature and concentration) have to be taken into account, the determination of the impact on the mechanical fields (e.g. stress and yield strength) and the influence of the boundary conditions leads to an ambitious task. To deal with this issue, a thermo-chemo-mechanical model using a geometrically linear theory and a thermodynamically consistent derivation, is presented. The model is specified for linear elastic isotropic solid materials. A fully coupled set of partial differential equations is obtained. A Finite Element implementation using the User Element subroutine of ABAQUS is performed. A detailed description about the steps necessary to derive the corresponding element formulation is provided, thereby supporting the development of user-defined elements. The user-defined element is used for a series of simulations involving submodels with up to seven different combinations of active fields including thermo-chemical, thermo-mechanical and chemo-mechanical couplings. Three sets of boundary conditions are considered, leading to closed and open systems. This procedure, which is exemplified in one- and three-dimensional examples, enlightens strong and weak couplings and outlines the mechanical role on the interaction between the solid material and the chemical environment. Additionally, the implications of a geometrical linearization on the interpretation of the concentration is illustrated.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"309 ","pages":"Article 113162"},"PeriodicalIF":3.4,"publicationDate":"2024-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143137602","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
M. Lamari , P. Kerfriden , O.U. Salman , V. Yastrebov , K. Ammar , S. Forest
{"title":"A time-discontinuous elasto-plasticity formalism to simulate instantaneous plastic flow bursts","authors":"M. Lamari , P. Kerfriden , O.U. Salman , V. Yastrebov , K. Ammar , S. Forest","doi":"10.1016/j.ijsolstr.2024.113171","DOIUrl":"10.1016/j.ijsolstr.2024.113171","url":null,"abstract":"<div><div>Plastic flow is conventionally treated as continuous in finite element (FE) codes, whether in isotropic, anisotropic plasticity, or crystal plasticity. This approach, derived from continuum mechanics, contradicts the intermittent nature of plasticity at the elementary scale. Understanding crystal plasticity at micro-scale opens the door to new engineering applications, such as microscale machining. In this work, a new approach is proposed to account for the intermittence of plastic deformation while remaining within the framework of continuum mechanics. We introduce a material parameter, the plastic deformation threshold, denoted as <span><math><mrow><mi>Δ</mi><msub><mrow><mi>p</mi></mrow><mrow><mi>m</mi><mi>i</mi><mi>n</mi></mrow></msub></mrow></math></span>, corresponding to the plastic deformation carried by the minimal plastic deformation burst within the material. The incremental model is based on the traditional predictor–corrector algorithm to calculate the elastoplastic behavior of a material subjected to any external loading. The model is presented within the framework of small deformations for von Mises plasticity. To highlight the main features of the approach, the plastic strain increment is calculated using normality rule and consistency conditions, and is accepted only if it exceeds <span><math><mrow><mi>Δ</mi><msub><mrow><mi>p</mi></mrow><mrow><mi>m</mi><mi>i</mi><mi>n</mi></mrow></msub></mrow></math></span>. To achieve this, a time-discontinuous generalization of the Karush-Kuhn–Tucker (KKT) conditions is proposed. The simulations show that the introduction of the plastic threshold allows for the reproduction of the spatiotemporal intermittence of plastic flow, capturing the self-organization of plastic flow in complex loading scenarios within an FE model.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"309 ","pages":"Article 113171"},"PeriodicalIF":3.4,"publicationDate":"2024-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143137606","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"An analytical model for the bending and reaction force of hygroscopic bilayers upon water adsorption","authors":"Mohammadali Behboodi , Mehdi Eskandari-Ghadi , Wenjie Xia , Yida Zhang","doi":"10.1016/j.ijsolstr.2024.113191","DOIUrl":"10.1016/j.ijsolstr.2024.113191","url":null,"abstract":"<div><div>Hygroscopic bilayers replicating the morphing capability of plants upon hydration (e.g., pinecone scales, chiral seed pods) have gained much attention in robotics and material science research in the past decade. Due to variations in humidity, hygroscopic bilayers – comprising a passive substrate and an active porous coating – can convert the chemical potential difference of adsorbate species between the surrounding environment and the pore space to mechanical energy, resulting in development of curvature and forces. In this paper, we present a closed-form analytical model that considers the pore structure of the active layer for predicting the morphing of hygroscopic bilayers subjected to adsorption. For free-end cases, the curvature evolution as a function of relative humidity is predicted by combining a bilayer beam theory and a linear surface poroelasticity model for the active porous layer. For fixed-end scenarios, the reaction force generated by the bilayer is predicted using Castigliano’s second theorem with the same constitutive model. For validation, we consider two types of hydroscopic bilayers with microporous and mesoporous coatings, as tested by <span><span>Boudot et al. (2016)</span></span>. A new isotherm equation is introduced to capture the adsorption characteristics of mesoporous media at all humidity levels. The predicted curvature and reaction force curves compared well against the experimental data. Finally, the effects of substrate Young’s modulus and the coating’s thickness on the response of the bilayer are studied. The proposed model offers straightforward mechanistic description of hydroscopic bilayers, thereby aiding in the future optimization and design of these systems for engineering applications.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"309 ","pages":"Article 113191"},"PeriodicalIF":3.4,"publicationDate":"2024-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143137603","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Charline van Innis , Michal K. Budzik , Thomas Pardoen
{"title":"Bridging in co-cured composite joints","authors":"Charline van Innis , Michal K. Budzik , Thomas Pardoen","doi":"10.1016/j.ijsolstr.2024.113194","DOIUrl":"10.1016/j.ijsolstr.2024.113194","url":null,"abstract":"<div><div>Further deployment of advanced polymer-based composites in critical structures requires, among others, new progress in adhesive bonding solutions from processing to performance. Among others, the cost and time intensity of manufacturing can be mitigated through co-curing of composite elements using a thermoplastic film, typically a Polyetherimide (PEI) film. However, the use of PEI films in resin transfer moulding leads to low toughness (<500 J/m<sup>2</sup>). The objective of this work is to improve the toughness of co-cured composite joints by inserting UHMPE filaments between a PEI film and the composite panels in order to trigger crack bridging and a significant R-effect. The influence of the spacing and of the tensile strength of the filaments has been determined experimentally, resulting in an increase of the toughness by up to a factor 3. In addition, the influence of these parameters has been further investigated with a closed-form crack propagation model. Decreasing the spacing and increasing the strength of the filaments enhances the joint toughness. Increasing the tensile elongation of the filaments results in a less steep R-effect, requiring a longer crack propagation to attain of the maximum fracture toughness.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"309 ","pages":"Article 113194"},"PeriodicalIF":3.4,"publicationDate":"2024-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143138119","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Investigation of unidirectional vibration isolation and nonreciprocal design of axial elastic waves based on topological pumping theory","authors":"Zixun Lu , Hui Chen , Lingyun Yao","doi":"10.1016/j.ijsolstr.2024.113192","DOIUrl":"10.1016/j.ijsolstr.2024.113192","url":null,"abstract":"<div><div>In this work, a spiral structure (SS) based on the nonreciprocal waveguide theory of adiabatic evolution principle is designed, which can generate dynamic boundaries on a rotation shaft. The spatiotemporal topological pumping formed by SS can achieve nonreciprocal transmission of elastic waves in shaft, and the transmission can achieve unidirectional isolation of shaft vibration. Firstly, transfer matrix method (TMM) is used to theoretically derive the continuity at two-phase spiral periodic shaft structure (SPSS) medium. Then, finite element method (FEM) is utilized to calculate energy bands and frequency response functions of SPSS. Next, the calculations results obtained by FEM are used to analyze the influence of material parameters, geometric dimensions and other factors on band gap, and SPSS of rotation is used to confirm the variation of topological edge modes produced by spatiotemporal pumping. Finally, realistic shaft model and analytical parameters are combined to determine the dimensional parameters and materials of unidirectional vibration isolation shaft, vibration transmission characteristics of spiral shaft are obtained by numerical simulation, and its unidirectional vibration isolation performance is verified through experiment. The results show that SS can achieve spatiotemporal topological pumping function at a certain modulation speed, when<!--> <!-->the band gap is deflected in a specific frequency range, elastic waves can be transmitted unidirectional in deflected frequency range, the dynamic spiral shaft has a good unidirectional vibration isolation effect when the shaft is modulated in the reverse direction, and changing helical angular velocity can tune frequency range of nonreciprocal transmission of elastic waves. The design can provide a theoretical basis for engineering application of unidirectional vibration isolation bushing in wide frequency range.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"309 ","pages":"Article 113192"},"PeriodicalIF":3.4,"publicationDate":"2024-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143138118","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Symmetry breaking and dynamic characteristics of post-buckling in bilayer van der Waals structures","authors":"Guangfei Zhu, Rumeng Liu, Lifeng Wang","doi":"10.1016/j.ijsolstr.2024.113190","DOIUrl":"10.1016/j.ijsolstr.2024.113190","url":null,"abstract":"<div><div>The van der Waals (vdW) interaction plays a crucial role in the mechanical properties, including bending and buckling, of layered 2D materials, directly affecting their performance as flexible devices. This study systematically investigates the symmetry breaking and dynamic characteristics of post-buckling in bilayer vdW structures caused by the local atomic positions’ dependence of vdW interactions. Our observations reveal that the buckling configuration of bilayer molybdenum disulfide (MoS<sub>2</sub>) exhibits a significant dependence on the direction of applied load. When compressed along the zigzag direction, the post-buckling configuration is symmetric. In contrast, compression along the armchair direction results in a significant asymmetric post-buckling configuration. Additionally, the asymmetric buckling configuration strongly correlates with the length of the structure and the magnitude of compressive strain. Combining molecular dynamics simulations and a continuum-discrete model, it is found that this symmetry breaking in buckling results from anisotropic and non-uniform shear and sliding between atomic layers. Moreover, under biaxial compression, bilayer circular MoS<sub>2</sub> demonstrates post-buckling configurations and thermal vibration modes markedly distinct from monolayer MoS<sub>2</sub>. These configurations are closely associated with the initial stacking orders of bilayer MoS<sub>2</sub>. In particular, effective modulation of asymmetry is achieved by twisting the bilayer structure, offering insights into controlling buckling behavior. These findings provide novel perspectives for describing and addressing buckling issues in layered vdW structures and offer guidance for designing and optimizing vdW structure devices.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"309 ","pages":"Article 113190"},"PeriodicalIF":3.4,"publicationDate":"2024-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143137604","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}