Hao C. Nguyen, Trong Dang-Huu, Trung Nguyen-Thoi, Son H. Nguyen
{"title":"Correction: An αARS-poly formulation on trimmed quadrilateral-dominant meshes for Reissner–Mindlin plate analysis with complex geometries","authors":"Hao C. Nguyen, Trong Dang-Huu, Trung Nguyen-Thoi, Son H. Nguyen","doi":"10.1007/s00419-026-03183-5","DOIUrl":"10.1007/s00419-026-03183-5","url":null,"abstract":"","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 10","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149034901","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}
Rakesh Kumar Sharma, Vishal Sherwal, Kamlesh Jangid, Vikram Singh, Y. Eugene Pak
{"title":"A plane strain gradient elasticity formulation for orientation-dependent fracture in bidirectionally graded materials","authors":"Rakesh Kumar Sharma, Vishal Sherwal, Kamlesh Jangid, Vikram Singh, Y. Eugene Pak","doi":"10.1007/s00419-026-03186-2","DOIUrl":"10.1007/s00419-026-03186-2","url":null,"abstract":"<div><p>In this study, a simplified yet rigorous Mindlin-type strain gradient elasticity framework is employed to investigate an mode-I inclined crack in a bidirectionally functionally graded material. By transforming the global coordinate system into a crack-aligned local framework, both the material gradation profile and applied loading become explicit functions of crack orientation, establishing a direct coupling between crack inclination and fracture response. The governing equations are formulated using the Fourier transform technique and reduced to a fourth-order boundary value problem. Through the application of higher-order boundary conditions, the problem is transformed into a system of hypersingular integral equations and solved numerically using a Chebyshev collocation scheme. The formulation enables systematic evaluation of crack opening displacement (COD), stress and strain fields, and stress intensity factors (SIF) under orientation-dependent loading conditions. Numerical results reveal significant interactions among crack orientation, material gradation, and intrinsic length-scale parameters. Crack inclination substantially modifies the effective material heterogeneity experienced by the crack and leads to pronounced variations in near-tip fields and fracture intensity. A comparison with the corresponding classical elasticity solutions is also presented to highlight the effects of material gradation and strain gradient parameters on the fracture behavior. The proposed framework provides new insight into the coupled influence of crack orientation, material heterogeneity, and microstructural length scales on fracture behavior in graded materials.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 10","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148981366","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}
{"title":"Ultimate strength estimation of zigzag welded stiffened plates under uniaxial compression using a modified calculation model","authors":"Ji Song Mun, Jong Ik Ri, Yong Ho Ri","doi":"10.1007/s00419-026-03190-6","DOIUrl":"10.1007/s00419-026-03190-6","url":null,"abstract":"<div><p>An advanced method is presented for estimating the ultimate strength of zigzag welded stiffened plates under uniaxial compression. The plate and the stiffener are considered as individual beam-columns. Then, the influence of the longitudinal internal shear force per unit length at the stiffener-to-plate junction is considered for the case of staggered intermittent welding in comparison with the case of chained intermittent welding. The whole span of a zigzag welded stiffened plate is divided into welded and non-welded segments. A modified calculation model is proposed to estimate the ultimate strength of a zigzag welded stiffened plate, and its differential equation of bending is constructed. Using the previous method by Mun et al., the Euler limit load of the zigzag welded stiffened plate is calculated, and the ultimate strength is estimated. The results are compared with the finite element analysis results by Khedmati to demonstrate the validity of the proposed method.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 10","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148981365","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}
{"title":"Correction to: Critical hygrothermal cracking in plate structures under sudden environmental changes","authors":"Jine Li, Baolin Wang","doi":"10.1007/s00419-026-03184-4","DOIUrl":"10.1007/s00419-026-03184-4","url":null,"abstract":"","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 9","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148927080","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}
{"title":"Stability and chaotic dynamics near equilibrium points in the circular restricted three-body problem with radiation pressure, albedo, and oblateness","authors":"Ashok Kumar Pal, Nitesh Prajapati, Bhupendra Jangid, Lata Kumari Bairwa, Rishikesh Dutta Tiwary","doi":"10.1007/s00419-026-03181-7","DOIUrl":"10.1007/s00419-026-03181-7","url":null,"abstract":"<div><p>This paper investigates the effects of radiation pressure, albedo, and oblateness within the framework of the Circular Restricted Three-Body Problem (CR3BP). We have considered the smaller primary produces the albedo effect, while the larger primary is treated as a radiating body. Moreover, the smaller primary is assumed to be oblate, characterized by the zonal harmonic coefficient <span>(J_2)</span>, while higher-order terms are neglected due to their weaker influence on the dynamical system. The novelty of this work lies in the development of a generalized CR3BP model that simultaneously incorporates radiation pressure, albedo, and oblateness, enabling a comprehensive investigation of their combined influence on the system dynamics. Within this framework, we determine the equilibrium points, analyze their linear stability, investigate the zero-velocity curves (ZVCs), and compute Lyapunov periodic orbits around the collinear equilibrium points <span>(L_1)</span> and <span>(L_2)</span>, together with their corresponding Lyapunov characteristic exponents. Radiation pressure was found to have the dominant influence on the displacement of the equilibrium points, whereas albedo and the oblateness parameter <span>(J_2)</span> exert comparatively weaker but still observable effects. The combined perturbations significantly modify the Jacobi constant, reshape the topology of ZVC, and alter the geometry and stability characteristics of the Lyapunov orbits. The corresponding Lyapunov characteristic exponents reveal chaotic behavior in the vicinity of the <span>(L_1)</span> and <span>(L_2)</span> equilibrium points. These results provide a more realistic description of perturbed three-body dynamics and contribute to design of efficient trajectory planning to trajectory design, station-keeping, and low-energy transfer missions involving libration-point orbits.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 9","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148927081","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}
{"title":"An integration scheme for elastoplastic rate-independent single crystals based on Maier’s minimum principle","authors":"Sivasambu Mahesh","doi":"10.1007/s00419-026-03178-2","DOIUrl":"10.1007/s00419-026-03178-2","url":null,"abstract":"<div><p>A novel formulation to determine the incremental crystallographic slip in a rate-independent elastoplastic single crystal subjected to mixed traction and velocity boundary conditions is proposed. Slip is governed by Schmid’s law. The present formulation is based on a theorem due to Maier [Meccanica [49], 3;121–130], which amounts to a statement of the principle of maximum dissipation. It reduces the present problem to one of non-negative quadratic programming. The quadratic program is solved using the non-negative least squares algorithm due to Lawson and Hanson, which has mathematically guaranteed convergence properties. The incremental elastoplastic formulation is used to simulate tensile, and simple shear deformation of copper crystals symmetrically oriented for multislip. The predicted mechanical and microstructural responses compare well with the experimental measurements, and computational results reported in the literature. A computer implementation of the present method is found to be about an order of magnitude faster than a previous formulation based on the unregularised Schmid’s law.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 9","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148926668","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}
{"title":"Interplay of porosity and viscoelasticity in nonlinear free vibrations of cylindrical shells","authors":"Hamidreza Eipakchi, Farid Mahboubi Nasrekani, Hossein Daemi","doi":"10.1007/s00419-026-03179-1","DOIUrl":"10.1007/s00419-026-03179-1","url":null,"abstract":"<div><p>This study presents an analytical investigation into the nonlinear free vibrations of viscoelastic porous cylinders, accounting for the critical effects of geometrical nonlinearity. The nonlinear governing equations of motion are derived for an arbitrary porosity distribution using Hamilton’s principle, integrated with the first-order shear deformation theory and von Kármán nonlinear relations. The material’s viscoelasticity is modeled via the three-parameter Zener model, while the porosity effect is incorporated through Biot’s assumption. To resolve the complex nonlinear equations, the multiple-scale method is employed. A comprehensive parametric study is conducted to elucidate the influence of various porosity distributions, viscoelastic parameters, and geometric configurations on the natural frequencies. A significant advantage of the proposed analytical framework is its versatility in accommodating any continuous porosity distribution. The accuracy and reliability of the analytical results are rigorously validated through comparisons with existing literature and finite element analysis benchmarks.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 9","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-026-03179-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148926638","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}
Anjali Chaudhary, G. V. Radhakrishnan, Abdulkafi Mohammed Saeed, Amit Patil, Ohoud Aljawi, Sheela Hundekari, Abhinav Singhal
{"title":"Retraction Note: Numerical and computational analysis of surface waves in hexagonal piezoelectric quasicrystal layers with imperfect interfaces","authors":"Anjali Chaudhary, G. V. Radhakrishnan, Abdulkafi Mohammed Saeed, Amit Patil, Ohoud Aljawi, Sheela Hundekari, Abhinav Singhal","doi":"10.1007/s00419-026-03182-6","DOIUrl":"10.1007/s00419-026-03182-6","url":null,"abstract":"","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 9","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148928062","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}
{"title":"Mathematical modeling and experimental validation of an eddy current brake with permanent magnets","authors":"T. B. Almeida, R. Nicoletti","doi":"10.1007/s00419-026-03180-8","DOIUrl":"10.1007/s00419-026-03180-8","url":null,"abstract":"<p>Magnetic brakes are devices used in rotating systems to apply a resisting torque to the machine. The most common configuration relies on electromagnetic induction, which generates eddy currents in a rotating component, typically a disk. The torque can be adjusted by controlling the electric current in the electromagnet coils. In contrast, brakes that use permanent magnets produce a constant torque, which depends solely on the distance between the magnets and the rotating part. Although electromagnetic brakes have been extensively studied, permanent magnet brakes are less explored. There are relatively few studies that provide mathematical models capable of accurately predicting the braking torque in line with experimental results. This work contributes to the field by bringing a different approach to model the system. The NdFeB (Neodymium–Iron–Boron) magnets are modeled using an equivalent coil circuit, and the generation of eddy currents is described based on electromagnetic theory to calculate the induced magnetic field in the disk. The model also incorporates the effect of torque saturation at high rotational speeds. The numerical predictions of the braking torque are compared with experimental measurements obtained from a test bench. Tests were conducted at various rotational speeds and with different gaps between the magnets and the rotating element. The results show a strong correlation between the model and the experimental data, confirming the accuracy of the model.</p>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 9","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-026-03180-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148928061","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}
{"title":"A study on dynamic behavior of nonlinear restrained transverse-longitudinal coupled thin beam system","authors":"Qiumei Lou, Yuhao Zhao","doi":"10.1007/s00419-026-03175-5","DOIUrl":"10.1007/s00419-026-03175-5","url":null,"abstract":"<div><p>Elastic beam-coupled systems serve as core dynamic models for numerous complex engineering structures, such as offshore platforms and space robotic arms. During operation, these systems frequently encounter nonlinear boundary restraints and multi-directional dynamic excitation, which readily induce complex coupled vibrations. However, studies simultaneously considering nonlinear boundary conditions and transverse-longitudinal coupled vibrations in beam systems remain insufficient. To address this, this paper establishes a dynamic model for a thin beam system with transverse-longitudinal coupling and nonlinear restraints. Based on Hamilton’s principle and the Galerkin truncation method, the system control equations are derived. The convergence, stability, and reliability of the numerical method are verified, and the vibration response characteristics under different parameters are analyzed. Results indicate that transverse and longitudinal nonlinear stiffnesses exhibit directional specificity in suppressing vibrations across different resonance orders. Increased stiffness induces peak jumps and unstable regions. The coupling angle can synergistically regulate the resonance frequencies and amplitudes of both beams, achieving either “resonance suppression” or “broadband vibration reduction” effects. Furthermore, vibrational energy exhibits non-uniform transfer during angular variations, with Beam 2 demonstrating heightened sensitivity to the coupled geometric configuration. This study unveils the intricate vibrational mechanisms of coupled thin-beam systems under nonlinear restraints, providing crucial theoretical foundations for vibration control and stability optimization in related engineering structures.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 9","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148838150","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}