Mechanics of Solids最新文献

{"title":"Study on Seismic Response of Bedrock-Saturated Soil-Saturated Frozen Soil Site under P-Wave Incidence","authors":"Xuan Liu,&nbsp;Qiang Ma,&nbsp;Anhua Xu","doi":"10.1134/S0025654425604914","DOIUrl":"10.1134/S0025654425604914","url":null,"abstract":"<p>Based on the wave-propagation mechanisms in saturated porous media and saturated frozen porous media, this study develops a composite geological model consisting of bedrock, a saturated soil layer, and a saturated frozen soil layer, and systematically derives an analytical solution for the seismic wavefield under incident plane P waves. By introducing the Helmholtz decomposition, the displacement field is decoupled into scalar and vector potentials, so that the solution strictly satisfies interlayer boundary conditions of stress continuity and displacement compatibility. In this way, a set of analytical equations is established to characterize energy-transfer behavior in the wavefield. The theoretical model clarifies elastic wave propagation paths in the three-phase coupled system and their control over the response characteristics of surface ground motion. Numerical simulations are then performed to analyze the influence of saturated soil thickness, medium temperature, and contact and cementation parameters in the saturated frozen soil on site seismic ground motion. The results show that the displacement amplification coefficient differs significantly depending on whether a saturated soil layer is present. When such a layer exists, the displacement amplification coefficient is generally larger, and the vertical amplification coefficient increases with increasing saturated soil thickness. At the same time, the horizontal displacement amplification coefficient decreases as medium temperature, cementation, and contact parameters increase. The vertical amplification coefficient decreases with increasing contact parameters, but increases with increasing medium temperature and cementation.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 8","pages":"6905 - 6928"},"PeriodicalIF":0.9,"publicationDate":"2026-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147738658","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":"Advances in Mechanical Behaviour of Cold-Formed Thin-Walled Steel Built-Up Sections","authors":"Wenhui Liu,&nbsp;Laifu Zhang,&nbsp;Yangzhi Zhao,&nbsp;Yuxiang Shen,&nbsp;Yong Cai","doi":"10.1134/S0025654425606287","DOIUrl":"10.1134/S0025654425606287","url":null,"abstract":"<p>This paper presents a comprehensive review of recent advances in the mechanical behaviour of cold-formed thin-walled steel (CFTWS) built-up section members. Experimental, theoretical and numerical milestones for built-up beams and columns are critically examined. The evolution is traced from early load-capacity validation tests to the integration of the direct strength method (DSM) and effective-width method (EWM) for coupled local-global buckling. More recently, the focus has shifted to performance-based investigations covering high-strength steel, stainless steel, multi-material hybrids and post-fire conditions. A closed test-theory-code loop has thereby been established. Synthesis shows that the built-up effect markedly increases strength and stiffness; nevertheless, interface slip, shear lag and interactive buckling must be accommodated through calibrated modification factors or curved design surfaces. Future work should develop a unified mechanical model, expand multi-failure-mode databases and create AI-driven optimisation platforms, enabling probability-based limit-state design and transforming built-up members from empirically tuned systems into computable, optimisable, high-performance structural products. The review furnishes an engineering-ready design roadmap for green modular and high-rise cold-formed steel (CFS) construction.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 8","pages":"6994 - 7013"},"PeriodicalIF":0.9,"publicationDate":"2026-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147738660","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":"Study on Large Deflection Deformation of Prestressed Circular Membranes under Non-Uniformly Distributed Loads","authors":"Zhixin Yang,&nbsp;Xuehan Deng,&nbsp;Tao Huang,&nbsp;Xiaojun Xie,&nbsp;Honglei Xie,&nbsp;Zhen Wang,&nbsp;Peng He,&nbsp;Shijiang Zhang","doi":"10.1134/S0025654425606056","DOIUrl":"10.1134/S0025654425606056","url":null,"abstract":"<p>In the existing studies, the solution of the axisymmetric deformation problem of the circular membrane under the action of non-uniformly distributed loads is obtained by using the small-rotation-angle assumption, which makes the application of the existing research results have great limitations. In order to provide an analytical solution with a wider application range and higher accuracy, this paper abandons the small-rotation-angle assumption and re-establishes the mathematical model of prestressed circular membrane under non-uniformly distributed loads, and provides its analytical solution. Through static equilibrium analysis, the out-of-plane equilibrium equation is established and the small-rotation-angle assumption commonly used in existing studies is discarded. And then, the governing equations and boundary conditions are presented by the elastic mechanics and an axisymmetric problems of planar radial stretching. The analytical solution of the studied problem is given by using the power series method. The validity and application scope of the obtained solutions are analyzed by comparing with existing studies. Based on the specific numerical examples, the effects of the small-rotation-angle assumption, the load change coefficient and initial stress on the deflection deformation of circular membranes are analyzed. The results show that the solution obtained here applicable to the case of both small and large rotation angles. Furthermore, the computational error of the small-rotation-angle assumption decreases with the increase of initial stress.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 8","pages":"6964 - 6975"},"PeriodicalIF":0.9,"publicationDate":"2026-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147738790","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":"Wave Analysis at the Impendence Boundary of Bio-Thermoelastic Diffusion under MGT Heat Equation","authors":"P. Vikas Singh,&nbsp;E. Rama,&nbsp;Rajneesh Kumar","doi":"10.1134/S002565442560374X","DOIUrl":"10.1134/S002565442560374X","url":null,"abstract":"<p>This study examines the reflection behaviour of plane waves both longitudinal and transverse at an impedance boundary within a bio-thermoelastic diffusion half-space governed by the Moore-Gibson-Thompson (MGT) heat conduction model. The formulation is carried out in two dimensions using dimensionless parameters and potential functions for simplification. Analytical treatment reveals the existence of four types of longitudinal waves and one transverse wave, each propagating at distinct velocities. Amplitude ratios for longitudinal (P), thermal (T), chemical potential (Po), and shear vertical (SV) waves are derived and analyzed as functions of incident angle, frequency, and various medium parameters. The influence of impedance conditions and blood perfusion rate on reflection coefficients is illustrated graphically. Several special cases are also discussed. The findings have significant implications in biomedical engineering, geophysical exploration, and seismic wave analysis.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 8","pages":"6756 - 6773"},"PeriodicalIF":0.9,"publicationDate":"2026-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147738300","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":"Boundary Conditions for Three-Dimensional States of Plastic Solids","authors":"Yu. N. Radaev","doi":"10.1134/S0025654425607554","DOIUrl":"10.1134/S0025654425607554","url":null,"abstract":"<p>In this paper, the formulation of boundary-value problems in perfect plasticity is considered for the stress states corresponding to an edge of the Coulomb-Tresca prism. Solving three-dimensional problems in perfect plasticity requires the formulation of boundary conditions on the surface of a perfectly plastic solid. There are no difficulties in determining the boundary data for the stress tensor in the plane and axisymmetric cases. In three-dimensional case, setting the boundary conditions is associated with solving the problem of determining the orientations of the principal directions of the stress tensor, corresponding to the greatest (or lowest) principal normal stress, on the surface of the solid. It has been shown that, on the free boundary surface, the vector field, indicating the principal directions corresponding to the greatest (or lowest) principal normal stress, is surface-irrotational, and therefore its trajectories are geodesic.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 8","pages":"6691 - 6704"},"PeriodicalIF":0.9,"publicationDate":"2026-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147738397","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":"Propagation of Plane Thermoelastic Waves in a Half-Space with Variable Thermal Conductivity and Micro-Temperatures","authors":"Maaz Ali Khan,&nbsp;M. A. Aljohani,&nbsp;Adnan Jahangir,&nbsp;Usman Riaz,&nbsp;Emad E. Mahmoud,&nbsp;Raheem Gul,&nbsp;Afzal Rahman","doi":"10.1134/S0025654425606949","DOIUrl":"10.1134/S0025654425606949","url":null,"abstract":"<p>While previous studies have examined individual aspects of generalized thermoelasticity, the coupled effects of dual-phase-lag (DPL) heat conduction, micro-temperature, and temperature-dependent thermal conductivity remain unexplored. This work presents the first unified model incorporating all three phenomena to analyze plane wave propagation in a thermoelastic half-space under thermal shock. An analytical solution is developed using normal mode analysis. Numerical simulations for magnesium crystal reveal that: (1) the variable thermal conductivity parameter <i>K</i> dominates wave attenuation, with increasing |<i>K</i>| causing significantly faster amplitude decay; (2) the wave number <i>a</i> amplifies displacement and micro-temperature components while attenuating stresses. These findings offer new insights into energy partitioning and provide design criteria for thermal management where existing models are inadequate.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 8","pages":"7337 - 7357"},"PeriodicalIF":0.9,"publicationDate":"2026-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147738454","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":"Theoretical Models Describing the Failure Behavior of Brittle Materials Based on Compression: A Review","authors":"M. A. Minghui,&nbsp;Y. U. Yilei,&nbsp;G. A. O. Guangfa","doi":"10.1134/S0025654425606317","DOIUrl":"10.1134/S0025654425606317","url":null,"abstract":"<p>Over the past few decades, dynamic fracture theory, rooted in energy balance and crack propagation, has laid a fundamental groundwork for analyzing fracture phenomena in various ballistic applications. This paper systematically reviews several classical models that characterize the compressive failure behavior of brittle materials. Models based on energy conversion principles posit that the total energy of a fracturing body splits into the kinetic energy of expanding fragments and the fracture energy—the latter theoretically derived from changes in the system’s free energy during fracture. In contrast, models centered on crack propagation explore key phenomena such as elastic modulus degradation, dilatancy, pressure sensitivity, and strain-rate dependent yielding. Additionally, a range of models have been effectively developed for numerical simulations. Among these, the DP and JH-2 models describe the constitutive and failure behavior of brittle solids by incorporating pressure dependence and stress-strain relationships, while the DFH model employs a probabilistic framework based on Weibull statistics to represent the fracture states of brittle materials. Through a detailed analysis of these classical frameworks, this review provides critical insights that support the advancement and refined modeling of compressive fracture in brittle solids.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 8","pages":"7176 - 7212"},"PeriodicalIF":0.9,"publicationDate":"2026-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147738731","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":"Instability Behavior of FG Nanoplates Resting on Nonlinear Kerr Foundations under Hygro-Thermo-Mechanical Load Using Nonlocal Elasticity Theory","authors":"H. Benachi,&nbsp;A. Menasria,&nbsp;A. Bouhadra,&nbsp;S. Refrafi,&nbsp;M. Baazouzi,&nbsp;M. Chitour,&nbsp;N. Himeur","doi":"10.1134/S0025654425605002","DOIUrl":"10.1134/S0025654425605002","url":null,"abstract":"<p>This study examines the buckling response of functionally graded material (FGM) nanoplates resting on nonlinear Kerr elastic foundations under coupled hygrothermal-mechanical loading and diverse boundary conditions. A novel computational framework is developed by integrating a simplified quasi-3D higher-order shear deformation theory (HSDT) with only five displacement variables and Eringen’s nonlocal elasticity theory, enabling the precise modelling of nanoscale effects through integral constitutive relations. The FGM nanoplate exhibits a continuous material gradation across its thickness and is subjected to nonlinear hygrothermal gradients, mechanical stresses, and foundation interactions. The governing equations are derived using the principle of virtual displacements and solved for various edge constraints, including simply supported and clamped configurations. The developed model has been verified through comparison with established benchmark results for buckling in FG nanostructures, revealing close correspondence where deviations are generally under 0.1%, thus confirming the proper execution of the nonlocal plate theory. Parametric analyses revealed the critical influences of the material gradation index, nonlocal parameter, Kerr foundation stiffness, and hygrothermal environmental conditions on stability thresholds. The results highlight the destabilising effects of increasing hygrothermal gradients and the stabilising role of shear-layer stiffness in the Kerr foundation. This study provides a computationally efficient tool for designing advanced FGM-based nanoelectromechanical systems (NEMS) operating in multifield environments, bridging the gaps between classical plate theories and full 3D nanomechanics.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 8","pages":"7085 - 7109"},"PeriodicalIF":0.9,"publicationDate":"2026-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147738885","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":"","authors":"","doi":"","DOIUrl":"","url":null,"abstract":"","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 8","pages":"6660 - 6666"},"PeriodicalIF":0.9,"publicationDate":"2026-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147738396","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":"Deformation of a Non-Thin, Non-Closed Orthotropic Shell Taking Into Account Imperfect Elasticity","authors":"A. A. Treshchev,&nbsp;D. O. Besstrashnov","doi":"10.1134/S0025654425605695","DOIUrl":"10.1134/S0025654425605695","url":null,"abstract":"<p>A mathematical model for determining the stress-strain state of an orthotropic cylindrical shell with an open profile is proposed, based on the finite element method. The shell is not considered thin or medium-thick, to which the technical hypotheses of Kirchhoff, Timoshenko, Ambartsumyan, or Vlasov do not apply. As an example of model implementation, rigid restraint along the contour of the generatrices is considered. The developed model is based on a three-dimensional stress-strain state and a physically nonlinear approach to accounting for the mechanical properties of materials, associated with their dependence on the type of stress state. In other words, the model is constructed taking into account the structural properties of the materials from which the shell is constructed. These properties manifest themselves in orthotropic composites, where, under loading, the components of the compliance tensor continuously vary from point to point as the ratios between the components of the stress tensor change, which can be interpreted as induced mechanical heterogeneity of the material. The relationship between second-rank tensors is derived from the strain potential formulated in the normalized space of the principal material axes of orthotropy. These features of the problem somewhat complicate the calculations of spatial structures. Therefore, the developed mathematical model is based on isoparametric ten-node finite elements in the form of a tetrahedron with three degrees of freedom per node, the stiffness matrix of which was transformed to account for the mechanical properties of orthotropic materials. Due to the general nonlinearity of the resulting model due to the specific nature of the shell material, its numerical implementation was carried out using an iterative procedure of the variable elasticity method. As a result of implementing the computational model, the required set of parameters for the stress-strain state of the shell was obtained. The calculation results were compared with the characteristics obtained using the best-known equations of state for orthotropic materials with imperfect elasticity. A brief analysis of the obtained quantitative characteristics of shell deformation and its qualitative patterns is provided, taking into account various equations of state.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 8","pages":"6679 - 6690"},"PeriodicalIF":0.9,"publicationDate":"2026-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147738393","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}