{"title":"Nonlinear time-domain finite element analysis to transient impact responses of Cattaneo-type thermoelastic diffusion with nonlinear Soret and Dufour effects for 2D metallic structure","authors":"Huili Guo, Zhipeng Xu, Fulin Shang","doi":"10.1007/s00419-025-02901-9","DOIUrl":"10.1007/s00419-025-02901-9","url":null,"abstract":"<div><p>The investigations of thermoelastic diffusion coupling are of great importance for manufacturing and micromachining of microelectronic components, especially with the widespread application of ultrafast heating technology in the field of semiconductor manufacturing. In such non-isothermal and non-uniform molar concentration environments, the experimental and theoretical studies show that the nonlinear Soret and Dufour effects significantly affect the heat and mass transport, whereas the influence of these factors are still not considered on this topic. To address such deficiency, present work establishes a new Cattaneo-type thermoelastic diffusion coupling model with the nonlinear Soret and Dufour effects. The principle of virtual work and the nonlinear finite element method are used to directly solve nonlinear finite element control equations. The transient impact responses of an isotropic homogeneity rectangular thermoelastic metallic plate with the nonlinear Soret and Dufour effects are further studied under zonal time-dependent shock loadings of temperature and chemical potential. Dimensionless results reveal that the nonlinear Dufour effect plays a dominant role in the temperature field, directly regulating the heat flux and significantly changing the temperature distribution. The nonlinear Soret effect enhances the structural concentration, stress and deformation responses, improving diffusion wave propagation.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 8","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145171744","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":"Mechanism of temperature-induced electromechanical interactions and sensing optimization in a piezoelectric semiconductor cylindrical shell","authors":"Ziwen Guo, Changwen Mi, Yanjie Mei, Gongye Zhang","doi":"10.1007/s00419-025-02903-7","DOIUrl":"10.1007/s00419-025-02903-7","url":null,"abstract":"<div><p>Electromechanical behaviors of piezoelectric semiconductors (PSs) are sensitive to temperature changes. High-temperature environment monitoring and human body temperature assessment are just some of the possible applications of this phenomenon. This paper presents a theoretical study on temperature-induced electromechanical interactions in a piezoelectric semiconductor cylindrical shell (PSCS) within the first-order shear deformation theory of shells. Temperature variations are coupled into the derived two-dimensional equations via thermoelasticity and pyroelectricity. The mathematical outcomes reveal that the distribution of displacements, electric potentials, and mobile charges in the shell can be manipulated by the temperature field. Our research systematically investigates the effects of thermoelasticity, pyroelectricity, and doping levels on charge redistributions across the PSCS. Furthermore, a comparative analysis between analytical and finite element solutions demonstrates remarkable agreement. For the optimized design of temperature-sensing applications, the multi-field coupling responses of the PSCS are numerically analyzed under array-based temperature fields, considering various distributions of thermal loading regions and boundary conditions. The advancements presented here hold great promise for the design and optimization of PS temperature sensors within shell configurations.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 8","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145170612","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}
Reinaldo Rodríguez-Ramos, Panters Rodríguez-Bermúdez, Sergio Cordero Calvimontes, Jorge A. Rodriguez Duran, Jose A. Otero, Yoanh Espinosa-Almeyda
{"title":"Computational homogenization for the estimation of overall properties in linear viscoelastic composites","authors":"Reinaldo Rodríguez-Ramos, Panters Rodríguez-Bermúdez, Sergio Cordero Calvimontes, Jorge A. Rodriguez Duran, Jose A. Otero, Yoanh Espinosa-Almeyda","doi":"10.1007/s00419-025-02904-6","DOIUrl":"10.1007/s00419-025-02904-6","url":null,"abstract":"<div><p>This study introduces a computational approach using the two-scale asymptotic homogenization method to analyze the effective behavior of composites with layered periodic structures, avoiding the use of integral transforms, which are associated with the theoretical basis in the elastic-viscoelastic correspondence principle. By combining quadrature techniques with an efficient arrangement of Lambda functions, this method automates the calculation of effective coefficients, speeding up intricate simulations in periodic media. The Dischinger and Scott Blair-Rabotnov kernels are considered in elastic and viscoelastic bi-phasic layered composites. The numerical results of the present model are compared with semi-analytical calculations reported in the literature for different cases of layered composite problems. The developed algorithm demonstrates strong potential for improving the accuracy, robustness, and adaptability of computational homogenization techniques in the analysis and design of advanced composite materials.\u0000</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 8","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145170892","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":"Hydro-thermo-poro-viscoelastic model with non-singular fractional derivatives and transient heat-shock response of cylindrical unlined tunnel","authors":"Chenlin Li, Dechen Wang, Liangcheng Zheng","doi":"10.1007/s00419-025-02900-w","DOIUrl":"10.1007/s00419-025-02900-w","url":null,"abstract":"<div><p>To accurately predict dynamic memory-dependent hydro-thermo-mechanical behavior for saturated poro-viscoelastic medium in ultra-fast heating condition (e.g., transient heating technique), this work aims to develop a new hydro-thermo-poro-viscoelastic model, which firstly adopts the Atangana–Baleanu and tempered Caputo non-singular fractional derivatives into deformation evolution law and heat flux equation. The established model is applied to investigate the transient thermal shock response of a cylindrical unlined tunnel by Laplace transformation techniques. Numerical dimensionless results reveal that the fractional parameters in heat conduction significantly lower the thermal wave propagation and reduce the mechanical response, whereas the fractional parameters in deformation maximally decrease the stress and displacement.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 8","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-07-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145170416","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}
F. Nematzadeh, M. Zolfaghari, M. Seyed-Salehi, S. K. Sadrnezhaad
{"title":"Effect of material properties on femoral artery SMA stent performance: a numerical evaluation","authors":"F. Nematzadeh, M. Zolfaghari, M. Seyed-Salehi, S. K. Sadrnezhaad","doi":"10.1007/s00419-025-02891-8","DOIUrl":"10.1007/s00419-025-02891-8","url":null,"abstract":"<div><p>Shape memory alloy (SMA) stents can be employed to decrease the difficulties of femoral artery (FA) diseases. The present simulation modeled the stent material’s superelasticity based on the Helmholtz free energy (Auricchio theory) and Gibbs free energy (Lagoudas theory). The comparative empirical and Auricchio model was almost relatively regular with the empirical data (94%). Furthermore, the present study used FEM to evaluate the impacts of the material properties of the newly designed <b>SMA stent</b> during the radial loading <b>(</b>crimping<b>)</b> and unloading (releasing) process for application in FA. The results showed that the <b>FA SMA stent</b> with material properties contains <i>A</i><sub>f</sub> of 293°K, increasing the <i>A</i><sub>f</sub>: Austenite finish temperature from 284 to 293°K increased upper plateau stresses (UPSs<b>)</b> by 46%, radial resistance force (RRF) by 54%, lower plateau stresses (LPSs<b>)</b> by 36%, chronic outward force (COF) by 26%, strain by 16%, martensite fraction (MF) by 6.77%, and the strain transformation by 62.5% with a safety factor of about 2. The best mechanical and clinical performance is observed in the <b>FA SMA stent</b> with material properties containing <i>A</i><sub>f</sub> of 293°K with favorable COF, RRF, and high conversion strain associated with the great MF and MH (Mechanical Hysteresis) hoop associated with superelastic performance.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 8","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145170329","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}
Selene Solorza-Calderón, Jonathan Verdugo-Olachea, Rajitha Gurijala, Jesus Antonio Sauceda-Cazares
{"title":"On torsional vibrations of infinite axial-symmetric dry and air-saturated poroelastic cylinders","authors":"Selene Solorza-Calderón, Jonathan Verdugo-Olachea, Rajitha Gurijala, Jesus Antonio Sauceda-Cazares","doi":"10.1007/s00419-025-02898-1","DOIUrl":"10.1007/s00419-025-02898-1","url":null,"abstract":"<div><p>This paper aims to provide analytical equations for the torsional phase velocity of an infinite, isotropic, homogeneous, axial-symmetric, poroelastic cylinder employing stress-free boundary conditions for air-saturated and dry cases. Poroelasticity studies materials with a solid skeleton and a fluid-filled pore space. Usually, it is assumed that when the pore space is filled with air, there is practically no fluid flow within the pores; therefore, this case is considered dry. The analysis of wave propagation in a dry poroelastic cylinder is a reference point for understanding how the presence of some fluid modifies the wave’s behavior compared to the completely dry scenario. This work compares the phase velocities for the dry case and the air-saturated case obtained using the Biot theory, Biot viscosity-extended theory, and elasticity theory. The analytical expression for phase velocity is expressed in terms of the properties of the medium and frequency, with the torsional mode of vibration also appearing as a parameter, allowing us to identify which torsional mode is being excited.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 8","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145169043","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":"A review of the three-dimensional elasticity analysis of a rotating annular disk","authors":"Marko V. Lubarda, Vlado A. Lubarda","doi":"10.1007/s00419-025-02896-3","DOIUrl":"10.1007/s00419-025-02896-3","url":null,"abstract":"<div><p>Novel stress-based derivations of three-dimensional elastic stress and displacement fields in an isotropic annular disk of uniform thickness, rotating around its axis of symmetry with constant angular speed, are presented, which complement other more involved derivations available in the literature. The first derivation is based on the direct integration of two partial differential equations for the sum and difference of the in-plane stresses, which are obtained by combining the equation of motion and the compatibility condition. In the second derivation the stresses are obtained by using a simple form of the stress function satisfying a first-order nonhomogeneous partial differential equation following from the Beltrami–Michell compatibility equations, which can be solved readily. The third derivation is based on Love’s stress function of axisymmetric three-dimensional elasticity, generalized to include a rotational inertia force. The resulting nonhomogeneous biharmonic partial differential equation is solved by two alternative methods of constructing its particular and complementary solution. The derived expression for Love’s function has not been reported in the literature before. The displacement-based derivation of elastic fields is also presented, including a construction of the corresponding Papkovich–Neuber potentials.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 8","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-025-02896-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145169360","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}
Weiming Guo, Guanghui Qing, Zhicheng Yong, Zhenyu Wang
{"title":"An optimization method for the splitting factors of generalized mixed finite elements","authors":"Weiming Guo, Guanghui Qing, Zhicheng Yong, Zhenyu Wang","doi":"10.1007/s00419-025-02893-6","DOIUrl":"10.1007/s00419-025-02893-6","url":null,"abstract":"<div><p>Determining the optimal splitting factor is crucial for the efficient application of generalized mixed finite elements (GME). In GME, the splitting factor adjusts the proportion of strain and complementary energy in the functional, which directly affects the accuracy of the numerical solution. To improve the accuracy of distorted hexahedral elements in GME, an alternative method for optimizing the splitting factors is introduced. The deviation of the coefficient matrix between a distorted element and its corresponding standard element is quantified by the matrix norm. Accordingly, the splitting factor is obtained by minimizing the deviation. Rather than adopting a uniform splitting factor, the method determines individualized splitting factors for each element in the finite element model. Several representative examples with different geometric parameters, boundary conditions, and loads are used to validate the proposed method. Numerical examples demonstrate that, compared to adopting a uniform splitting factor of 0.75, the individualized splitting factors significantly improve the numerical accuracy of generalized mixed elements with distortion.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 8","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145169361","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":"Effect of damage initiation in laminated composites using piezoelectric patch: an investigation using AE technique","authors":"Neetika Saha, Parikshit Roy, Pijush Topdar","doi":"10.1007/s00419-025-02907-3","DOIUrl":"10.1007/s00419-025-02907-3","url":null,"abstract":"<div><p>Identification of damage at its initiation is crucial for laminated composites due to their usual brittle behavior. Acoustic emission (AE) technique is capable of identifying such an initiation of damage in real time. However, laminated composites undergo several complex damage mechanisms. These AE-based damage mode identification is a complex phenomenon, and rigorous studies are needed in this direction for assigning signature signal to a specific damage mechanism. In this regard, pencil lead break (PLB), as a tool, is capable of simulating various damage mechanisms in laminated composites. Moreover, the interface of laminated composites is the weakest region, but applying PLB in this region is impossible through experimentation. To address this problem, a numerical model of laminated carbon fiber-reinforced polymer composite is modeled where PLB is applied at the interfaces in order to investigate the damage initiation at these weakest zones. However, a full-scale model of AE sensor to capture the AE waves increases the modeling complexity and cost of computation. In this regard, a simplified modeling approach is introduced by developing a finite element model of piezoelectric patch integrated with laminated composite plate. An approach is developed to correlate the frequency contents of AE signals generated by varying the angle of PLB application with various modes of damage mechanisms in laminated composites by performing wavelet transform. The introduced methodology can be used to identify several modes of damages in laminated composites for high-end engineering applications even when there is scarcity of high-end computational facility.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 8","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145169050","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":"Numerical simulation analysis of failure mechanism of expansive soil canal based on thermo-hydro-mechanics three-field coupling","authors":"Zhe Wang, Ling-kai Zhang, Hui Cheng, Xiao-ying Zhang","doi":"10.1007/s00419-025-02895-4","DOIUrl":"10.1007/s00419-025-02895-4","url":null,"abstract":"<div><p>Under the action of multiple physical fields, slope failure frequently occurs in water conveyance canal projects in northern Xinjiang. The study of its failure mechanism is highly important for disaster prevention. To further study the sliding failure mechanism of the canal slope, COMSOL finite element numerical simulation software was used to establish a thermo-hydro-mechanical (THM) coupling theoretical model by the partial differential equation (PDE) modeling method. The model was analyzed from the perspectives of solar radiation, the lining structure, and the groundwater level. The results show that: (1) The influence of solar radiation causes the canal slope to produce a shade-sun slope effect, and the large U-shaped canal is the most obvious on a single day of the freezing period. The maximum temperature difference among the three structural canals reaches 4.1 °C, 8.1 °C, and 4.8 °C, but the temperature difference during the maximum freezing period decreases. (2) Canal cross-sectional form: The degree of frost heaving uniformity of different canals is as follows: U-shaped canal > arc-bottom trapezoidal canal > trapezoidal canal. The recovery ability of the trapezoidal canal is the worst, which easily results in a hollow state and detachment phenomenon, but the increase in frost heave displacement is the least affected by multiple freeze–thaw cycles. (3) Groundwater level influence: An increase in the groundwater level changes the freezing depth of the canal, which increases by only 2.81% at the top of the canal and 23.91% at the bottom of the canal. When the groundwater level increases and decreases, the maximum frost heave displacement of the extreme point of the canal slope will fluctuate. (4) Canal failure modes: An analysis of the failure characteristics of the canal slope under the action of three influencing factors reveals that the failure modes of the canal mainly include uneven frost heave on the slope surface, hollowing instability of the lining structure, and fluctuations in the extreme points of frost heave.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 8","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145169362","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}