Acta MechanicaPub Date : 2025-12-07DOI: 10.1007/s00707-025-04594-1
S. Mortazavi, M. Najafian, I. Yaali
{"title":"Inertia effects on the migration of a drop in simple shear flow","authors":"S. Mortazavi, M. Najafian, I. Yaali","doi":"10.1007/s00707-025-04594-1","DOIUrl":"10.1007/s00707-025-04594-1","url":null,"abstract":"<div><p>The flow of a drop in simple shear flow is studied in two- and three-dimensions including inertia effects. The Navier–Stokes equations are solved by a finite difference/ front tracking method. The lower and upper walls are moving with a constant velocity in opposite directions, and the simulation parameters are chosen to ensure that droplet breakup does not occur. It is found that drop migrates towards the centerline, and steady state position of the drop is on the channel centerline. The steady state position of the drop is always at the center line for all the flow parameters including the viscosity ratio and the Weber number at low and moderate Reynolds numbers. At relatively high Reynolds numbers (100) the drop attains oscillatory motion with a specific period for a two-dimensional drop. The same behavior is observed in three dimensions at higher density and viscosity ratios (150), and relatively low Reynolds numbers (10). The map of drop velocity and deformation with respect to its lateral position shows a single orbit after an initial transition period. In other words, the drop dynamics reach a stable limit cycle when the drop lateral position is used to parametrize in phase space. The drop deformation affects the lateral migration in the transient stage, i.e. the drop migrates faster to the centerline when the deformation is larger. However, the steady state position is not affected by the drop deformation.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 4","pages":"1945 - 1965"},"PeriodicalIF":2.9,"publicationDate":"2025-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147588383","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 : 2025-12-04DOI: 10.1007/s00707-025-04589-y
Huchhanagouda H. Patil, Jeyaraj Pitchaimani
{"title":"Thermoelastic buckling and vibration analysis of shear and normal deformable three-phase bio-inspired composite beams under axially varying temperature fields","authors":"Huchhanagouda H. Patil, Jeyaraj Pitchaimani","doi":"10.1007/s00707-025-04589-y","DOIUrl":"10.1007/s00707-025-04589-y","url":null,"abstract":"<div><p>The thermoelastic buckling and free vibration behaviors of a Three-Phase Composite (TPC) beam subjected to axially varying Non-Uniform Temperature (NUFT) fields is investigated by incorporating Temperature-Dependent (TD) elastic properties of both Carbon Nanotubes (CNTs) and the matrix. The Shear and Normal Deformable Beam Theory (SNDBT) is used to model the kinematics, and the governing equations are formulated through Hamilton’s principle and solved using the Ritz method. TD elastic properties of CNTs are accounted in terms of TD Hill’s constants. Dispersion issue of CNT is accounted in terms of partial and complete agglomeration effects for more realistic material modeling. The results indicate that the area beneath the NUFT distribution profiles serves as a meaningful parameter for interpreting both the critical buckling temperature (<span>(Delta T_{cr})</span>) and the induced axial membrane force (<i>N</i>). NUFT-induced differential thermal expansion generates localized thermal strain variations, and the strain reverses its sign whenever the temperature at a point exceeds the spatially averaged temperature for the given NUFT. Consideration of thickness-stretching deformation (<span>(W_z)</span>) produces noticeable changes in <span>(Delta T_{cr})</span> and the fundamental frequency (<span>(omega _{1})</span>), particularly for the beams with lower aspect-ratio, emphasizing its necessity in thick-beam modeling. The findings provide practical guidance for the design of lightweight, thermally stable composite structures deployed in aerospace and other thermal-environment-critical engineering systems.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 4","pages":"1921 - 1944"},"PeriodicalIF":2.9,"publicationDate":"2025-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147588389","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 : 2025-12-02DOI: 10.1007/s00707-025-04582-5
A. Kurkaani Barvaj, H. R. Ovesy, S. A. M. Ghannadpour
{"title":"Geometric nonlinear and progressive failure analysis of thick laminated box sections under end shortening, using finite strip method","authors":"A. Kurkaani Barvaj, H. R. Ovesy, S. A. M. Ghannadpour","doi":"10.1007/s00707-025-04582-5","DOIUrl":"10.1007/s00707-025-04582-5","url":null,"abstract":"<div><p>In this article, the post-local-buckling behavior and ultimate strength of symmetric and unsymmetric cross-ply composite plate structures with a box cross section under uniform end shortening have been investigated using the finite strip method (FSM). The first-order shear deformation theory in conjunction with the minimum potential energy principle was employed. The boundary conditions at the loading edges are simply supported. Hashin and Rotem’s failure criterion has been implemented for failure analysis, and once the failure occurs, the properties are assumed to degrade instantaneously. Two different models have been considered to apply material properties degradation, i.e., the complete ply degradation model (CPDM) and the strip degradation model (SDM). In the first model, the properties of the entire ply are degraded instantaneously after the failure, and in the SDM, the degradation of material properties occurs only in the strip where the failure has taken place. Convergence analysis has been performed for the number of finite strips as well as the number of terms in the displacement field in the FSM. The finite element method (FEM) is used to verify the results. The effects of the flange-to-web width ratio as well as the thickness ratio on the ultimate strength and the post-local-buckling behavior of the structures have been investigated. It is noticed that the first ply failure (FPF) load as well as the last ply failure (LPF) load of structures with symmetrical layup are higher than the corresponding loads for the unsymmetrical layup.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 4","pages":"1903 - 1919"},"PeriodicalIF":2.9,"publicationDate":"2025-12-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147588385","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 : 2025-12-01DOI: 10.1007/s00707-025-04587-0
Romuald Kuras, Adam Brański
{"title":"Multimodal vibration of cantilever plate: study on optimal shape of PZT actuator","authors":"Romuald Kuras, Adam Brański","doi":"10.1007/s00707-025-04587-0","DOIUrl":"10.1007/s00707-025-04587-0","url":null,"abstract":"<div><p>Geometry of the plate and natural frequencies are crucial in determining optimal location for mounting asymmetric piezoelectric actuator (a-PZT) to reduce vibration. This paper presents a theory that identifies the point where a-PZT should be located when plate vibrates with multiple mode shapes. The modelling approach allows for clear indication of asymmetry in a-PZT shape. Such a-PZT provides maximum multimodal vibration reduction efficiency. Results show evolution of optimal a-PZT depending on the number of modes forced simultaneously and point at which excitation force is applied. The paper also shows that it is possible to significantly reduce multimodal vibration by using a single PZT with asymmetrical shape and specific position on the plate.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 4","pages":"1885 - 1902"},"PeriodicalIF":2.9,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00707-025-04587-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147588352","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 : 2025-12-01DOI: 10.1007/s00707-025-04583-4
James M. Hill
{"title":"Relativistic particle mechanics and Schrödinger’s quantum wave theory","authors":"James M. Hill","doi":"10.1007/s00707-025-04583-4","DOIUrl":"10.1007/s00707-025-04583-4","url":null,"abstract":"<div><p>Special relativistic particle mechanics is based upon Newton’s second law that the applied force is balanced by the rate of change of momentum. Schrödinger’s quantum wave theory makes use of differential operators rather than variables to describe quantities such as energy and momentum, and leading to a wave equation that successfully describes the physics at the atomic scale. Both theories are equally successful in their region of applicability, and the challenge posed here is to formulate a model that might incorporate both and thereby improve our understanding as to why these extremes might be so effective. We describe in simple terms how such a mathematical model might be developed, and we use vectors and vector differential identities to show that under certain conditions both energy and momentum are governed by the wave equation. The resulting theory admits a force expression exactly mirroring the Lorentz force formula of electromagnetism. Comparison of the two formulae suggests that Newtonian mechanics as the rate of change of momentum corresponds to the electric field while the new element of the proposed theory is that which corresponds to the magnetic field. Accordingly, we might infer that existing special relativistic particle mechanics, which is essentially Newton’s second law, has a status which is equivalent to the theory of electromagnetism without the phenomenon of magnetism. It remains to be established that the omission of “magnetic mechanics\" from conventional mechanical accounting is responsible for dark energy and dark matter phenomena.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 4","pages":"1857 - 1884"},"PeriodicalIF":2.9,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00707-025-04583-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147588327","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 : 2025-11-26DOI: 10.1007/s00707-025-04586-1
Xiuhua Ye, Yuxing Wang, Ling Wang, Huoming Shen
{"title":"A semi-analytical numerical method for solving size-dependent three-dimensional adhesive contact of dissimilar elastic materials","authors":"Xiuhua Ye, Yuxing Wang, Ling Wang, Huoming Shen","doi":"10.1007/s00707-025-04586-1","DOIUrl":"10.1007/s00707-025-04586-1","url":null,"abstract":"<div><p>This paper proposes a semi-analytical numerical method for size-dependent three-dimensional adhesive contact problems applicable to various surface geometries. The model is developed based on frequency response functions within the couple stress elasticity framework and an adhesion-extended conjugate gradient method, and employs the Maugis-Dugdale adhesion model to characterize interfacial adhesion behavior. The proposed approach provides a general tool for investigating the adhesive contact behavior of dissimilar elastic materials under the influence of size effects. A detailed parametric analysis is performed using this model to assess the influence of the shear modulus ratio, adhesion parameter, characteristic material length, and normal force on key adhesive contact responses, including pull-off force, contact radius, attraction force, contact pressure, and normal displacement. Results demonstrate that the shear modulus ratio plays a pivotal role in governing adhesive contact behavior in the case of size effects that cannot be neglected. The developed semi-analytical numerical model offers important insights into the adhesive contact mechanics of complex microstructures.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 4","pages":"1835 - 1856"},"PeriodicalIF":2.9,"publicationDate":"2025-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147588405","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 : 2025-11-22DOI: 10.1007/s00707-025-04580-7
Kazumi Watanabe
{"title":"One-dimensional wave in a rotating elastic solid","authors":"Kazumi Watanabe","doi":"10.1007/s00707-025-04580-7","DOIUrl":"10.1007/s00707-025-04580-7","url":null,"abstract":"<div><p>One-dimensional wave in a rotating elastic solid is discussed. Centripetal and Coriolis accelerations are fully incorporated. The fundamental wave produced by the time-harmonic source is reconsidered, and the wave front behaviour of an impulsive wave is also discussed. In spite of one-dimensional nature, the extensional source produces not only the push-and-pull deformation but also the shear deformation, and the shear source also produces these two deformations, simultaneously. Thus, the pure dilatational or shear wave cannot exist due to Coriolis effects and every 1D source in the rotating solid produces two displacement components and two kinds of waves. It is shown that the quasi-dilatational wave generated by the shear or torsional source has less wave energy; however, the quasi-shear wave produced by the extensional or explosive source has the relatively larger wave energy. As for the transient wave produced by an impulsive source, it is found that the strongest wave front singularity is not affected by the rotation, but the waves in the newly generated displacement and stress components have the weaker singularity at the front. It is also shown that the first arrival is the quasi-dilatational wave even if the source is shear or torsion. The dominant response takes place in a time interval between the quasi-dilatational and shear waves. These nature and characteristics are also shown graphically.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 4","pages":"1809 - 1834"},"PeriodicalIF":2.9,"publicationDate":"2025-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147588394","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 : 2025-11-21DOI: 10.1007/s00707-025-04565-6
F. Sadeghi, R. Ansari, A. Basti
{"title":"2D analysis in the context of micromorphic thermo-hyperelasticity: a two-point formulation","authors":"F. Sadeghi, R. Ansari, A. Basti","doi":"10.1007/s00707-025-04565-6","DOIUrl":"10.1007/s00707-025-04565-6","url":null,"abstract":"<div><p>This paper develops a finite element method (FEM) to study the dynamic behavior of two-dimensional (2D) micromorphic thermo-hyperelastic solids with finite deformations. For this purpose, a two-point formulation is derived using energy functions including mechanical, thermal and coupling (due to thermal expansion) between thermal and mechanical parts. The vector–matrix representation of this formulation is also given which can be exploited in the coding procedure of numerical methods. FEM, utilizing the Newton–Raphson and Newmark techniques, has been employed to solve nonlinear time-dependent micromorphic thermo-hyperelastic governing equations. Some test problems are solved to demonstrate the accuracy and reliability of the approach. Furthermore, the influences of internal length parameter, thermal expansion and heat flux on the dynamic behavior of the micromorphic thermo-hyperelastic structures are examined.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 4","pages":"1767 - 1808"},"PeriodicalIF":2.9,"publicationDate":"2025-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147588393","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 : 2025-11-20DOI: 10.1007/s00707-025-04578-1
Zabihulah Zabihi, Morteza Dardel
{"title":"The aeroelastic characteristics of delaminated multilayer triangular composite plate under hypersonic flow","authors":"Zabihulah Zabihi, Morteza Dardel","doi":"10.1007/s00707-025-04578-1","DOIUrl":"10.1007/s00707-025-04578-1","url":null,"abstract":"<div><p>This research paper investigates the complex behavior of a multilayer triangular plate reinforced with rigid metal, comparing its performance to traditional composite materials. It provides a thorough analysis of the thermal buckling behavior of the layered plate under diverse conditions, highlighting the critical role of delamination in influencing structural integrity. The study meticulously examines how delamination, or its absence, affects the plate’s stability, as well as the impact of triangular cross-ply configurations and variations in plate thickness. The findings offer valuable insights into the interplay between multilayer material arrangements and delamination, emphasizing their significant effects on the post-buckling performance of the plate. Additionally, the research explores divergence and flutter instabilities, shedding light on their implications for overall structural stability. A notable aspect of this study is the emphasis on embedded metal plates, which are shown to significantly enhance the performance and resilience of composite plates. In conclusion, the paper underscores the advantages of multilayer configurations, particularly in applications requiring exceptional performance and stability.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 4","pages":"1739 - 1765"},"PeriodicalIF":2.9,"publicationDate":"2025-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147588392","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}