{"title":"Adaptive framework for FGPS bio-resonators with hollow microcore for mass detection combining nonlocal DQM computation","authors":"Lamine Elaihar, Hicham Bourouina, Soumia Khouni, Brahim Said Djellali, Abir Lamari, Yahia Maiza, Mohamed Mektout","doi":"10.1007/s00707-025-04403-9","DOIUrl":"10.1007/s00707-025-04403-9","url":null,"abstract":"<div><p>This study examines the adsorption-driven resonance shift in biomolecule–microresonator system, taking into account shear distortion, distributed adatoms, and small-scale effects. A dynamic behavior model for a functionally graded porous (FGP) resonator combining with a hollow microbeam is developed, integrating surface stress effects. The functional sandwich microbeam approach and localized biomolecule approach are applied, incorporating van der Waals (vdW) interactions via the Lennard–Jones (6–12) and Morse interatomic potentials to assess the impact of all applied conditions. The adsorption-induced energy is modeled using a distributional approach for both the bio-receptor and spike protein. The dynamic vibration equations are adapted to formulate the Euler–Bernoulli beam model (EBM) and the Levinson beam model (LBM), these models are subsequently solved using the Navier solution method (NSM) and the differential quadrature method (DQM) to evaluate the resonance frequency shift. Numerical findings indicate that the computed shift response is affected by perforation attributes, the presence of adsorbed adatoms, the intensity of the magnetic field, and the small-scale effects. In addition, the frequency shift depends on the active surface parameters, the adsorbed adatoms, and the localized receptor and spike, with interatomic phenomena contributing to the sandwich microsystem’s increased flexibility, that underscores the importance of including such phenomena in computations. Consequently, the proposed model is well-suited for studying the dynamic behavior of biomolecule-resonator systems and determining the mass and density of spikes and viruses in the presence of adatom bonds. The nonlocal dynamic behavior of adatom-microstructure systems is analyzed, providing insights crucial for advancing mass sensing technologies integrated into bio-microelectromechanical systems (Bio-MEMS).</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 8","pages":"4655 - 4697"},"PeriodicalIF":2.9,"publicationDate":"2025-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145144167","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 : 2025-06-18DOI: 10.1007/s00707-025-04357-y
Juchol Jo, Kwangil Ri, Songhun Kwak, Kisong Yu, Poknam Han
{"title":"A meshfree formulation for free vibration and stationary stochastic response analyses of laminated composite annular plate with straight fibers and variable thickness","authors":"Juchol Jo, Kwangil Ri, Songhun Kwak, Kisong Yu, Poknam Han","doi":"10.1007/s00707-025-04357-y","DOIUrl":"10.1007/s00707-025-04357-y","url":null,"abstract":"<div><p>The main aim of the present study is to develop a meshfree Jacobi-radial point interpolation (Jacobi-RPI) method for the free vibration and stochastic response analyses of laminated composite sectorial and annular plates with straight fibers and variable thickness. The Hamilton’s principle is adopted to establish the equations of motion of the laminated composite sectorial plate with straight fiber and variable thickness in framework of first-order shear deformation theory (FSDT). The straight fibers of the laminated sectorial plate are modeled by introducing fiber angles varying with circumferential coordinate, which leads to the loss of symmetry with respect to the rotation axis of the plate. Therefore, the equations of motion of the laminated annular plate with straight fiber are obtained by combining the equations of the several sectorial plates. The displacement components of the plate are approximated by using the meshfree Jacobi-RPI shape function. The accuracy and reliability of the proposed method are validated through a sufficient number of numerical studies. Finally, the effect of fiber direction, thickness parameter and boundary condition on the free vibration and stochastic response of the laminated composite sectorial and annular plates are discussed.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 8","pages":"4603 - 4625"},"PeriodicalIF":2.9,"publicationDate":"2025-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145144166","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 : 2025-06-18DOI: 10.1007/s00707-025-04361-2
Lu Shaonan, Ding Shenghu, Ma Yuanyuan, Zhao Xuefen, Li Xing
{"title":"SH wave scattering by a circular arc-shaped nano-hole located within the half-plane boundary of one-dimensional hexagonal quasicrystals","authors":"Lu Shaonan, Ding Shenghu, Ma Yuanyuan, Zhao Xuefen, Li Xing","doi":"10.1007/s00707-025-04361-2","DOIUrl":"10.1007/s00707-025-04361-2","url":null,"abstract":"<div><p>The scattering characteristics of SH waves enable a deeper understanding of wave propagation, thereby improving the accuracy and reliability of non-destructive testing. By combining with the generalized Young–Laplace equation and the wave function expansion method, the anti-plane problem of SH wave scattering by a circular arc-shaped nano-hole within one-dimensional hexagonal (1DH) quasicrystal (QC) half-plane boundary is studied. Based on the Huygens principle, the Graf’s addition formula and the orthogonal characteristic of trigonometric functions, the analytical solutions for the dynamic stress concentration factors (DSCFs) are obtained. Numerical examples discuss the effects of the surface effects, the wave numbers, and the incident angle on DSCFs with different circular arc-shaped nano-holes. The results indicate that the DSCF of the phonon field decreases gradually with the increasing of the surface effect factors or the incident angle at low frequencies (LFs). The influence of the incident angle and surface effect factors on the DSCFs is irregular at high frequencies (HFs). The arc shape significantly affects the DSCFs as the surface effect factors change. This research enhances understanding of disruption caused by nano-holes to the internal stress field in QCs and provides theoretical support for analyzing their mechanical properties and structural health.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 8","pages":"4627 - 4654"},"PeriodicalIF":2.9,"publicationDate":"2025-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145144170","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 : 2025-06-17DOI: 10.1007/s00707-025-04395-6
Cyprian Suchocki
{"title":"On determination of material parameters in cyclic plasticity","authors":"Cyprian Suchocki","doi":"10.1007/s00707-025-04395-6","DOIUrl":"10.1007/s00707-025-04395-6","url":null,"abstract":"<div><p>In this study, the popular Chaboche-Rousselier elastoplastic constitutive equation is analyzed. Special attention is paid to the material parameter evaluation problem. Several model formulations for DP1000 steel have been calibrated. The influence of the step size assumed for the numerical computations on the solution of the parameter identification problem is demonstrated. Furthermore, it is shown that careful analysis of the model equations leads to derivation of several constraint conditions on the material parameter values. Application of these conditions during the material parameter identification process results in simplification of the elast squares optimization task. Moreover, a new material parameter identification algorithm and a generalization of another one, previously proposed in the literature, are presented. The new algorithm is based on the analytically derived uniaxial process equations. The two aforementioned algorithms are compared with other identification methods, in particular with those utilizing the radial return mapping algorithm.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 8","pages":"4569 - 4602"},"PeriodicalIF":2.9,"publicationDate":"2025-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00707-025-04395-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145143686","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 : 2025-06-16DOI: 10.1007/s00707-025-04381-y
Jie Sheng, Wei Tong
{"title":"A study on Gotoh’s and Yld2000-2d fourth-order polynomial orthotropic yield functions in plane stress","authors":"Jie Sheng, Wei Tong","doi":"10.1007/s00707-025-04381-y","DOIUrl":"10.1007/s00707-025-04381-y","url":null,"abstract":"<div><p>Two formulations of a fourth-order orthotropic yield function in plane stress have appeared in the literature, namely, Gotoh’s complete fourth-order homogeneous polynomial with nine coefficients and Yld2000-2d with eight material parameters and a stress exponent of four. Calibrated with the same three, five, seven, eight or nine independent experimental inputs, the similarities and differences between these two formulations of the fourth-order yield function in anisotropic plasticity modeling of four sheet metals are investigated in this study. It is shown that the fourth-order Yld2000-2d is not unique if the standard set of eight experimental inputs from three uniaxial and one equibiaxial tension tests are used for its parameter identification. Although Yld2000-2d formulation can be used for convexification of a calibrated but non-convex fourth-order polynomial function, the convexity-constrained least-square minimization is a better alternative to guarantee the convexity of a calibrated Gotoh’s yield function without reducing its total number of independent material parameters from nine to seven.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 8","pages":"4509 - 4536"},"PeriodicalIF":2.9,"publicationDate":"2025-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00707-025-04381-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145143546","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 : 2025-06-16DOI: 10.1007/s00707-025-04404-8
Alireza Asnafi
{"title":"The simultaneous effect of small-scale coefficient and bandwidth on the noise-induced chaos of single-walled carbon nanotubes under broadband axial magnetic fields","authors":"Alireza Asnafi","doi":"10.1007/s00707-025-04404-8","DOIUrl":"10.1007/s00707-025-04404-8","url":null,"abstract":"<div><p>This article investigates the dynamic stability and the boundaries of chaotic zones in the response of a single-walled carbon nanotube (SWCNT) subjected to an axial stochastic non-Gaussian magnetic field using a nonlocal elasticity approach. First, the nonlinear equations governing the random vibration of the system are derived by introducing several dimensionless parameters. Second, a modified version of Melnikov’s function for random systems is developed, which leads to an analytical expression for determining the boundaries of the chaotic zone. The boundaries of this chaos zone are plotted and discussed in terms of the small-scale coefficient (SSC), the mean value of the magnetic field intensity (MFI), and the bandwidth of the noise. The proposed method is versatile, applicable to a wide range of excitations, including almost harmonic, wideband, narrowband, and nearly white-noise excitations. The findings provide valuable insights into how the aforementioned dimensionless parameters influence system instability, serving as a foundation for the design of such systems.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 8","pages":"4551 - 4567"},"PeriodicalIF":2.9,"publicationDate":"2025-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145143623","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 : 2025-06-16DOI: 10.1007/s00707-025-04398-3
Wangdong Shi, Lingling Liu, Wenjie Feng
{"title":"Transient response of Griffith crack in piezoelectric semiconductors under impact loading: Mode-I problem","authors":"Wangdong Shi, Lingling Liu, Wenjie Feng","doi":"10.1007/s00707-025-04398-3","DOIUrl":"10.1007/s00707-025-04398-3","url":null,"abstract":"<div><p>The transient response properties of an infinite piezoelectric semiconductor strip with a Griffith crack under dynamic impact loadings are investigated by using the Laplace and Fourier transforms and introducing dislocation density functions, where electrically impermeable crack-face conditions are adopted. This work emphasizes to analysis the transient variations of dynamic energy release rate of the present Mode-I fracture problem, which is derived firstly under various loading combinations and for different initial carrier concentrations and crack configurations. Some useful phenomena are observed. Among them, the dependence of crack propagation on the loading combinations is significant, and negative current (or voltage) loading much more effectively suppresses crack propagation.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 8","pages":"4537 - 4549"},"PeriodicalIF":2.9,"publicationDate":"2025-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145143545","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 : 2025-06-13DOI: 10.1007/s00707-025-04269-x
Ying Tang, Yifei Sun, Yang Guan
{"title":"Thermoplastic modelling of soil–structure interface under different temperatures","authors":"Ying Tang, Yifei Sun, Yang Guan","doi":"10.1007/s00707-025-04269-x","DOIUrl":"10.1007/s00707-025-04269-x","url":null,"abstract":"<div><p>Heat exchange usually occurs between the energy geostructures and surrounding soil, where the soil–structure interface is subjected to non-isothermal loading conditions, with its stress–strain behavior affected by temperature. To address this issue, a two-surface thermoplastic model is developed by enriching an isothermal model with a cap yielding surface, a thermo-plastic hardening mechanism, and a fractional dilatancy rule, where detailed derivations of the loading index and plastic modulus are provided. Then, a numerical algorithm for implementing the developed non-isothermal model is provided. The model is validated by simulating a series of interface shear test results of soils subjected to different temperatures. It is found that the developed thermoplastic model can capture the stress-displacement behavior of soil–structure interface under different temperatures, and the strain response under heating and cooling cycles. The strain softening and normal dilatancy behavior of the interfaces can be reproduced. As the temperature increases, the predicted peak shear stress increases, which agrees well with the corresponding test results.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 8","pages":"4461 - 4474"},"PeriodicalIF":2.9,"publicationDate":"2025-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145143392","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 : 2025-06-13DOI: 10.1007/s00707-025-04364-z
Hayrullah Gün Kadıoğlu, Büşra Uzun, Ömer Civalek, Mustafa Özgür Yaylı
{"title":"Dynamic behavior of micromorphic viscoelastic Euler–Bernoulli beams under viscoelastic boundary constraints","authors":"Hayrullah Gün Kadıoğlu, Büşra Uzun, Ömer Civalek, Mustafa Özgür Yaylı","doi":"10.1007/s00707-025-04364-z","DOIUrl":"10.1007/s00707-025-04364-z","url":null,"abstract":"<div><p>In this study, the free vibration analysis of viscoelastic nonlocal strain gradient Euler–Bernoulli beams under viscoelastic boundary conditions has been conducted. First, the equation of motion has been derived using the nonlocal strain gradient theory and Euler–Bernoulli beam theory, and the Kelvin-Voigt viscoelastic model has been incorporated into the problem to represent viscoelastic material behavior. Fourier series and Stokes’ transformations have been employed for the solution of the problem, and by integrating the boundary conditions into the solution, an eigenvalue problem has been obtained to determine the frequencies of viscoelastic nonlocal strain gradient Euler–Bernoulli beams. The results of the study revealed that the nonlocal scale parameter has a negative effect on damping, while the strain gradient scale parameter has a positive effect. The findings have been presented in detail with the help of tables and graphs and thoroughly evaluated.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 8","pages":"4475 - 4490"},"PeriodicalIF":2.9,"publicationDate":"2025-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00707-025-04364-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145143391","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 : 2025-06-13DOI: 10.1007/s00707-025-04396-5
Fatemeh Hasanzadeh, Mahdi Fakoor
{"title":"Extension of Puck failure criterion for mixed mode I/II fracture investigation of orthotropic materials with cracks along and perpendicular to the fiber direction, considering T-stress effects","authors":"Fatemeh Hasanzadeh, Mahdi Fakoor","doi":"10.1007/s00707-025-04396-5","DOIUrl":"10.1007/s00707-025-04396-5","url":null,"abstract":"<div><p>The current study, which breaks new ground, investigates the behavior of cracked orthotropic composite materials under mixed-mode I/II in-plane loading, a combination of tension and shear within the purview of linear elastic fracture mechanics (LEFM). This paper examines the use of advanced failure criteria in analyzing the fracturing of cracked orthotropic materials. A single initial crack is considered in two orientations: parallel and perpendicular to the fibers. Puck criterion, recognized as a reliable method for investigating failure in laminated composite materials, is utilized for basic formulation. This study presents a generalized analytical formulation of the Puck criterion, referred to as the extended Puck (E-Puck) criterion. This formulation combines the singular stress field associated with a crack tip in orthotropic materials to investigate fractures in these materials. Moreover, considering the nonsingular stress components, the effect of the T-stress term in the mixed-mode criterion is examined. Also, an equivalent fracture toughness in mode I (<span>(K_{IC}^{eq})</span>) has been defined as a new fracture property. To confirm the efficiency, the results obtained using the proposed criterion are presented as fracture limit curves compared to experimental data of Norway spruce and Scot pine wood species and other available mixed-mode criteria. Wood is a highly orthotropic material, meaning it has different strength characteristics depending on the direction of the fibers. The strength of wood along the fiber direction is approximately 12 times greater than its strength in the transverse direction. This significant difference in mechanical properties between the two main orientations can lead to crack propagation along the fibers. This phenomenon is considered when developing the E-puck criterion.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 8","pages":"4491 - 4507"},"PeriodicalIF":2.9,"publicationDate":"2025-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145143622","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}