Amal Al-Hanaya, Wedad Albalawi, Shreen El-Sapa, Khaled Lotfy, Alaa A. El-Bary
{"title":"Nonlocal Bi-Fractional DPL Multi-Temperature Photo-Thermoelastic Waves in Semiconductors with Variable Thermal Conductivity under Ramp-Type Loading","authors":"Amal Al-Hanaya, Wedad Albalawi, Shreen El-Sapa, Khaled Lotfy, Alaa A. El-Bary","doi":"10.1134/S0025654425606433","DOIUrl":"10.1134/S0025654425606433","url":null,"abstract":"<p>This study presents a generalized theoretical framework for analyzing wave propagation in a semiconductor medium within the context of nonlocal photo-thermoelasticity. The model incorporates bi-fractional dual-phase-lag (DPL) heat conduction, a multi-temperature formulation distinguishing between thermodynamic and conductive temperatures, and temperature-dependent thermal conductivity under ramp-type thermal loading. Nonlocal elasticity is introduced to account for size-dependent mechanical behavior, which becomes significant in micro- and nanoscale semiconductor structures. The governing equations, describing the coupled interactions among displacement, temperature fields, and carrier concentration, are formulated in a two-dimensional setting and reduced using the normal mode method to obtain a characteristic equation governing wave propagation. The influence of the nonlocal parameter, fractional orders, and phase-lag times on the attenuation and dispersion characteristics of thermoelastic waves is examined. The results reveal that nonlocality significantly smooths stress distributions and reduces wave amplitudes, while the bi-fractional DPL model introduces pronounced memory effects that delay thermal responses and modify phase behavior. Furthermore, ramp-type thermal loading leads to more gradual stress development compared with instantaneous heating. The proposed model provides a comprehensive framework for understanding coupled wave phenomena in semiconductor media and offers new insights into the role of size effects and thermal memory in advanced solid-state systems.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"61 3","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148856606","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 Anisotropic Hypoplastic Interface Model Considering Plane Strain Condition and Surface Roughness, and its Application in Predicting the Axial Capacity of Pile Foundation","authors":"Yong-Gwang Jong, Kang-Guk Kim, Un-Aha Kim","doi":"10.1134/S0025654425605890","DOIUrl":"10.1134/S0025654425605890","url":null,"abstract":"<p>Currently, although the plasticity framework has been proposed for the numerical modelling of pile-sand interface, the application of anisotropic hypoplasticity framework is very rare. The hypoplastic models do not need to consider the traditional plastic theory, so have been attracted wide attention. In this paper, an anisotropic hypoplastic interface model is improved by considering the plane strain state and roughness precisely, the relation between the fabric tensor and anisotropic parameters. The applicability of the improved model is validated by comparing the simulation results of existing model and the experimental data. The results indicate that the modified model can be utilized to reflect the mechanical response of sand-pile contact surface.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"61 3","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148856608","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Huan Thanh Duong, Quan Vu Le, Binh Cong Dao, Tien-Thinh Le
{"title":"Analytical and Machine Learning Approach for Prediction and Optimization of Fundamental Frequencies of Functionally Graded Material – Porous Sandwich Plates","authors":"Huan Thanh Duong, Quan Vu Le, Binh Cong Dao, Tien-Thinh Le","doi":"10.1134/S0025654426602028","DOIUrl":"10.1134/S0025654426602028","url":null,"abstract":"<p>This research presents an alytical and machine learning approach for the prediction and optimization of fundamental frequencies in functionally graded material (FGM) – porous – FGM sandwich plates resting on a Pasternak elastic foundation. The analytical model is developed based on the First-Order Shear Deformation Theory (FSDT) to derive the governing equations of motion, which are solved using the Navier solution method. The influence of FGM volume fraction, porosity, aspect ratio, side-to-thickness ratio, and foundation parameters on the fundamental frequencies is systematically investigated. To enhance computational efficiency and improve predictive capabilities, different machine learning models are trained to predict the frequency over a wide range of input parameters. It is shown that the Artificial Neural Network model can predict the dimensionless fundamental frequency with a very strong effectiveness (R<sup>2</sup> = 1.0000, RMSE = 2.2034 and MAE = 1.0309 using testing dataset). Furthermore, optimization studies are also performed to determine the optimal input parameters corresponding to a desired value of frequency. Pros and cons of analytical and machine learning models are also revealed during the optimization process, for instance in order to carry out just 1 iteration optimization, the analytical model needs on average 1958s while the Artificial Neural Network model needs on average only 0.1039 s.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"61 3","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148856689","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Xudong Zhang, Xiuxing Zhu, Jiahao Li, Bo Zhou, Peng Jia
{"title":"Prediction Model for Bulk and Interfacial Stress Redistribution During Phase Transition of Sheath Structure","authors":"Xudong Zhang, Xiuxing Zhu, Jiahao Li, Bo Zhou, Peng Jia","doi":"10.1134/S0025654426601382","DOIUrl":"10.1134/S0025654426601382","url":null,"abstract":"<p>This study develops a hydro-mechanical (HM) multi-field coupled model to track stress evolution in reactive materials like cementitious composites. These materials exhibit highly non-steady-state bulk and interfacial stresses during the transition from liquid to porous solid. Unlike conventional structural analyses, our model accounts for phase transition processes and dynamic boundary conditions. It specifically highlights how material strength development drives load transfer and how endogenous volumetric strain redistributes system stress. By incorporating nonlinear constitutive parameters correlated with the degree of reaction, the model achieves a precise description of the spatiotemporal mechanical response of the sheath system under annular confinement. Validation results demonstrate that the calculated values are in high agreement with experimental pressure evolution trends. The findings reveal that internal volumetric shrinkage is the core driver for the reduction of radial compressive stress and the generation of circumferential tensile stress. Furthermore, the interplay between initial hydrostatic pressure and the evolution of skeletal stiffness dictates the medium-to-long-term evolution path of interfacial stress. This research elucidates the mechanical pathways of stress redistribution in reactive materials during constrained phase transitions, providing a theoretical framework for the structural integrity assessment of heterogeneously evolving materials under complex constraints.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"61 3","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148856614","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On the Applied Theory of Stretching and Bending of a Rectangle and Its Applications to Coefficient Inverse Problems","authors":"A. O. Vatulyan, V. O. Yurov","doi":"10.1134/S0025654425606342","DOIUrl":"10.1134/S0025654425606342","url":null,"abstract":"<p>This paper considers direct and inverse problems for inhomogeneous isotropic rectangular specimens within a generalized plane stress state. For two types of end loads (normal and shear ones), applied deformation models are proposed to account for changes in the Lamé parameters in the longitudinal direction. Using the constructed models, an inverse problem is solved for reconstructing one or two elastic moduli based on displacement field data specified at the lateral boundary. The FreeFem++ finite element package was used to verify the direct problem solution, demonstrating good agreement with displacement fields obtained using applied theories. A series of computational experiments was conducted to reconstruct increasing, decreasing, and nonmonotonic laws of change in elastic moduli.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"61 2","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148751723","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Evolution of the Rotational Movement of a Three-Axis Satellite with Ball Damper in Circular Orbit","authors":"N. I. Amel’kin","doi":"10.1134/S0025654425605853","DOIUrl":"10.1134/S0025654425605853","url":null,"abstract":"<p>For a triaxial satellite with a spherical damper, the equations of rotational motion in an elliptical orbit in the Biletskii–Chernousko variables are derived. On their basis, for the case of a circular orbit, averaged equations of the second approximation over a small parameter were constructed, describing the evolution of non-resonant rotations of the satellite. Bifurcation curves in the space of phase variables of the system are investigated, at the intersection of which the nature of the rotational motion of the satellite changes significantly.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"61 2","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148751667","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Development of Sampling Surfaces Method for Solving Three-Dimensional Problems of Mechanics of Shells","authors":"G. M. Kulikov","doi":"10.1134/S0025654425606810","DOIUrl":"10.1134/S0025654425606810","url":null,"abstract":"<p>The paper presents a review of the sampling surfaces method for solving three-dimensional problems of elasticity, thermoelasticity, electroelasticity and thermoelectroelasticity for layered elastic and piezoelectric shells. According to this method, the sampling surfaces parallel to the middle surface and located at the nodal points of Chebyshev polynomials are introduced in each shell layer, in order to choose displacements, temperatures and electric potentials of these surfaces as unknown functions. This choice of unknown functions allows representation of governing equations of the higher-order shell theory in a sufficiently compact form and obtaining strain-displacement relations that correctly describe displacements of the shell as a rigid body in both geometrically linear and nonlinear formulations.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"61 2","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148751580","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On the Implementation of the Ritz Method in the Problem of Stability Loss of an Infinite Plate with a Circular Hole under Uniaxial Tension","authors":"A. V. Rzhonsnitskiy, S. V. Voloshinova","doi":"10.1134/S002565442560521X","DOIUrl":"10.1134/S002565442560521X","url":null,"abstract":"<p>The article analyses a selection of works on the loss of stability of an infinite plate with a hole under uniaxial tension. A significant improvement to the Ritz method application scheme is proposed. Both calculation options are explored: without and with consideration of natural boundary conditions. In the first case, Legendre polynomials are used, in the second — Jacobi polynomials. The detailed calculation method can become a reliable basis for numerical solutions and theoretical analysis of a whole range of problems concerning the stability of a plate with a hole or insert under tension.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"61 2","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148751581","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Classical Solution of a Mixed Problem of Vibrations of a Nonlinear Timoshenko Beam","authors":"V. I. Korzyuk, J. V. Rudzko","doi":"10.1134/S0025654425606378","DOIUrl":"10.1134/S0025654425606378","url":null,"abstract":"<p>This paper is devoted to the study of a mixed problem in a half-strip for a hyperbolic second-order system of partial differential equations, which can be used to model vibrations of finite Timoshenko beams. The solution to the problem is constructed in an implicit analytical form as a solution to a system of some integro-differential equations. The solvability of these equations, as well as the dependence on the initial data and the smoothness of their solutions, is studied. For the problem in question, the uniqueness of the solution is proved and the conditions under which its classical solution exists are established.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"61 2","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148751583","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On Regularities of Contact Interaction of Surfaces with Regular Microrelief (Three-Dimensional Problem)","authors":"A. A. Bobylev","doi":"10.1134/S0025654425605804","DOIUrl":"10.1134/S0025654425605804","url":null,"abstract":"<p>We consider three-dimensional contact problems with a limited contact area for elastic bodies with a regular microrelief (RMR) applied to their surfaces. It is assumed that Boussinesq solution to the problem of the action of a concentrated normal force on the boundary of an elastic half-space can be used to determine the stress-strain state of bodies. When modeling the contact interaction, a calculation scheme was used in which one of the bodies is considered as a rigid punch, and the second is considered as an elastic half-space with a reduced modulus of elasticity. Families of rectangular punches with RMR, the elements of which are oriented along the sides of the punch, are considered. The regularities of contact interaction of punches with RMR and an elastic half-space were investigated by the method of computational experiment. Based on the established patterns, a method for approximate calculation of load distribution between RMR elements, as well as assessment of maximum and average contact pressure, sizes of actual contact areas and average residual gaps on microprotrusions is proposed.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"61 2","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148751666","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}