Acta MechanicaPub Date : 2025-04-25DOI: 10.1007/s00707-025-04309-6
Runhao Wan, Wenguang Liu, Long Chen, Lei Pang
{"title":"Analysis of traveling wave vibration of GNPs-reinforced bi-directional functionally graded rotating joined cylindrical–conical–cylindrical shells","authors":"Runhao Wan, Wenguang Liu, Long Chen, Lei Pang","doi":"10.1007/s00707-025-04309-6","DOIUrl":"10.1007/s00707-025-04309-6","url":null,"abstract":"<div><p>This article systematically examines the traveling wave vibration characteristics of graphene nanoplatelets (GNPs) reinforced bi-directional functionally graded rotating joined cylindrical–conical–cylindrical (JCCC) shells. Initially, combined with the Donnell thin shell theory and the Halpin–Tsai model, the energy equation of the functionally graded materials (FGMs) JCCC shells is derived. Subsequently, Chebyshev polynomials are utilized to express the displacement function, and the modal frequency equation of the shells is established using the Rayleigh–Ritz method. Finally, the accuracy of the theoretical model is validated through the utilization of case studies, and parameter studies are conducted in the end. The results indicate that the gradient exponent in the thickness direction predominantly influences the vibration characteristics. The FG-X distribution of GNPs has the most significant effect on the JCCC shells. The rigidity of the JCCC shells decreases with an increase in the semi cone angle. As porosity increases, the total mass fraction and surface area of GNPs exhibit a more effective reinforcing effect. As the temperature increases, the stiffness of the structure decreases. The intrinsic frequencies of the structure increase almost linearly with increase in thickness.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 5","pages":"3035 - 3053"},"PeriodicalIF":2.3,"publicationDate":"2025-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143930171","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 : 2025-04-24DOI: 10.1007/s00707-025-04333-6
Chenlin Li, Jiaheng Liu, Yuhao Wang
{"title":"New nonlocal poro-thermoelasticity model and impact response of laser heated temperature-dependent metallic sandwich-like porous laminated composites","authors":"Chenlin Li, Jiaheng Liu, Yuhao Wang","doi":"10.1007/s00707-025-04333-6","DOIUrl":"10.1007/s00707-025-04333-6","url":null,"abstract":"<div><p>This paper aims to establish the nonlocal poro-thermoelasticity model based on Guyer and Krumhansl heat conduction law, of which the new constitutive and governing equations are strictly derived with the aid of the extended irreversible thermodynamics. For numerical example, the newly proposed model is applied to analysis and study the transient responses of temperature-dependent metallic sandwich-like porous laminated composites subjected to non-Gaussian laser ablation with plasma plume absorption mechanisms via the semi-analytical technique based on Kirchhoff transformation and Laplace transformation. The dimensionless results revealing that: (i) the consideration of the nonlocal effect predicted the less thermal stress and deformation; (ii) the laser/absorption parameters of the plasma plume can significantly influence the structural responses by changing the actual energy density absorbed by the surface; (iii) the shielding effect about the absorption mechanisms of plasma plume is: inverse bremsstrahlung (IB) > photo-ionization (PI).</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 6","pages":"3445 - 3474"},"PeriodicalIF":2.9,"publicationDate":"2025-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145168060","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 : 2025-04-24DOI: 10.1007/s00707-025-04277-x
S. Eisenträger, L. Maurer, D. Juhre, H. Altenbach, J. Eisenträger
{"title":"Implementation of isotropic hyperelastic material models: automatic code generation in MATLAB","authors":"S. Eisenträger, L. Maurer, D. Juhre, H. Altenbach, J. Eisenträger","doi":"10.1007/s00707-025-04277-x","DOIUrl":"10.1007/s00707-025-04277-x","url":null,"abstract":"<div><p>With the advent of artificial intelligence and scientific machine learning, the discovery of new material models is driven at an unprecedented pace. However, integrating these novel constitutive laws into finite element analysis codes typically requires expert knowledge in different fields, including mathematics, computer science, continuum mechanics, and numerical methods. This presents a severe roadblock to the widespread adoption of these models in both research and industry. To address this challenge, a methodology for the automatic generation of user material subroutines is presented. This automated code generation process exploits <span>MATLAB</span>’s Symbolic (Math) Toolbox to derive closed-form expressions of the second Piola–Kirchhoff stress tensor and the fourth-order elasticity tensor directly from the strain energy density functional. The resulting expressions are automatically incorporated into a user material template previously developed by the authors. This subroutine is compatible with in-house finite element codes and, with minimal modifications, can be adapted to generate <span>FORTRAN</span> subroutines for use in <span>ABAQUS</span>. The source code is available for download from , allowing readers to immediately test and apply our methodology.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 6","pages":"3413 - 3444"},"PeriodicalIF":2.9,"publicationDate":"2025-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00707-025-04277-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145168059","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 : 2025-04-23DOI: 10.1007/s00707-025-04336-3
Adrián Ruiz, Cláudio H. C. Costa Basquerotto
{"title":"Solvable structures in the falling cat problem","authors":"Adrián Ruiz, Cláudio H. C. Costa Basquerotto","doi":"10.1007/s00707-025-04336-3","DOIUrl":"10.1007/s00707-025-04336-3","url":null,"abstract":"<div><p>In this paper, the theory of solvable structures is applied to the falling cat problem, which concerns the ability of a cat (or any similar creature) to reorient its body in midair during a fall to land on its feet. Under some assumptions and simplifications in the falling cat problem, a coupled system formed by two second-order ordinary differential equations involving an arbitrary scalar function is obtained. In order to address the determination of exact solutions, the Lie algebra of point symmetries admitted by the system is computed, which turns out to be four-dimensional. However, the corresponding symmetry generators are not linearly independent pointwise, and therefore, the classical Lie-Bianchi method cannot be directly applied to solve the system. In order to overcome this difficulty, a solvable structure for the vector field associated with the system is computed, which is used to completely integrate the equations of motion. An alternative integration procedure based on a combination of the Noether theorem and the Lie-Bianchi method is also shown.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 6","pages":"3787 - 3804"},"PeriodicalIF":2.9,"publicationDate":"2025-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145167944","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 : 2025-04-22DOI: 10.1007/s00707-025-04330-9
Xu Wang, Peter Schiavone
{"title":"A partially debonded circular elastic inhomogeneity with a liquid slit inclusion occupying the debonded section under uniform heat flux and temperature change","authors":"Xu Wang, Peter Schiavone","doi":"10.1007/s00707-025-04330-9","DOIUrl":"10.1007/s00707-025-04330-9","url":null,"abstract":"<div><p>We study the two-dimensional heat conduction and thermoelastic problems associated with a circular isotropic elastic inhomogeneity partially debonded from an infinite isotropic elastic matrix subjected to uniform remote in-plane heat flux and uniform temperature change. The debonded portion of the circular interface is occupied by a thermally insulated and incompressible liquid slit inclusion. Closed-form solutions to the two problems are derived by solving two Riemann-Hilbert problems with discontinuous coefficients. The two unknown constants appearing in the solution of the thermoelastic problem are determined by imposing the incompressibility condition of the liquid inclusion. Elementary expressions for the internal uniform hydrostatic stress field within the liquid slit inclusion, the average mean stress within the circular elastic inhomogeneity, the rigid body rotation at the center of the circular inhomogeneity and the two complex stress intensity factors at the two tips of the debonded portion are obtained. A uniform temperature change will not induce any singular stress field and the entire circular interface remains perfect.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 6","pages":"3397 - 3411"},"PeriodicalIF":2.9,"publicationDate":"2025-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145167244","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 : 2025-04-21DOI: 10.1007/s00707-025-04325-6
Boqian Zhang, Juanmian Lei
{"title":"Interpretable data-driven turbulence modeling for separated flows using symbolic regression with unit constraints","authors":"Boqian Zhang, Juanmian Lei","doi":"10.1007/s00707-025-04325-6","DOIUrl":"10.1007/s00707-025-04325-6","url":null,"abstract":"<div><p>Machine learning techniques have been applied to enhance turbulence modeling in recent years. However, the “black box” nature of most machine learning techniques poses significant interpretability challenges in improving turbulence models. This paper introduces a novel unit-constrained turbulence modeling framework using symbolic regression to overcome these challenges. The framework amends the constitutive equation of linear eddy viscosity models (LEVMs) by establishing explicit equations between the Reynolds stress deviation and mean flow quantities, thereby improving the LEVM model’s predictive capability for large separated turbulence. Unit consistency constraints are applied to the symbolic expressions to ensure physical realizability. The effectiveness of the framework and the generalization capability of the learned model are demonstrated through its application to the separated flow over 2D periodic hills and a backward-facing step. Compared to the standard <i>k-ε</i> model, the learned model shows significantly improved predictive accuracy for anisotropic Reynolds stresses, velocity and skin friction, while exhibiting promising generalization capabilities across various scenarios.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 5","pages":"3295 - 3320"},"PeriodicalIF":2.3,"publicationDate":"2025-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143929991","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 : 2025-04-20DOI: 10.1007/s00707-025-04302-z
Mohammad Ali Mohammadimehr, Abbas Loghman, Saeed Amir, Mehdi Mohammadimehr, Ehsan Arshid
{"title":"Vibration behavior of a thick double-curved sandwich panel with auxetic core and carbon nanotube reinforced composite based on TSDDCT and NSGT","authors":"Mohammad Ali Mohammadimehr, Abbas Loghman, Saeed Amir, Mehdi Mohammadimehr, Ehsan Arshid","doi":"10.1007/s00707-025-04302-z","DOIUrl":"10.1007/s00707-025-04302-z","url":null,"abstract":"<div><p>One of the advantages of sandwich structures is the high strength ratio to weight; thus, they are used in various industries such as automobile manufacturing, shipping, airplanes, spacecraft, rockets, railways, and bridges. The present study investigates the vibration behavior of a thick double-curved sandwich panel with an auxetic core and carbon nanotube reinforced composite in face sheet layers based on nonlocal strain gradient theory. In this research, the nano-structural dependence of nonlocal vibration behavior for the double-curved sandwich panel is to investigate the existence of a limit for the scale parameter. The displacement field of the double-curved sandwich panel is considered based on the third-order shear deformation double-curved theory. The displacement fields for four cases such as first and third shear deformation theories for double-curved or flat plate states are formulated. Thus, the governing equations of motion using Hamilton's principle are obtained. Various effects including the nonlocal parameter, strain gradient parameter, aspect ratio, thickness ratio, the radius of curvature, different angles of the auxetic core, four-type geometric of structure, four-type displacement field, and different distributions of CNTs on the dimensionless natural frequencies of the thick double-curved sandwich panel are illustrated. The dimensionless natural frequency increases much more for the positive angle compared to the negative angle. It is shown that the effects of external physical parameters and internal characteristic parameters on vibration behaviors of a double-curved sandwich panel are independent. In this article, the thick double-curved sandwich panel includes four cases, such as cylindrical, spherical, elliptical, and flat plate shapes, so it is used in turbine blades and airplane wings.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 5","pages":"2967 - 3000"},"PeriodicalIF":2.3,"publicationDate":"2025-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143929979","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 : 2025-04-20DOI: 10.1007/s00707-025-04337-2
Yufeng Zhao, Jing Yu
{"title":"Crack-inclusion problem in a superconducting cylinder under pulsed field magnetization","authors":"Yufeng Zhao, Jing Yu","doi":"10.1007/s00707-025-04337-2","DOIUrl":"10.1007/s00707-025-04337-2","url":null,"abstract":"<div><p>This paper presents a numerical analysis of the fracture behavior of bulk superconductors featuring linear cracks and circular inclusions when subjected to a pulsed magnetic field, and the influence of cracks and inclusions on superconductors under the action of pulsed magnetic field is studied. A correlation finite element model is established to calculate the stress intensity factor at the crack tip using the J integral method, and the influence of crack length, crack location and inclusion size on crack behavior is discussed. The results indicate that the crack closes during the ascending phase of the pulse. In the descending stage of the pulse, the reduction in the inclusion radius, the increase in the distance between the crack tip and the inclusion, and the expansion of the crack radius all promote the crack propagation. Furthermore, the influence of thermal stress on crack propagation intensifies as the pulse duration decreases. Additionally, the propagation speed of the crack at the left and right tips consistently differs.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 6","pages":"3385 - 3396"},"PeriodicalIF":2.9,"publicationDate":"2025-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145167398","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 : 2025-04-19DOI: 10.1007/s00707-025-04329-2
Shayan Mannani, Mohammad Arefi, Shadman Mannani
{"title":"Vibration analysis of a smart multi-layer composite cylindrical panel reinforced with graphene nanoplatelets based on higher-order shear and normal deformation theory","authors":"Shayan Mannani, Mohammad Arefi, Shadman Mannani","doi":"10.1007/s00707-025-04329-2","DOIUrl":"10.1007/s00707-025-04329-2","url":null,"abstract":"<div><p>This paper studies vibration analysis of a sandwich cylindrical panel composed of graphene nanoplatelets reinforced core integrated with piezoelectric layers. The governing equations are derived using the Hamilton’s principle based on the shear and normal deformation theory. The effective material properties are estimated through Mori–Tanaka’s micromechanical model and rule of mixture. The piezoelectric coupling effect is applied using the Maxwell’s electrostatic equation. The wave propagation method is used for solution of the governing equations. A verification test is applied to approve our formulation and solution procedure. The results are presented to show impact of circumferential and axial wavenumbers, elastic foundation parameters, and geometric characteristics of the sandwich panel on the natural frequency responses. This model can be used in the design of smart multi-layer composite panels for use in energy harvesting, dynamic stability, vibration control, and structural health monitoring.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 6","pages":"3359 - 3384"},"PeriodicalIF":2.9,"publicationDate":"2025-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145167246","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 : 2025-04-19DOI: 10.1007/s00707-025-04327-4
Qingyuan Gong, Edmond V. Muho, Niki D. Beskou, Ying Zhou
{"title":"Dynamic analysis of rigid cantilever wall retaining linear elastic granular soil with microstructure under time harmonic seismic motion","authors":"Qingyuan Gong, Edmond V. Muho, Niki D. Beskou, Ying Zhou","doi":"10.1007/s00707-025-04327-4","DOIUrl":"10.1007/s00707-025-04327-4","url":null,"abstract":"<div><p>The plane strain problem of the seismic behavior of a rigid cantilever wall retaining a linear elastic granular soil layer over bedrock is solved analytically. The horizontal seismic motion is assumed to be time harmonic, and thus, the problem is solved in the frequency domain. The granular soil is simulated by a linear elastic solid with microstructure due to Mindlin characterized by both micro-stiffness and micro-inertia. The problem is solved first for the case of two rigid walls, and the solution for one rigid wall considered here is obtained as the special case with the wall separation distance to be large enough. The equations of motion for the soil are two partial differential equations with two unknowns (the horizontal and vertical displacements) but of the 4th order instead of the 2nd one, which is the case of classical elasticity. Thus, the boundary conditions here are 8 instead of 4 in classical elasticity. The two displacements are expanded in Fourier sine and cosine series along the horizontal direction, and thus, the two partial differential equations of the problem become ordinary differential equations, which can be easily solved analytically. Finally, the resultant seismic pressure on the wall, the seismic base shear and moment as well as the location of the point of application of that resultant force on the wall are all determined in closed form. The solution is verified against the classical elastic solution by using it as a special case with microstructural effects going to zero. Parametric studies are also performed in order to assess the effects of microstructure on the seismic response of the system.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 6","pages":"3337 - 3357"},"PeriodicalIF":2.9,"publicationDate":"2025-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145167245","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}