Acta MechanicaPub Date : 2024-09-27DOI: 10.1007/s00707-024-04100-z
Si-Yu Guo, Hui-Ying Zhang, Yan-Gao Hu
{"title":"Study of biaxial stress transfer in multilayer composites under uniaxial or biaxial tensile loading","authors":"Si-Yu Guo, Hui-Ying Zhang, Yan-Gao Hu","doi":"10.1007/s00707-024-04100-z","DOIUrl":"10.1007/s00707-024-04100-z","url":null,"abstract":"<div><p>This paper establishes a two-dimensional (2-D) shear-lag model applicable to multilayer composites, aiming to analyze the stress transfer mechanism in multilayer composites under uniaxial or biaxial tensile loading. Semi-analytical solutions for the normal stress and shear stress are provided under the assumption of elastic interface conditions. An example of patch-reinforced composites is used to provide semi-analytical solutions for the normal stress and shear stress under the assumption of elastic interface conditions. The study investigated the influence of material parameters on the stress distribution within each layer of multilayer composites, including the thickness ratio, the difference in Poisson’s ratio, the thickness of the adhesive layer, the aspect ratio, and the number of layers. The results indicate that the stress distribution solutions predicted by the proposed 2-D model are in good agreement with finite element results. This model provides an effective solution method for the 2-D stress problem in multilayer composites.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 12","pages":"7317 - 7349"},"PeriodicalIF":2.3,"publicationDate":"2024-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142736813","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}
Acta MechanicaPub Date : 2024-09-25DOI: 10.1007/s00707-024-04074-y
Rafael Toledo, Sascha Eisenträger, Ryan Orszulik
{"title":"Finite element analysis of thermopiezoelectric bimorph actuators considering temperature-dependent piezoelectric strain coefficients","authors":"Rafael Toledo, Sascha Eisenträger, Ryan Orszulik","doi":"10.1007/s00707-024-04074-y","DOIUrl":"10.1007/s00707-024-04074-y","url":null,"abstract":"<div><p>The application of piezoelectric actuators in smart structures is a rapidly developing field, particularly in aerospace environments. Given the significant impact of thermal effects in aerospace applications, the study of thermopiezoelectricity has gained attention. This phenomenon accounts for the thermal field in addition to the mechanical and electrical fields. Consequently, coupling phenomena among these three fields, including pyroelectric and electrocaloric effects, must be considered. This paper examines how these coupling effects influence the performance of piezoelectric bender actuators in normal operation and under varying external environments. This analysis is conducted through a custom-written finite element code which takes the three fully coupled field equations of thermopiezoelectricity into account. Then, the temperature dependence of the piezoelectric strain coefficients is included into the developed code in a numerically efficient manner using a pre-computation approach. The effect of temperature-dependent material properties is investigated via a case study of a stratospheric balloon flight where the actuator is used as a lens positioning element and subjected to significant temperature variations.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 12","pages":"7199 - 7222"},"PeriodicalIF":2.3,"publicationDate":"2024-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142737138","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}
Acta MechanicaPub Date : 2024-09-25DOI: 10.1007/s00707-024-04096-6
Chengyi Zheng, Zheyan Jin, Zhigang Yang, Lei Yu
{"title":"Effects of scallop ice characteristics on the flow field structures and the aerodynamic performance of an airfoil","authors":"Chengyi Zheng, Zheyan Jin, Zhigang Yang, Lei Yu","doi":"10.1007/s00707-024-04096-6","DOIUrl":"10.1007/s00707-024-04096-6","url":null,"abstract":"<div><p>In the present study, an experimental investigation was carried out on the effects of scallop ice characteristics on the flow field structures and aerodynamic performance of an airfoil. Detailed measurements were performed in a low-speed reflux wind tunnel by utilizing particle image velocimetry technique and a high-sensitivity six-component balance. A parameter study on the gap width and the cutting plane angle of the scallop ice was conducted. The results showed that the gap width and the cutting plane angle had significant effects on the aerodynamic performances of airfoils with scallop ice. The change of the gap width and the cutting plane angle also had apparent influences on the flow field parameters when the angle of attack exceeded 6°. The lift and pitching moment coefficients of airfoils decreased as the gap width increased or the cutting plane angle decreased. In the selected region above the airfoils, the average dimensionless vorticity, normalized turbulent kinetic energy, and normalized Reynolds stress gradually decreased as the gap width increased. In addition, the gap width and the cutting plane angle did not have predictable influences on the drag coefficients of the airfoils and the average dimensionless velocity in the selected region.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 12","pages":"7245 - 7262"},"PeriodicalIF":2.3,"publicationDate":"2024-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142737139","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}
Acta MechanicaPub Date : 2024-09-25DOI: 10.1007/s00707-024-04090-y
Weijing Tian, Xufeng Yang, Yongshou Liu, Xinyu Shi, Xin Fan
{"title":"Efficient damage prediction and sensitivity analysis in rectangular welded plates subjected to repeated blast loads utilizing deep learning networks","authors":"Weijing Tian, Xufeng Yang, Yongshou Liu, Xinyu Shi, Xin Fan","doi":"10.1007/s00707-024-04090-y","DOIUrl":"10.1007/s00707-024-04090-y","url":null,"abstract":"<div><p>The uncertainty in constitutive parameters significantly affects structural responses. This study examines the impact of these parameters on the damage to rectangular welded plates under multiple impacts using deep learning methods. A validated finite element model was used to generate a dataset by varying the constitutive parameters. Several surrogate models based on the Johnson–Cook models were compared for prediction accuracy. An attention-based neural network was applied for global sensitivity analysis of multiple-impact damage. The results indicate that models with attention mechanisms provide superior accuracy and efficiency for the damage of plate under repeated blast loading. Moreover, material parameters like density and yield strength are more influential under single impacts, while damage parameters become critical under repeated impacts. These findings offer insights for optimizing the safety of rectangular welded plates under varying impact conditions.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 12","pages":"7223 - 7244"},"PeriodicalIF":2.3,"publicationDate":"2024-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142737137","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}
Acta MechanicaPub Date : 2024-09-24DOI: 10.1007/s00707-024-04088-6
Yasai Nie, Tieding Guo, Yunyue Cong, Wanzhi Qiao, Houjun Kang
{"title":"Detuned multiple scale analysis for improving high-amplitude prediction of nonlinear systems","authors":"Yasai Nie, Tieding Guo, Yunyue Cong, Wanzhi Qiao, Houjun Kang","doi":"10.1007/s00707-024-04088-6","DOIUrl":"10.1007/s00707-024-04088-6","url":null,"abstract":"<div><p>Combined with a frequency detuning idea, i.e., linearization of nonlinear systems around its nonlinear response frequency rather than traditional linear natural frequency, a detuned multiple scale method (dMSM) is investigated by a full evaluation of its performance when being applied to cubic nonlinear systems with either geometrically cubic stiffness or cubic damping, i.e., a hinged–hinged beam and a generalized Van der Pol oscillator. By detailed comparison with standard MSM and focusing on frequency response and backbone curves, it is found that (detuned) dMSM demonstrates a superior performance in prediction of high-amplitude nonlinear behaviors (with weakly nonlinear assumption still valid), for both a geometrically cubic beam and a cubic damped oscillator.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 12","pages":"7181 - 7198"},"PeriodicalIF":2.3,"publicationDate":"2024-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142737323","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}
Acta MechanicaPub Date : 2024-09-17DOI: 10.1007/s00707-024-04028-4
Mohamed Shaat, Xin-Lin Gao, Amandine Battentier, Nicolas Massué
{"title":"New analytical model for multi-layered composite plates with imperfect interfaces under thermomechanical loading","authors":"Mohamed Shaat, Xin-Lin Gao, Amandine Battentier, Nicolas Massué","doi":"10.1007/s00707-024-04028-4","DOIUrl":"10.1007/s00707-024-04028-4","url":null,"abstract":"<div><p>A new analytical model for thermoelastic responses of a multi-layered composite plate with imperfect interfaces is developed. The composite plate contains an arbitrary number of layers of dissimilar materials and is subjected to general mechanical loads (both distributed internally and applied on edges for each layer) and temperature changes, which can vary from layer to layer and along two in-plane directions. Each layer is regarded as a Kirchhoff plate, and each imperfect interface is described using a spring-layer interface model, which can capture discontinuities in the displacement and stress fields across the interface. Unlike existing models, the governing equations and boundary conditions are simultaneously derived for each layer by using a variational procedure based on the first and second laws of thermodynamics, which are then combined to obtain the global equilibrium equations and boundary conditions for the multi-layered composite plate. A general analytical solution is developed for a symmetrically loaded composite square plate with an arbitrary number of layers and imperfect interfaces by using a new approach that first determines the interfacial normal and shear stress components on one interface. Closed-form solutions for two- and three-layer composite square plates are obtained as examples by directly applying the general analytical solution. Numerical results for two-, three- and five-layer composite plates under different loading and boundary conditions predicted by the current model are provided, which compare well with those obtained from finite element simulations using COMSOL, thereby validating the newly developed analytical model.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 12","pages":"7083 - 7120"},"PeriodicalIF":2.3,"publicationDate":"2024-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00707-024-04028-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142249034","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}
Acta MechanicaPub Date : 2024-09-16DOI: 10.1007/s00707-024-04091-x
Erdal Öner, Ahmed Wasfi Hasan Al-Qado
{"title":"Analytical approach to contact mechanics of functionally graded orthotropic layers with gravitational considerations","authors":"Erdal Öner, Ahmed Wasfi Hasan Al-Qado","doi":"10.1007/s00707-024-04091-x","DOIUrl":"10.1007/s00707-024-04091-x","url":null,"abstract":"<div><p>Contact problems involving deformable bodies are widespread in both industrial and everyday situations. They have a crucial impact on structural and mechanical systems, which has led to significant efforts in modeling and numerical simulations. These efforts aim to improve understanding and optimization in various engineering applications. This study examines the contact problem involving a functionally graded (FG) orthotropic layer resting on a rigid foundation, without considering frictional influences. A point load is applied to the layer through a rigid punch on its top surface. Additionally, the gravitational effects of the FG orthotropic layer are considered in the analyses. Material parameters and density of the FG orthotropic layer are presumed to exhibit exponential variations along the vertical axis. The resolution of the problem involves deriving stress and displacement expressions through the application of elasticity theory and integral transformation techniques. By imposing the pertinent boundary conditions onto these expressions, a singular integral equation is formulated, wherein the contact stress under the punch remains unknown. Employing the Gauss–Chebyshev integration method, this integral equation is subsequently numerically solved, particularly for a flat punch profile. The outcomes of this investigation encompass the determination of contact stresses under the punch, the critical separation load, and the critical separation point—marking the initial separation between the FG orthotropic layer and the rigid foundation. Additionally, the analysis yields dimensionless representations of normal stresses along the symmetry axis within the FG orthotropic layer, as well as shear stresses along a designated section proximate to the symmetry axis. Furthermore, it provides insights into the normal stresses along the x axis at the bottom surface of the FG orthotropic layer, contingent upon various parameters and distinct orthotropic material compositions.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 11","pages":"6929 - 6958"},"PeriodicalIF":2.3,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142249033","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}
Acta MechanicaPub Date : 2024-09-16DOI: 10.1007/s00707-024-04068-w
Florian Toth, Andreas Scharner, Alexander Schirrer, Christoph Hametner, Stefan Jakubek
{"title":"Rapid sloshing-free transport of liquids in arbitrarily shaped containers","authors":"Florian Toth, Andreas Scharner, Alexander Schirrer, Christoph Hametner, Stefan Jakubek","doi":"10.1007/s00707-024-04068-w","DOIUrl":"10.1007/s00707-024-04068-w","url":null,"abstract":"<div><p>We present a model-based feedforward control strategy suitable for designing swift rest-to-rest maneuvers for liquids in arbitrarily shaped containers. We employ the commonly used equivalent pendulum model to represent the sloshing dynamics and suggest a novel parameter identification scheme suitable for arbitrary container shapes and any number of sloshing modes. By computing natural modes and fluid reaction forces and torques for imposed harmonic container motions via a finite element model, we obtain data for the identification scheme. A fitting procedure then yields highly accurate parameters for a physical pendulum model, where each pendulum represents one sloshing mode. We also provide a thorough analysis of parameter identifiability and guidelines for obtaining robust parameter estimates. The proposed feedforward control method uses a virtual tray pendulum on which we place the container (in the form of its equivalent pendulum model). Designing the virtual tray such that the fluid’s dominant sloshing mode cannot be excited by horizontally moving the tray pendulum pivot effectively zeros out any sloshing motion in this mode. We then exploit the flatness property of the resulting system to design rest-to-rest maneuvers where any residual sloshing motion (in higher modes) can be exactly stopped at the end of the maneuver. The effectiveness of the proposed method is demonstrated through extensive simulations and experimental results using a Martini cocktail glass, whose shape is challenging in terms of sloshing. The experimental results show the successful, accurate suppression of sloshing, validating the efficacy of the proposed concept.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 12","pages":"7039 - 7058"},"PeriodicalIF":2.3,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00707-024-04068-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142268432","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}
Acta MechanicaPub Date : 2024-09-16DOI: 10.1007/s00707-024-04085-9
Yiming Li, Chen Chen, Mu Fan
{"title":"Optimization of cantilever beams with multiple flexoelectric actuators based on Newton–Raphson iteration","authors":"Yiming Li, Chen Chen, Mu Fan","doi":"10.1007/s00707-024-04085-9","DOIUrl":"https://doi.org/10.1007/s00707-024-04085-9","url":null,"abstract":"<p>This study delves into the complexity of optimizing multiple actuators on a cantilever beam, focusing on the flexoelectric effect caused by the non-uniform electric field generated by an atomic force microscope (AFM) probe. Multiple actuators control has significant research value in enhancing the flexoelectric effect, greatly alleviating stress concentration and achieving precise vibration control. The current challenge in multiple flexoelectric actuators research is multi-objective optimization, addressed here using the Newton–Raphson iterative method, known for its robustness in the convex function domain, as an optimization framework. By analyzing structural parameters and flexoelectric actuator parameters, significant influencing factors are selected to form the vector space, determining actuator positions and driving voltages. These variables constitute the optimization space and are incorporated into the Newton–Raphson general iterative equation to derive the iteration matrix, which is computed using MATLAB. Case studies confirm that the Newton–Raphson method effectively identifies optimal actuator positions and driving voltages at different modes without external force, significantly improving flexoelectric control efficiency. Additionally, it quickly stabilizes vibrations at different modes under external force. However, the study has limitations, as the Newton–Raphson method cannot effectively solve non-convex function optimization in linear space. This research advances the understanding of multiple actuators optimization control structure dynamics and promotes the development of more effective engineering solutions, particularly in achieving more precise actuation and control in the field of micro- and nano-structure engineering.</p>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"1 1","pages":""},"PeriodicalIF":2.7,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142249036","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}
Acta MechanicaPub Date : 2024-09-14DOI: 10.1007/s00707-024-04089-5
Wei Cai, Zhouquan Wang, Yongqi Zhang, Changyu Liu
{"title":"Microbiology-inspired nonlinear variable-order fractional model for amorphous glassy polymer","authors":"Wei Cai, Zhouquan Wang, Yongqi Zhang, Changyu Liu","doi":"10.1007/s00707-024-04089-5","DOIUrl":"10.1007/s00707-024-04089-5","url":null,"abstract":"<div><p>In this paper, a variable-order fractional model is proposed to characterize the complex nonlinear temperature-dependent mechanical behaviors of amorphous glassy polymers, which play a crucial role in the wide applications. At a specific temperature, the variable order is defined to follow the microbial growth curve, which is consisted of a logarithmic growth stage and decay stage. The two stages are naturally connected on the conception that the growth rate is approaching to 0. The variable order is further physically interpreted based on microscopic mechanism. Furthermore, the relationships between elastic modulus, relaxation time and temperature are incorporated into the established model to demonstrate the temperature dependence. Various experimental results are observed to be well characterized by the proposed model, which validates the rationality and reliability. The predictive ability of the proposed model is also explored to verify its effectiveness.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 12","pages":"7027 - 7038"},"PeriodicalIF":2.3,"publicationDate":"2024-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142249038","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}