Acta MechanicaPub Date : 2025-02-10DOI: 10.1007/s00707-024-04189-2
Pham Van Vinh
{"title":"Correction to: A novel modified nonlocal strain gradient theory for comprehensive analysis of functionally graded nanoplates","authors":"Pham Van Vinh","doi":"10.1007/s00707-024-04189-2","DOIUrl":"10.1007/s00707-024-04189-2","url":null,"abstract":"","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 2","pages":"1463 - 1467"},"PeriodicalIF":2.3,"publicationDate":"2025-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143513151","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 : 2025-01-19DOI: 10.1007/s00707-025-04224-w
Jianbo Feng, Yuda Hu
{"title":"Magnetic-thermoelastic coupling resonance and bifurcation behavior of a rotating functionally graded cylindrical shell induced by armature","authors":"Jianbo Feng, Yuda Hu","doi":"10.1007/s00707-025-04224-w","DOIUrl":"10.1007/s00707-025-04224-w","url":null,"abstract":"<div><p>The magnetic-thermoelastic coupling resonance, bifurcation, and chaos of a rotating functionally graded cylindrical shell induced by armature are investigated in present work. The air-gap magnetic field is excited by armature, which induces the nonlinear magnetization of ferromagnetic materials. Meanwhile, a thermal field is set to be distributed nonlinearly along thickness. Based on the dual-nonlinear magneto-thermal effects, geometric nonlinear factors are introduced through Kirchhoff–Love theory. Combining thermoelasticity and magnetic-solid coupling theories, the magnetic-thermoelastic coupling dynamical model is established by Hamilton’s principle. The Galerkin truncation is used to obtain discrete equations, and the amplitude–frequency relationship and stability criterion are derived from Krylov–Bogoliubov–Mitropolski method and Lyapunov stability theory. Through numerical examples, the effects of electromagnetic parameters, temperature, rotational speed, excitation, and dimensions on coupling resonance behaviors are discussed. Results indicate that the resonance region is expanded by increasing the magnetic potential, and non-solution regions are discovered when the excitation position approaches constraints. The bifurcation and chaos exhibit high sensitivity to magnetic potential, rotational speed, and excitation. The response state can be transmitted from periodic to chaos through period-doubling and tangent bifurcation routes.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 2","pages":"1429 - 1457"},"PeriodicalIF":2.3,"publicationDate":"2025-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143513189","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 : 2025-01-18DOI: 10.1007/s00707-024-04212-6
Junling Hou, Xiang Guo, Qun Li, Dandan Zhu, George J. Weng
{"title":"Review on interpretations, applications, and developments of numerical methods in studying interface fracture","authors":"Junling Hou, Xiang Guo, Qun Li, Dandan Zhu, George J. Weng","doi":"10.1007/s00707-024-04212-6","DOIUrl":"10.1007/s00707-024-04212-6","url":null,"abstract":"<div><p>The development of advanced materials like multi-phase composites has brought attention to the problem of interface fracture, leading to a focus on the study of interface fracture mechanics. Numerical methods have become predominant tools for studying interface fracture problems due to their ability to effectively model complex interface fracture processes. This article provides a comprehensive review of the historical development, current research trends, and prospects of numerical methods in interface fracture mechanics. Specifically, the most commonly-used numerical methods in interface fracture mechanics are discussed, including the finite element method, boundary element method, extended finite element method, cohesive zone model, and phase-field method. Additionally, the utilization of the generalized finite element method, scaled boundary finite element method, and molecular dynamic approaches for addressing interface fracture problems in specific cases are also highlighted. This review aims to serve as a valuable resource and reference for researchers and engineers in this field.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 2","pages":"591 - 629"},"PeriodicalIF":2.3,"publicationDate":"2025-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143513095","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 : 2025-01-15DOI: 10.1007/s00707-025-04223-x
Xiang Zhu, Shihao Li, Shan Zhou, Hua Yuan, Guansuo Dui
{"title":"Effects of strain rate on the superelasticity of polycrystalline NiTi shape memory alloy with microvoids: constitutive modeling and molecular dynamics","authors":"Xiang Zhu, Shihao Li, Shan Zhou, Hua Yuan, Guansuo Dui","doi":"10.1007/s00707-025-04223-x","DOIUrl":"10.1007/s00707-025-04223-x","url":null,"abstract":"<div><p>Effects of strain rate and grain size on the superelastic behaviors of polycrystalline NiTi shape memory alloy with microvoids are investigated based on theoretical analysis and molecular dynamics simulation. Firstly, a new constitutive model which is able to reproduce the strain rate and grain size dependence of stress–strain responses is proposed. The proposed model incorporates a transformation function similar to the Gurson–Tvergaard–Needleman potential and takes the presence of microvoids and void growth into account. Secondly, the mechanisms of martensitic transformation, the microstructure evolution during deformation and the superelastic responses at different strain rates and porosity levels are revealed at the atomic level. The simulated results by molecular dynamics demonstrate that the superelasticity of polycrystalline NiTi exhibits a strong dependence on the grain size, the volume fraction of microvoids and the strain rate. The transformation flow stress and dissipation energy density are found to be sensitive to the strain rate and the porosity level; the gradually decreasing grain size exerts an inhibitory influence on the stress-induced martensitic forward and reverse transformation. Higher strain rate and lower porosity have the ability to increase the critical transformation stress and the overall stress level. At last, adopting the parameters obtained from atomic simulation, the proposed model's capability in capturing the strain rate and grain size-dependent superelastic properties of polycrystalline NiTi-containing microvoids is validated.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 2","pages":"1381 - 1394"},"PeriodicalIF":2.3,"publicationDate":"2025-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143513378","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 : 2025-01-15DOI: 10.1007/s00707-025-04230-y
Hadj Youzera, Sid Ahmed Meftah, Abdelouahed Tounsi, Mohamed Abdelaziz Salem, Khaled Mohamed Khedher, Murat Yaylacı
{"title":"Free vibration analysis of sandwich cylindrical shells with functionally graded carbon nanotube-reinforced composite face sheets using the differential quadrature (DQ) method","authors":"Hadj Youzera, Sid Ahmed Meftah, Abdelouahed Tounsi, Mohamed Abdelaziz Salem, Khaled Mohamed Khedher, Murat Yaylacı","doi":"10.1007/s00707-025-04230-y","DOIUrl":"10.1007/s00707-025-04230-y","url":null,"abstract":"<div><p>This study investigates the free vibration behavior of cylindrical shell with a stiff core and functionally graded carbon nanotube-reinforced composite (FG-CNTRC) face sheets. Both uniformly distributed CNT reinforced (UD-CNT) and functionally graded CNT reinforced (FG-CNT) in the thickness direction are used to examine their impact on the vibration characteristics of sandwich cylindrical shells. The governing differential equations of motions are derived using Hamilton’s principle. These equations are solved using the differential quadrature (DQ) method to calculate the natural frequencies of the sandwich cylindrical shell. This approach allows for the consideration of various support configurations of the sandwich cylindrical beams. A comprehensive parametric study is performed to explore the influence of carbon nanotube volume fraction, core-to-face sheet thickness ratio, slenderness ratio, and end supports on the free vibration behavior of cylindrical shells with functionally graded carbon nanotube-reinforced composite (FG-CNTRC) face sheets. The results show that the effects of carbon nanotubes and other geometric factors significantly influence the dimensionless frequencies of the sandwich cylindrical shells.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 2","pages":"1395 - 1410"},"PeriodicalIF":2.3,"publicationDate":"2025-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143513379","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 : 2025-01-15DOI: 10.1007/s00707-025-04232-w
Giacomo Baldan, Francesco Manara, Gregorio Frassoldati, Alberto Guardone
{"title":"The effects of turbulence modeling on dynamic stall","authors":"Giacomo Baldan, Francesco Manara, Gregorio Frassoldati, Alberto Guardone","doi":"10.1007/s00707-025-04232-w","DOIUrl":"10.1007/s00707-025-04232-w","url":null,"abstract":"<div><p>A numerical investigation of the flow evolution over a pitching NACA 0012 airfoil incurring in deep dynamic stall phenomena is presented. The experimental data at Reynolds number Re = 135, 000 and reduced frequency k = 0.1, provided by Lee and Gerontakos, are compared to numerical simulations using different turbulence models. After a preliminary space and time convergence study, two- and three-dimensional URANS with different turbulence models are explored, highlighting the advantages and the drawbacks. Then, the turbulence-resolving capabilities of hybrid RANS/LES strategies are exploited to recover and better represent the dynamic stall vortex. In detail, scale-adaptive simulations (SASs) and stress-blended eddy simulations (SBESs) are adopted. Furthermore, the LES-resolved portion allows a spectral analysis of the force and moment coefficients to investigate the contribution of frequency lower than the pitching one. Finally, a comparison of the proposed approaches with other numerical simulations is given.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 2","pages":"1411 - 1427"},"PeriodicalIF":2.3,"publicationDate":"2025-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00707-025-04232-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143513348","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 : 2025-01-15DOI: 10.1007/s00707-024-04195-4
Ibrahim-Elkhalil Ahmed, Ahmed E. Abouelregal, Mohammed Aldandani
{"title":"Study of the behavior of photothermal and mechanical stresses in semiconductor nanostructures using a photoelastic heat transfer model that incorporates non-singular fractional derivative operators","authors":"Ibrahim-Elkhalil Ahmed, Ahmed E. Abouelregal, Mohammed Aldandani","doi":"10.1007/s00707-024-04195-4","DOIUrl":"10.1007/s00707-024-04195-4","url":null,"abstract":"<div><p>This study presents a novel nonlocal mathematical model for thermo-photo-elasticity, addressing the limitations of classical theories in understanding the interactions between thermal, mechanical, and photoelastic deformations in semiconductors, such as silicon and germanium. The model incorporates nonlocal elasticity, modified heat conduction, and non-singular fractional derivatives, which capture memory effects and nonlocal thermal conduction, offering a more accurate representation of heat propagation. By extending classical elasticity to include long-range spatial and temporal interactions, the model is particularly suited for materials where microscale effects impact macroscopic mechanical behavior. Additionally, it introduces the modified Moore–Gibson–Thompson (MGT) heat conduction model, accounting for finite-speed heat propagation and time delays, thus replacing the classical Fourier approach with a more comprehensive framework that integrates plasma waves and thermomechanical effects.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 2","pages":"1339 - 1358"},"PeriodicalIF":2.3,"publicationDate":"2025-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143513377","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 : 2025-01-15DOI: 10.1007/s00707-024-04191-8
S. Malyshev, K. Avramov
{"title":"Nonlinear normal modes and bifurcations of geometrically nonlinear vibrations of beams with breathing cracks","authors":"S. Malyshev, K. Avramov","doi":"10.1007/s00707-024-04191-8","DOIUrl":"10.1007/s00707-024-04191-8","url":null,"abstract":"<div><p>Two types of partial differential equations, which describe geometrically nonlinear vibrations of flexible beams with breathing cracks, are considered. The mechanical vibrations with two kinds of nonlinearities are considered. The first type of the partial differential equation uses crack function to describe the vibrations of the beams with one crank. The second model can be used to describe the vibrations of beams with several cranks. This approach uses delta function to simulate every crack. A contact parameter is used to describe nonlinearity due to crack breathing. The Galerkin technique is applied to derive the system of the ordinary differential equations with polynomial nonlinearity and piecewise-linear functions of the generalized coordinates. The combination of the collocation method and arc length continuation technique is applied to analyze numerically the nonlinear vibrations, their stability and bifurcations. The nonlinear normal modes of the geometrically nonlinear free vibrations of the beam with the breathing crack are analyzed numerically. The backbone curve of these nonlinear modes contains two loops, saddle-node bifurcations and Neimark–Sacker bifurcations. As follows from the numerical analysis, the nonlinear normal modes modal lines are curved essentially in configuration space. The frequency responses of the forced vibrations contain loops and saddle-node bifurcations. Moreover, the frequency responses of the forced vibrations contain Neimark–Sacker bifurcations, which result in steady quasi-periodic vibrations. The properties of the quasi-periodic vibrations are analyzed numerically.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 2","pages":"1317 - 1337"},"PeriodicalIF":2.3,"publicationDate":"2025-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143513376","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 : 2025-01-15DOI: 10.1007/s00707-025-04222-y
Komal Yadav, Devender Sheoran, Kapil Kumar Kalkal
{"title":"Reflection of plane waves in a microelongated thermoelastic porous medium with Hall current under modified Green–Lindsay model","authors":"Komal Yadav, Devender Sheoran, Kapil Kumar Kalkal","doi":"10.1007/s00707-025-04222-y","DOIUrl":"10.1007/s00707-025-04222-y","url":null,"abstract":"<div><p>In this article, a model of two-dimensional problem of generalized thermoelasticity for a homogeneous, isotropic, microelongated thermoelastic medium with voids and Hall current is established. The enunciation is applied to generalized thermoelasticity theory based on modified Green–Lindsay model. Five coupled waves are found to exist in the medium, namely longitudinal displacement wave (PI), transverse displacement wave (PII), thermal wave (PT), microelongation wave (PM) and volume fraction wave (PV). In order to calculate reflection coefficients, appropriate boundary conditions are taken into account. The numerical calculations have been carried out with the use of MATLAB programming, and reflection coefficients and energy ratios for these reflected waves have been calculated. Graphical representations show how Hall parameters, voids and microelongation affect reflection coefficients and phase velocities. Comparisons are done between the results when certain parameters are present and absent. Variation of attenuation coefficients with frequency is also shown in a plot. Energy ratio expressions have been obtained in explicit form and are represented graphically as functions of incidence angle. It has been established that the sum of the energy ratios at each angle of incidence during the reflection phenomena equals unity. Existing findings are reduced as particular cases for the validation of this study.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 2","pages":"1359 - 1380"},"PeriodicalIF":2.3,"publicationDate":"2025-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143513347","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}