Guanyi Zhang , Yifan Zhang , Tengxiang Wang , Liangliang Zhang , Yang Gao
{"title":"Thermoelastic behavior analysis of finite composites embedded in ellipsoidal inhomogeneities with inclusion-based boundary element method","authors":"Guanyi Zhang , Yifan Zhang , Tengxiang Wang , Liangliang Zhang , Yang Gao","doi":"10.1016/j.ijsolstr.2024.113172","DOIUrl":"10.1016/j.ijsolstr.2024.113172","url":null,"abstract":"<div><div>The thermoelastic properties of composites play a pivotal role in various practical engineering challenges. This paper employs the inclusion-based boundary element method (iBEM) to analyze the thermoelastic field and predicts the influence of key parameters in the particle phase on composite properties. Utilizing the equivalent inclusion theory, material mismatch effects are characterized by eigenstrain and eigen-temperature gradient. Incorporating the boundary integral equation, the boundary effects are addressed, which facilitates the computation of internal field outcomes via stress and heat flux equivalent conditions. Validation against finite element and experimental data confirms the efficacy of iBEM in accurately simulating thermoelastic behavior and predicting effective properties of particle composites. Noteworthy findings indicate that optimal composite properties align with the long axis orientation of ellipsoidal particles, while the particle distribution significantly impacts the effective Poisson’s ratio.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"309 ","pages":"Article 113172"},"PeriodicalIF":3.4,"publicationDate":"2024-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143138072","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":"Structural form finding using the Stress Density Method: Well-posedness and convergence of numerical solutions","authors":"Andrés F. Guerra Riaño, Péter L. Várkonyi","doi":"10.1016/j.ijsolstr.2024.113156","DOIUrl":"10.1016/j.ijsolstr.2024.113156","url":null,"abstract":"<div><div>In this study, we investigate computational form finding of funicular arches, membrane shells, and hybrid compositions of these two types using the Stress Density Method, formulated as coupled systems of linear ordinary, partial or mixed differential equations. These problems demand numerical solution techniques and discretization of the problem. We propose an extension of the Natural Force Density Method into a unified discretization scheme to transform all types of problems into a discrete formalism of the classical Force Density Method. A crucial question of numerical solutions is convergence upon mesh refinement. Three common reasons for the lack of convergence, and the emergence of irrelevant solutions are reviewed, and possible workarounds are proposed. Well-posedness of the continuous problem depends on the prescribed 2nd Piola–Kirchhoff stress function, affecting the canonical form of the differential equations, and the appropriate types of boundary conditions. In the case of hyperbolic stress states, a generalization of the Force Density Method is proposed in order to handle boundary conditions ensuring well-posedness. We uncover formal analogy with initial value problems of evolution equations with a time-like variable, corresponding to an unusual design strategy in which the positions of some free edges of a shell are prescribed by the designer, whereas the positions of some supports are not. The importance of mesh selection for the stability of some numerical computation schemes is also highlighted. Additionally, models for membranes with singular Cauchy stress fields due to point forces are studied, and various solution methods are presented to obtain relevant structural shapes in this case.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"309 ","pages":"Article 113156"},"PeriodicalIF":3.4,"publicationDate":"2024-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143138107","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}
Xiaowei Yue , Ruiwen Guo , Ning An , Jinxiong Zhou
{"title":"Modeling viscoelasticity–viscoplasticity of high-strain composites for space deployable structures","authors":"Xiaowei Yue , Ruiwen Guo , Ning An , Jinxiong Zhou","doi":"10.1016/j.ijsolstr.2024.113154","DOIUrl":"10.1016/j.ijsolstr.2024.113154","url":null,"abstract":"<div><div>Space deployable structures made of thin-ply fiber-reinforced composite laminates exhibit significant time-dependent mechanical behaviors, including stress relaxation, shape recovery, and permanent residual deformation throughout their service period. Currently, there is a lack of an appropriate composite laminate model that is able to fully describe these phenomena. Here, we address this gap by proposing an anisotropic viscoelastic–viscoplastic continuum constitutive model to capture the mechanical behavior of composite deployable structures during folding, stowage, deployment, and recovery periods. The model adopts a viscoelastic formulation based on the Boltzmann integral, coupled with a Hill-type rate-dependent viscoplastic formulation. A detailed numerical implementation scheme using fully implicit integration with a two-step viscoelastic predictor and viscoplastic corrector strategy is provided. The accuracy and efficiency of the proposed model are validated against experimental results for both unidirectional and woven laminates. Simulations accurately capture the rate-dependent nonlinear stress–strain response, creep response under constant stress, and hysteresis loops in cyclic loading-unloading tests for single-ply lamina under various off-axis loading directions. Importantly, the proposed method is the first to capture the experimentally observed permanent deformation of real-world composite deployable structures, validated through column bending tests. This advanced modeling and simulation capability significantly enhances the simulation and design of space deployable structures.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"308 ","pages":"Article 113154"},"PeriodicalIF":3.4,"publicationDate":"2024-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142748269","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}
Qimin Wang , Chao Li , Sheng Zhang , Chen Zhou , Yanping Zhou
{"title":"Physics-Informed Extreme Learning Machine framework for solving linear elasticity mechanics problems","authors":"Qimin Wang , Chao Li , Sheng Zhang , Chen Zhou , Yanping Zhou","doi":"10.1016/j.ijsolstr.2024.113157","DOIUrl":"10.1016/j.ijsolstr.2024.113157","url":null,"abstract":"<div><div>In neural network-based methods for elasticity mechanics such as Physics-Informed Neural Networks (PINNs), the training process is typically time-consuming due to multiple optimization iterations and reliance on automatic differentiation for gradient computation. This paper proposes a novel framework that combines Physics-Informed Extreme Learning Machines (PIELM) with linear elastic mechanics, focusing on the integration of discretization operators with the principles of linear elasticity mechanics. These discretization operators are constructed based on the form of higher-order derivatives in PIELM, along with governing equations and boundary conditions. Physical information is incorporated into the loss function through discretization operators applied at collocation points. The solution of the proposed method is calculated through the least squares method , which determines the output weights. The comparison with PINN under nonlinear loads and geometric defects demonstrates that PIELM achieves superior error control and prediction accuracy. Furthermore, PIELM achieves more precise in evaluated error norms compared to Finite Element Method (FEM) in a three-dimensional problem with an analytical solution. In conclusion, the proposed method offers an robust and efficient alternative method for linear elasticity.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"309 ","pages":"Article 113157"},"PeriodicalIF":3.4,"publicationDate":"2024-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143137574","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}
Siyu Chen , Kewen Shi , Ziwen Kong , Yinji Ma , Xue Feng
{"title":"Mechanics analysis and experimental study of ultra-thin chip peeling from pre-stretching substrates","authors":"Siyu Chen , Kewen Shi , Ziwen Kong , Yinji Ma , Xue Feng","doi":"10.1016/j.ijsolstr.2024.113161","DOIUrl":"10.1016/j.ijsolstr.2024.113161","url":null,"abstract":"<div><div>Successful chip peeling from a substrate facilitates the transfer process for obtaining the final functional chips, but remains a challenge in the practical production of ultra-thin chips. Flexible ultra-thin chips are prone to fragmentation during the peeling process, due to their fragility. In this study, a substrate pre-stretching process is introduced to the picking process to achieve a high yield of chip peeling, and this process is explored via modelling and experiments. The chip–adhesive pre-stretched substrate structure is modelled, involving both multi-needle ejection and vacuum suctioning, within the framework of Timoshenko’s beam theory. The theoretical analysis is validated using finite element analysis to compare the surface stress distribution on the chip and tip stress within the adhesive layer. During the peeling process, the competitive fracture behaviour of the chip between cracking and peeling is analysed using a dimensionless peeling health index as a metric to assess the health status of the chip. The effects of substrate pre-stretching on the adhesive layer stress, chip layer stress, and peeling health index are analysed. As substrate pre-stretching is found to improve the peeling health index only in the case of needle ejection, but impairs the peeling health index in the case of vacuum suctioning, needle ejection is considered the sole effective peeling method when a substrate pre-stretching process is introduced. Furthermore, through meticulous experimental verification, it is confirmed that pre-stretching of the substrate can significantly improve the success rate of chip peeling.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"308 ","pages":"Article 113161"},"PeriodicalIF":3.4,"publicationDate":"2024-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142757386","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}
Jiaming Feng , Yuyin Sun , Wanjun Jin , Ridong Liao
{"title":"Analytical and experimental studies on the sequential flaring-buckling behavior of combined bi-tubes in blind bolts","authors":"Jiaming Feng , Yuyin Sun , Wanjun Jin , Ridong Liao","doi":"10.1016/j.ijsolstr.2024.113158","DOIUrl":"10.1016/j.ijsolstr.2024.113158","url":null,"abstract":"<div><div>Combined bi-tubes are innovatively applied in modern composite blind bolts to provide the clamping force. In this study, the sequential flaring-buckling behavior of combined bi-tubes under axial compression on expanding dies was experimentally and analytically investigated. First, axial compression tests were performed on bi-tubes in three different dimension groups. Based on the test results, deformation modes and force–displacement curves were obtained to assess the specific energy absorption (<em>SEA</em>), clamping energy (<em>E<sub>CL</sub></em>), and energy transfer ratio (<em>ETR</em>). The results show that bi-tubes have superior energy-absorbing capacity and clamping efficiency. <em>SEA</em> can reach 21 kJ/kg, and the <em>E<sub>CL</sub></em> accounts for 50 ± 6 % of the total energy dissipated. Afterwards, a theoretical solution for flaring-buckling bi-tubes, which involves the flaring forming force, friction, and critical buckling force, was derived on the basis of an equal-thickness circular tube. A comparison of forces and deformation modes from analytical and experimental approaches leads to the observations that the analytical theory can assess the sequential flaring-buckling bi-tubes within acceptable proximity, the maximum deviations of flaring forming forces and critical buckling forces being 3.3 % and 6.6 %, and that it can effectively predict diverse deformation modes, i.e., a single bell-shaped bulb on the clamped structure, an upper bulb close to the platen, or double bulbs. This study is expected to provide guidance for the optimal design of the clamping structure on aircraft and automobiles.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"308 ","pages":"Article 113158"},"PeriodicalIF":3.4,"publicationDate":"2024-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142748212","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":"Beyond effective stiffness: A modified differential Mori-Tanaka-Voigt homogenization for predicting stresses in individual inclusions","authors":"Deepjyoti Dhar, Atul Jain","doi":"10.1016/j.ijsolstr.2024.113152","DOIUrl":"10.1016/j.ijsolstr.2024.113152","url":null,"abstract":"<div><div>Mean field homogenization (MFH) methods are widely employed for homogenizing heterogeneous materials. However, they are limited to predicting effective properties and phase-averaged stresses, failing to capture stresses within individual inclusions. This paper introduces a novel homogenization approach, termed MDMT-Voigt, aimed at addressing this lacuna. The proposed model is validated extensively using finite element analysis (FEA), encompassing virtual Representative Volume Elements (RVEs) with a range of aspect ratios, volume fractions, and orientation distributions. Furthermore, validation is conducted using RVEs derived from experimentally determined microstructures via micro-computed tomography. Across all models considered, the FEA results yield a range of stresses for inclusions with same orientation and aspect ratio which is captured well by the proposed MDMT-Voigt model. Prediction of stresses in individual inclusions represents a significant advancement over conventional MFH methods, offering substantial potential for enhanced micromechanics modelling comparable to full finite element approaches, but at a computational efficiency order of magnitude lower. The paper ends with a demonstration confirming improved micromechanics using the Modified Coulomb criteria.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"309 ","pages":"Article 113152"},"PeriodicalIF":3.4,"publicationDate":"2024-11-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142759013","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}
Xinghao Wang , Zhibo Du , Jiarui Zhang , Yue Kang , Chenxu Liu , Tian Ma , Zhanli Liu
{"title":"Characterizing and modeling the wide strain rate range behavior of air-filled open-cell polymeric foam","authors":"Xinghao Wang , Zhibo Du , Jiarui Zhang , Yue Kang , Chenxu Liu , Tian Ma , Zhanli Liu","doi":"10.1016/j.ijsolstr.2024.113155","DOIUrl":"10.1016/j.ijsolstr.2024.113155","url":null,"abstract":"<div><div>Air-filled open-cell polymeric foams are widely used for absorbing impact energy under various strain rates. Modeling their compression behavior under large deformation across a wide strain rate range remains a challenge, as the air pressure is dominated by viscous effect or inertial effect at different strain rates. In this study, the compression response of air-filled open-cell polyurethane (PU) foam is characterized across a wide strain rate range from 0.0001 s<sup>−1</sup> to 5000 s<sup>−1</sup>. The plateau stress and energy absorption properties of the foam exhibit a power-law dependency on strain rate, showing lower rate sensitivity at quasi-static rates and increased sensitivity at high strain rates. To describe the observed rate sensitivity variation, the effect of airflow resistance is quantitatively modeled and a visco-hyperelastic constitutive model considering air pressure is developed. It shows that at high strain rates, the air pressure can constitute up to 30 % of the energy absorption contribution while it is relatively negligible at quasi-static strain rates, which significantly amplifies the difference in rate sensitivity between quasi-static and high strain rates. Furthermore, a simplified semi-empirical formula is proposed to rapidly estimate the air pressure in open-cell foams at high strain rates. This formula demonstrates the mechanical response transition from open-cell to closed-cell foams with increasing strain rates. This study is meaningful for understanding the dynamic response and the energy absorption capabilities of air or fluid filled open-cell foam.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"308 ","pages":"Article 113155"},"PeriodicalIF":3.4,"publicationDate":"2024-11-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142748213","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}
Tuqiang Wang , Shuang Yang , Jun Wang , Xi Chen , Chaoqun Wu , Weirong Zhu
{"title":"Experimental and numerical analysis of geometry on joint strength in GFRP-aluminum alloy adhesive joints","authors":"Tuqiang Wang , Shuang Yang , Jun Wang , Xi Chen , Chaoqun Wu , Weirong Zhu","doi":"10.1016/j.ijsolstr.2024.113153","DOIUrl":"10.1016/j.ijsolstr.2024.113153","url":null,"abstract":"<div><div>Enhancing the bonding strength between composites and metals is one of the urgent challenges that needs to be addressed. One of the methods to improve the strength of adhesive joints is to change the geometry of the joints. In this paper, four different types of aluminum alloy sleeves were developed by designing grooves with varying angles and shapes. Glass fiber reinforced polymer rods were adhesively bonded to these sleeves, resulting in the preparation of five different types of adhesive joints, including a conventional structure. The mechanical performance and failure mechanisms of these joints were analyzed experimentally and numerically. The results indicate that, compared to conventional adhesive joints, the load-bearing capacity of the four designed adhesive joints has been significantly improved, with a maximum increase of 49.6% and a minimum increase of 35.6%. The axial angle of the groove structures designed within the joint is a factor that influences the ultimate load capacity of the joint. Furthermore, the shear stress in the adhesive layer is identified as the primary cause of adhesive layer failure. The designed mechanical interlocking structures can not only increase the interfacial bonding force between the adhesive layer and the substrate but also delay the complete failure of the adhesive layer, thereby improving the load-bearing strength of the joint. This work is expected to provide new insights for the design of composite and metal joints.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"308 ","pages":"Article 113153"},"PeriodicalIF":3.4,"publicationDate":"2024-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142697358","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}
Ru-Guo Ji , Yue-Yu Yuan , Xiao-Feng Liu , Xiao-Long Zhang , Guo-Ping Cai
{"title":"Modeling the pull-off force of a mushroom-shaped fibrillar adhesive in dynamic detachment","authors":"Ru-Guo Ji , Yue-Yu Yuan , Xiao-Feng Liu , Xiao-Long Zhang , Guo-Ping Cai","doi":"10.1016/j.ijsolstr.2024.113150","DOIUrl":"10.1016/j.ijsolstr.2024.113150","url":null,"abstract":"<div><div>Fibrillar adhesive, as a novel biomimetic controllable adhesive, holds broad application prospects in the fields of medical devices, aerospace, and robotics. Evaluating the critical detachment force (pull-off force) of such materials, that is, establishing a pull-off force model, is one of the key issues to be addressed in the application process. The experimental results show that preload, dwell time, and retraction velocity are key factors affecting critical detachment force. However, there is no model that can take into account the influence of these three factors. In order to accurately evaluate the adhesion performance of fibrillar adhesive, this study took mushroom-shaped fibrillar adhesive (MFSA) as the object and carried out theoretical and experimental research on the modeling problem of its pull-off force. First, we derived a new pull-off force model based on the Gent & Schultz hypothesis and linear elastic fracture theory. In this model, the relative contact area is introduced to quantify the impact of preload and dwell time on the pull-off force, and the rate-dependent properties of the effective adhesion work are used to describe the impact of retraction velocity on the pull-off force. Then, the validity of the model is experimentally investigated. The experimental results show that this paper’ s model can accurately predict the pull-off force of MFSA after parameter identification, thereby verifying the model’s effectiveness. Finally, we used the pull-off force model to study the effects of model parameters on pull-off force.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"308 ","pages":"Article 113150"},"PeriodicalIF":3.4,"publicationDate":"2024-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142697356","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}