{"title":"Investigation on Anti-Plane Dynamic Stress Characteristics of a Nanoscale Hole in Circular Laminated Structures","authors":"Yue Hong, Jie Yang, Fenghua Cao, Mingliang Yu","doi":"10.1134/S0025654425604276","DOIUrl":"10.1134/S0025654425604276","url":null,"abstract":"<p>The present paper focuses on the dynamic stress response characteristics of nano-scale circular hole defects embedded in biphasic circular laminated structures. A theoretical analytical model for the interface of a biphasic medium with hole defects has been developed using the complex function method, combined with the Helmholtz control equation and wavefield superposition theory. Firstly, expressions for wavefield functions in isotropic media are presented. Subsequently, nano-scale surface/interface effects are introduced to construct an infinite linear system of equations that simultaneously satisfy the continuity conditions of interfacial stress and displacement, as well as the free boundary conditions of circular hole stresses. The analytical solution is obtained by truncating the system of equations to a finite number of terms, which is then analysed through specific examples. The analytical results indicate that the nano-surface/interface factor exerts an inhibitory effect on the dynamic stress concentration around the hole. Furthermore, particular attention should be paid to the amplitude distribution of the dynamic stress concentration factor (DSCF) under the condition of a low wave number ratio, as stress concentration is more likely to be induced when the modulus ratio is low. The software is capable of accurately simulating the formation and evolution of various defects, such as cracks and holes. Furthermore, it has been demonstrated to be capable of predicting the effects of these defects on the mechanical and physical properties of materials with a high degree of efficiency. This approach establishes the foundation for defect detection, life assessment, and optimal design.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 7","pages":"5856 - 5870"},"PeriodicalIF":0.9,"publicationDate":"2026-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147588517","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":"Binary Poroelastic Model with Duality in Porosity and Permeability: Wave Propagation and Reflection-Refraction Phenomena","authors":"Anil K. Vashishth, Vishakha Gupta, Sourab Kamboj","doi":"10.1134/S0025654425603386","DOIUrl":"10.1134/S0025654425603386","url":null,"abstract":"<p>The propagation of harmonic plane waves in a fractured porous medium saturated with two immiscible viscous fluids is important to be studied for modelling complex subsurface wave phenomena. Such multiphase fractured systems are commonly present in sedimentary rock formations, where the coexistence of immiscible fluids and fractures challenges conventional modelling approaches. Despite its relevance to geophysics, reservoir engineering, and environmental applications, studies in this area are limited. Traditional single-porosity models often fail to capture the coupled fluid–solid interactions and the added complexity introduced by fractures. The present study is motivated by the need to develop a more comprehensive understanding of wave propagation under these realistic conditions. The volume average approach is used to model the poroelastic solid in this study. Double porosity and double permeability are incorporated in the mathematical formulation. Analytical results yield complex wave velocities for five types of waves in the fractured porous solid saturated with two immiscible fluids. The interface between water and the fractured porous solid is considered as permeable, with both closed-pore and open-pore boundary conditions as particular cases of this realistic interface. The amplitude and energy ratios of the reflected and refracted waves are derived by hybrid numerical and analytical methods. Numerical computations are done to examine the phase velocity and attenuation of plane waves as a function of frequency. The effects of volume fractions, matrix and fracture permeabilities, and fluid saturation on phase velocities are also examined. The influence of incidence angle, frequency, fracture volume fraction, and partially opened surface pores significantly affects the energy partition. A comparison of Biot’s theory and volume average theory is also done to assess their relative merits in simulating the behaviour of porous media. The outcomes of this study provide useful insights into energy distribution in complex porous structures and have potential applications in subsurface imaging, reservoir characterisation, and underwater sound propagation. Further, results from earlier studies are reached as limiting cases for model validation.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 7","pages":"5737 - 5771"},"PeriodicalIF":0.9,"publicationDate":"2026-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147588522","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":"Influence of Rotation on Hyperbolic Two-Temperature Photothermal Wave Propagation in Thermoelastic Semiconductors Medium","authors":"G. A. Yahya, F. S. Bayones, A. M. Abd-Alla","doi":"10.1134/S0025654425603519","DOIUrl":"10.1134/S0025654425603519","url":null,"abstract":"<p>The article deals with the aims is to investigate the effects of rotational dynamics on a photo-thermoelastic semiconductor within the framework of hyperbolic two-temperature theory. The exploration focuses on the interaction between plasma and thermoelastic waves under this theory, positing the medium as isotropic and homogeneous in nature. The analytical expressions of displacement, stresses and temperature field are obtained by Laplace transform method. The numerical values of the expressions are evaluated using MATHEMATICA. These solutions are obtained through a numerical approach that utilizes the inverse Laplace transform, demonstrating the significance and effectiveness of the findings. Comparative analysis highlights the impact of rotational dynamics and magnetic fields, juxtaposed against scenarios absent these influences and against findings from other studies. The graphical results are presented to shown the effect of different rotation. The comparison of our results for the accuracy of physical quantities with previous research work is carried out graphically that indicates to the strong impact of the external parameters in photothermaol phenomenon.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 7","pages":"5772 - 5783"},"PeriodicalIF":0.9,"publicationDate":"2026-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147588523","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":"SH Wave Propagation in Layered Piezo–Flexoelectric Structures with Imperfect Interface and Flexoelectric Coupling Effects","authors":"K. Hemalatha, S. Kumar","doi":"10.1134/S0025654425604598","DOIUrl":"10.1134/S0025654425604598","url":null,"abstract":"<p>This study analytically examines the influence of the flexoelectric effect on shear-horizontal (SH) wave propagation in a layered structure composed of a piezo-flexoelectric layer bonded to a piezo-flexoelectric substrate, considering an imperfect interface. By applying appropriate boundary and interfacial conditions, a frequency equation is derived that relates the phase velocity to the wave number, incorporating the effects of material properties, interface conditions, geometric dimensions, and flexoelectric coupling. The resulting dispersion relation highlights the roles of interface imperfection, flexoelectric strength, and structural configuration. Numerical simulations performed using Mathematica software illustrate the dispersion behaviour under electrically open and short-circuited boundary conditions, offering insights into the electromechanical wave interaction in layered piezo-flexoelectric media. These findings offer new insights into the design and analysis of piezo-flexoelectric devices with realistic interface conditions.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 7","pages":"5886 - 5898"},"PeriodicalIF":0.9,"publicationDate":"2026-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147588420","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}
S. M. Abo-Dahab, E. S. Elidy, Samar Alshalhoub, Rajneesh Kumar, Yagoub A. S. Arko
{"title":"Initial Stress and Viscosity on Propagation of Rayleigh Waves in Modified Couple Stress Thermoelastic Diffusion Medium","authors":"S. M. Abo-Dahab, E. S. Elidy, Samar Alshalhoub, Rajneesh Kumar, Yagoub A. S. Arko","doi":"10.1134/S0025654425603829","DOIUrl":"10.1134/S0025654425603829","url":null,"abstract":"<p>This research examines how Rayleigh surface waves propagate in a visco-thermoelastic medium modeled using modified couple stress theory (MCST), while accounting for the effects of initial stress, viscosity, and thermo-diffusion coupling. The study is conducted within the frameworks of the Lord–Shulman (L-S) and Green–Lindsay (G-L) generalized thermoelastic theories. The fundamental governing equations and secular equations are derived under conditions of a stress-free surface, thermal insulation, and impermeable boundaries. A numerical algorithm is developed to analyze the impact of hydrostatic initial stress, viscosity, and diffusion on wave parameters such as phase velocity and attenuation. Compared to earlier models that neglected viscosity or initial stress, the present results show that these factors significantly modify the secular determinant and dispersion characteristics of Rayleigh waves. Notably, the inclusion of initial stress leads to increased stiffness in the medium, reducing wave speed and enhancing attenuation. Viscosity introduces stronger damping effects, while diffusion coupling alters the thermal-mechanical interaction, especially at higher frequencies. The study also provides graphical comparisons between the L-S and G-L models, highlighting how the dual relaxation times in G-L lead to more pronounced attenuation. These findings extend previous work by offering a more comprehensive model that captures microstructural and pre-stress effects, which are vital in applications related to geophysics, seismology, and advanced material characterization.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 7","pages":"5820 - 5841"},"PeriodicalIF":0.9,"publicationDate":"2026-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147588422","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":"Fatigue Crack Growth Behavior of Inconel 617 Alloy: Effect of Microstructure, Temperature, Loading, Corrosion and Creep-Fatigue Interaction","authors":"Mumtaz Ahmed, Azher Jameel, Mohammad Mursaleen","doi":"10.1134/S0025654425603696","DOIUrl":"10.1134/S0025654425603696","url":null,"abstract":"<p>Nickel based super alloys have evolved a potential material for high temperature applications including nuclear reactors, chemical industries, aerospace sector and superheated tubes. Inconel alloy 617 is the Nickel based super alloys that has found extensive use in power generating plants where service temperatures are very high. In the past few decades, researchers have shown keen interest in investigating the mechanical behaviour of Inconel 617 alloy under different operating conditions. Current work provides a state of art review on fatigue crack growth (FCG) behaviour of alloy 617 under different operating conditions. Effect of microstructural characteristics such as grain geometries, porosity and inclusions on FCG in alloy 617 has been presented in detail. Elevated temperatures close to melting point have a drastic change on FCG in engineering materials. In view of this, effect of elevated temperatures on FCG behaviour of alloy 617 has been discussed. Influence of load types, load ratios and wave forms on the characteristics of alloy 617 has also been reviewed in the current paper. Chances of corrosion damage gets enhanced at elevated temperatures which has a great impact on residual life of engineering structures. Therefore, studies related to behaviour of alloy 617 under corrosive environments are also discussed in detail. The work concludes with the investigations performed on the creep-fatigue interactions in Inconel 617 as such interactions play a magnificent role in damage accumulation leading to structural failures.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 7","pages":"5784 - 5819"},"PeriodicalIF":0.9,"publicationDate":"2026-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147588406","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":"Stability of Copper and Aluminum Plate with the Impact of Magnetic and Thermal Fields on Edge Wave Propagation","authors":"Subramani Selvi, Rajendran Selvamani, Marin Marin","doi":"10.1134/S0025654425604653","DOIUrl":"10.1134/S0025654425604653","url":null,"abstract":"<p>The stability of homogeneous, isotropic copper and aluminum plates with finite thickness is examined in this work utilizing the coupled thermo-elasticity framework, taking into account influence of temperature and magnetic environments on the behavior of edge waves. An expression describing the phase velocity of these waves is formulated and further simplified under the assumption of a thin-plate structure. Numerical analysis has been conducted to evaluate phase velocities under different values of initial stress parameters, thermo-elastic coupling, and magnetic pressure number, with the findings illustrated through graphical representations.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 7","pages":"5899 - 5914"},"PeriodicalIF":0.9,"publicationDate":"2026-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147588409","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}
S. M. Abo-Dahab, H. A. Abd-Elahmeid, A. M. Abd-Alla, R. A. Mohamed, F. S. Bayones
{"title":"Electro-Magneto-Photo-Thermoelastic Interactions in a Micropolar Generalized Thermoelasticity Theory","authors":"S. M. Abo-Dahab, H. A. Abd-Elahmeid, A. M. Abd-Alla, R. A. Mohamed, F. S. Bayones","doi":"10.1134/S0025654425603131","DOIUrl":"10.1134/S0025654425603131","url":null,"abstract":"<p>The thermodynamical interaction in a two-dimensional micropolar generalized thermoelastic medium with an electromagnetic field have been examined in this work. The main purpose of the current paper is to establish a mathematical novel model in the micropolar theory of generalized thermoelasticity under the framework of photothermal theory. For the required problem solution, we obtained analytical equations for quantities, such as displacement components, temperature field, thermal stresses, carrier density, and couple stress by using the normal mode technique after applying Lame’s potential. MATHEMATICA software has been considered to make graphically display several physical parameters, displacement components, stresses and coupling stress components, including carrier density, and temperature distribution. The comparison of our results for the accuracy of physical quantities with previous research work is carried out graphically. A comparison is made by the previous works neglecting the new external parameters that indicated to the new external parameters strong impact for on the phenomenon of generalized thermoelasticity with electro-magneto-photothermelasticity.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 7","pages":"5689 - 5706"},"PeriodicalIF":0.9,"publicationDate":"2026-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147588516","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 Motion in Porous-Generalized Thermoelastic Medium under Impedance Parameters","authors":"Rajneesh Kumar, Neha, Neelam Kumari, Savita Devi","doi":"10.1134/S0025654425603003","DOIUrl":"10.1134/S0025654425603003","url":null,"abstract":"<p>This research examines the effect of the impedance parameter on the behavior of different reflected wave types at the stress-free surface of a porous generalized thermoelastic half-space. The governing equations are initially derived in a two-dimensional framework and then transformed into their non-dimensional form. Thereafter, potential functions are employed to further simplification of the system. A normal mode technique is used to obtain the solution. The investigation demonstrates the presence of coupled waves, namely longitudinal wave (P-Wave), thermal wave (T-Wave), porous wave (PS-Wave) and independent transverse wave (SV-Wave), which are affected by thermal and porous effects. The amplitude ratios of the reflected waves are obtained by applying appropriate boundary conditions at the interface. The analysis demonstrates that these ratios are significantly sensitivity to the angle of incident, frequency, and impedance parameters. The effect of impedance parameters is presented as amplitude ratios for a specific model. The conclusion highlights key findings and their implications. Comparative analysis with established models in specific cases demonstrates strong agreement, thereby reinforcing the validity of the present model.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 7","pages":"5671 - 5688"},"PeriodicalIF":0.9,"publicationDate":"2026-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147588520","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":"Hyperelastic Models of the Cornea in Ophthalmology","authors":"S. M. Bauer, L. A. Venatovskaya, D. V. Matchenko","doi":"10.1134/S0025654425604549","DOIUrl":"10.1134/S0025654425604549","url":null,"abstract":"<p>The study presents two problems of eye biomechanics in which hyperelastic materials are used to model the cornea. The first problem examines changes in the stress-strain state of the eyeball after the implantation of a MyoRing in patients with high myopia and thin corneas. A two-dimensional finite element model of the eye, consisting of two spherical layers loaded with intraocular pressure, is considered. An elastic ring is inserted into the cornea. A nonlinear axisymmetric contact problem is solved using the ANSYS software package. The nonlinear properties of the cornea are described using the Yeoh hyperelastic model, the Neo-Hookean model, and the two-parameter Mooney-Rivlin model. The changes in corneal curvature radius in response to ring insertion are compared for different corneal models. The numerical results demonstrate that hyperelastic models yield corneal deformations that align well with clinically observed changes. The second problem investigates changes in intraocular pressure during intravitreal injections. Finite element models of the eyeball are presented—without partitions, with one partition, and with two partitions—to assess intraocular pressure in the eye’s internal chambers during injections. Pressure changes in the chambers are evaluated for injections of 0.05 and 0.1 ml into the vitreous body. Simulations are performed for both transversely isotropic and hyperelastic corneal models.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 7","pages":"5560 - 5569"},"PeriodicalIF":0.9,"publicationDate":"2026-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147588500","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}