{"title":"Axisymmetric deformation of a circular plate of double-porous fractional order thermoelastic medium with dual-phase-lag","authors":"Aseem Miglani, Rajneesh Kumar, Amarjyot Kaur, Monika Kalra","doi":"10.1007/s00707-024-04092-w","DOIUrl":"10.1007/s00707-024-04092-w","url":null,"abstract":"<div><p>In this paper, an axisymmetric deformation problem of a circular plate of double-porous medium with fractional order thermoelastic dual-phase-lag has been discussed by taking a mathematical model. The solution of the problem is obtained in the transformed field of Laplace and Hankel transforms using eigen value approach in dimensionless form. The solution in the transformed form is inverted numerically for a specific model using a numerical inversion technique for integral transforms through a programme code in MATLAB. The numerical results are discussed graphically, and the impact of the fractional order parameter on various field quantities (normal stress, shear stress, equilibrated stresses and temperature distribution) is observed. Particular cases are discussed by (i) neglecting the porous parameters and (ii) taking different combinations of phase-lag parameters and fractional order parameter, to describe the generalized nature of the problem and the validity of the problem considered.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 12","pages":"7263 - 7278"},"PeriodicalIF":2.3,"publicationDate":"2024-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142737146","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 : 2024-09-22DOI: 10.1007/s00707-024-04093-9
Zhong Zhang, Da Wang, Lu Yao, Jiajing Xu, Yan Xiong, Jie Xiao
{"title":"Two-dimensional heat transfer and thermoelastic analysis of temperature-dependent layered beams with nonuniform thermal boundary conditions","authors":"Zhong Zhang, Da Wang, Lu Yao, Jiajing Xu, Yan Xiong, Jie Xiao","doi":"10.1007/s00707-024-04093-9","DOIUrl":"10.1007/s00707-024-04093-9","url":null,"abstract":"<div><p>In this work, the differential quadrature element method (DQEM) is used to conduct heat transfer and thermoelastic analysis for layered beams based on the two-dimensional Fourier’s law and thermoelasticity theory. The method accounts for temperature-dependent (TD) material properties, nonuniform thermal boundary conditions, and various end constraints. To implement the method, the layered beam is decomposed into several sub-domains. At the interfaces of arbitrary two adjacent sub-domains, the continuity conditions are exactly enforced. The differential quadrature technique is applied for the spatial discretization of the governing equations together with the interface and boundary conditions. The convergence of the DQEM solutions is checked. The correctness of the DQEM solutions is validated by comparison with those obtained by the finite element method and those existing in the literature. Finally, the effects of various factors such as TD material properties, nonuniform thermal boundary conditions, and end constraints on the heat transfer and thermoelastic behaviors of the beam are studied.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 12","pages":"7159 - 7180"},"PeriodicalIF":2.3,"publicationDate":"2024-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142736918","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 : 2024-09-21DOI: 10.1007/s00707-024-04075-x
M. N. Antonova, Shixiang Zhao, Yu. V. Petrov, Mingyi Zheng, Baoqiang Li
{"title":"Incubation-time-based modeling of the grain-size-influenced yield point phenomenon","authors":"M. N. Antonova, Shixiang Zhao, Yu. V. Petrov, Mingyi Zheng, Baoqiang Li","doi":"10.1007/s00707-024-04075-x","DOIUrl":"10.1007/s00707-024-04075-x","url":null,"abstract":"<div><p>This paper presents a modified relaxation model of plasticity (MRP model) that captures the non-monotonic stress–strain relation, especially the yield point phenomenon (YPP), observed in some metallic materials subjected to relatively low loading rates. The YPP refers to a distinct stress decrease during the initial plastic deformation stage. The relaxation model of plasticity (RP model) was developed from the incubation time approach, which takes into account the time sensitivity of materials to describe various stress–strain relationships. Based on experimental facts for copper whiskers, silver whiskers, and magnesium alloys Mg–0.3Ca (wt%) and Mg–1.0Al–1.0Ca–0.4Mn (wt%) with different grain sizes, the descriptive abilities of the MRP model are compared with the original RP model. Thus, the temporal nature of the stress drop effect that reveals itself even for low strain rate conditions is established. Additionally, the impact of grain size on the incubation time is examined, which indicates a noticeable trend of increasing incubation time as grain size decreases.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 12","pages":"7141 - 7158"},"PeriodicalIF":2.3,"publicationDate":"2024-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142737209","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/s00707-024-04069-9
Sarabindu Dolui, Ambalika Halder, Sharad Dwivedi
{"title":"Ultrafast domain wall motion in hexagonal magnetostrictive materials: role of inertial damping, magnetostriction, and dry-friction dissipation","authors":"Sarabindu Dolui, Ambalika Halder, Sharad Dwivedi","doi":"10.1007/s00707-024-04069-9","DOIUrl":"10.1007/s00707-024-04069-9","url":null,"abstract":"<div><p>This article investigates the dynamic features of domain walls in a bilayer piezoelectric-magnetostrictive heterostructure under the influence of piezo-induced strains, inertial damping, and dry friction dissipation. We assume that the magnetostrictive material belongs to the transversely isotropic hexagonal crystal. The analysis is carried out within the framework of the inertial Landau-Lifshitz-Gilbert equation, which describes the ultrafast evolution of magnetization inside the magnetostrictive materials. By employing the classical traveling wave ansatz, the study explores how various factors such as magnetoelasticity, dry friction, inertial damping, crystal symmetry, and a tunable external magnetic field characterize the motion of the magnetic domain walls in both steady-state and precessional dynamic regimes. The results present valuable insights into how these key parameters can effectively modulate dynamic features such as domain wall width, threshold, Walker breakdown, and domain wall velocity. The obtained analytical results are further numerically illustrated, and a qualitative comparison with recent observations is also presented.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 12","pages":"7121 - 7139"},"PeriodicalIF":2.3,"publicationDate":"2024-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142249031","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/s00707-024-04086-8
Hojat Tanzadeh, Hossein Amoushahi
{"title":"Higher-order finite strip method (H-FSM) with nonlocal strain gradient theory for analyzing bending and free vibration of orthotropic nanoplates","authors":"Hojat Tanzadeh, Hossein Amoushahi","doi":"10.1007/s00707-024-04086-8","DOIUrl":"10.1007/s00707-024-04086-8","url":null,"abstract":"<div><p>This paper develops a size-dependent Kirchhoff plate model for bending and free vibration analyses using a semi-analytical higher-order finite strip method (H-FSM) based on the nonlocal strain gradient theory (NSGT). To satisfy the various longitudinal boundary conditions, the continuous trigonometric function series and the interpolation polynomial functions are employed in the transverse direction. In solving nanoplate problems using the H-FSM, the higher-order polynomial shape functions (higher-order Hermitian shape functions) are utilized to evaluate the second derivatives, in addition to the displacement and first derivative. The stiffness and mass matrices, and force vector of the nanoplates are derived using the weighted residual method. A numerical study is conducted to investigate the impact of different factors, such as boundary conditions, nonlocal and strain gradient parameters, aspect ratio, and types of transverse loading. The Navier solution is utilized to analyze the effects of material length scale parameters on bending and free vibration responses of nanoplates for preliminary comparisons. The numerical results show that, when the transverse load on the nanoplate is uniform or hydrostatic and the plate has a CCCC boundary condition, the nonlocal effect does not affect the deflection results and is the same as the obtained results in the local mode.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 12","pages":"7059 - 7082"},"PeriodicalIF":2.3,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142249035","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}