Zuhur Alqahtani, Ibrahim Abbas, Alaa A. El-Bary, Areej Almuneef
{"title":"Study of Thermal Injuries in Living Tissues Based on the Green–Naghdi Type III Model","authors":"Zuhur Alqahtani, Ibrahim Abbas, Alaa A. El-Bary, Areej Almuneef","doi":"10.1134/S0025654426600388","DOIUrl":"10.1134/S0025654426600388","url":null,"abstract":"<p>This work presents a theoretical framework for predicting the thermal responses of human tissues during tumors thermotherapy, focusing on the effects of external heat sources. The impact of heat production during thermal treatments on multilayer spherical cancer tissues is evaluated using this model. Analytical solutions for the non-homogeneous differential equation are derived in Laplace domain, enabling a comprehensive analysis of thermal behavior. The temperature of the tissue and the related tissue damage with respect to the varying time of pulsed heat and laser power are examined. Graphs show the results of the numerical simulations of the distributions of temperature and the resultant thermal damage. The model encompasses the phenomena of the tissue with metabolic activity, laser therapy, and blood perfusion.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"61 3","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149035013","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":"Dynamic Analysis of a Rotating Axially Moving Nano-Annular Plate Based on Nonlocal Strain Gradient Theory","authors":"Jing Wang, Hongjie Liang, Biao Hu, Hongjun Zhu","doi":"10.1134/S0025654426601734","DOIUrl":"10.1134/S0025654426601734","url":null,"abstract":"<p>This study proposes a continuum model for nanostructures that accounts for the coupling between axial and rotational motions. Utilizing the nonlocal strain gradient theory and discretized via the Galerkin method, the model is applied to investigate the free vibration behavior and stability of nanostructures under various axial velocities and scale parameters. Results demonstrate that an increase in the thickness-to-radius ratio reduces the system’s equivalent stiffness, resulting in a marked decline in natural frequencies. Higher-order vibration modes exhibit heightened sensitivity to variations in axial velocity and structural dimensions, rendering them more easily excitable and significantly altering the system’s dynamic response. The analysis further clarifies the competing roles of nonlocal parameters and material length scales in governing nanoscale stiffness, underscoring the necessity of incorporating scale-dependent effects in microscale design. Stability assessments reveal that natural frequencies decrease with rising axial velocity, and a critical velocity threshold is identified beyond which dynamic instability emerges. This work provides a theoretical framework to support the design and dynamic performance optimization of advanced technologies such as high-speed nano-actuation systems and micro/nano-electromechanical systems sensors.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"61 3","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149034934","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}
Nguyen Van Dung, Nguyen Duong Phung, Phung Van Minh, Do Van Thom, Lai Thanh Tuan
{"title":"Study of the Ability of Vibration Absorption of Barriers in the Form of a Plate under the Influence of a Non-Stationary Load","authors":"Nguyen Van Dung, Nguyen Duong Phung, Phung Van Minh, Do Van Thom, Lai Thanh Tuan","doi":"10.1134/S0025654425603660","DOIUrl":"10.1134/S0025654425603660","url":null,"abstract":"<p>The article considers numerical and analytical methods for assessing vibration protection properties of various types of obstacles in the ground, and the choice of the optimal structure of a vibration-absorbing obstacle based on the obtained results. For this purpose, a non-stationary effect induced in an elastic medium with a different geometry of the incident wave is specified. The functions of the influence of displacements and stresses in an elastic half-space are determined for a unit field of displacement of the half-space boundary. The problem of wave passage through an obstacle is solved, with the Kirchhoff-Love plate and the three-layer plate of V.N. Paimushin used as a model. The stresses and displacements of the medium after passing the obstacle are determined. The analysis of vibration-absorbing properties of homogeneous obstacles and obstacles of complex design under the influence of attenuated waves of different geometries is performed. As a result, their effectiveness is estimated.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"61 3","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149034580","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":"The Mechanical Properties and Damage Pattern Law of Black Shale by Prefabricated Fracture Angle and Bedding Angle","authors":"Xu Feng, Yongqi Liu, Feiyang Yuan, Xianchao Yang","doi":"10.1134/S0025654425607438","DOIUrl":"10.1134/S0025654425607438","url":null,"abstract":"<p>Bedding-plane architecture and prefabricated fractures markedly influence shale mechanics. To investigate their coupled effects in black shale, we conducted Brazilian splitting tests on CT-imaged specimens and constructed three-dimensional numerical models in RFPA<sup>3D</sup>; the simulations were then used to interpret damage evolution. Results indicate that tensile strength decreases monotonically with increasing bedding-plane inclination, whereas it follows a U-shaped trend—first decreasing and then increasing—with prefabricated-crack angle. We further examine the relation between the relative orientation of bedding and cracks and the resulting strength. Regarding fracture mode, the prefabricated-crack angle controls the location of peak tensile stress and thus the fracture-initiation site, while bedding inclination governs the crack-propagation path. Analyses of type I and type II fracture toughness reproduce the observed failure processes in specimens containing prefabricated cracks: the notch primarily guides tensile damage, and at small crack angles the bedding inclination exerts a stronger influence on shear damage. Finally, spatial mappings and count evolution of acoustic-emission events provide additional constraints on the damage mechanisms and their progression.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"61 3","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149034787","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}
X. M. Meng, X. Z. Wu, T. S. Alhalaybeh, A. I. Chowdhury, S. Zhang
{"title":"Differential Hardening of DH980 Steel Sheet: Experiments and Analytical Modeling","authors":"X. M. Meng, X. Z. Wu, T. S. Alhalaybeh, A. I. Chowdhury, S. Zhang","doi":"10.1134/S0025654426601527","DOIUrl":"10.1134/S0025654426601527","url":null,"abstract":"<p>An accurate description of the material yielding behaviour is significantly important for predicting complicated forming processes using numerical analysis. The texture developed during cold rolling affects the work hardening rate of metal sheets, causing the yield surface to change in size and shape depending on loading directions and conditions during plastic deformation. Under rolling loading directions, four mechanical tests were conducted to characterize Swift-Voce hardening law using stress-strain curves. Inverse engineering approach was carried out to calibrate the materials parameter, and the load-displacement curves of the DH980 High Strength Steel (HSS) were predicted using the von Mises yield function and the pressure-coupled Drucker yield function. Compared to the von Mises yield function, the pressure-dependent Drucker yield function provides a more accurate representation of the plastic behaviour and strain hardening under various stress states, including shear, uniaxial tension, and plane strain tension, for the material in question. The findings indicate that the pressure-coupled Drucker yield criterion effectively predict the anisotropy in stress, strength differential effect, and the evolution of the yield surface of the investigated metals.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"61 3","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149034936","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":"Fracture Parameter and Prediction Model of Cold Creep-Fatigue Crack Growth Rate","authors":"Jian Li, Tao Sun, Shu-Hua Lu","doi":"10.1134/S0025654426600595","DOIUrl":"10.1134/S0025654426600595","url":null,"abstract":"<p>This paper studies the fatigue fracture parameters considering the different plastic deformation states at crack tip. On this basis, the fracture parameter characterization and the prediction model of cold creep-fatigue crack growth rate under different plastic deformation conditions at crack tip are studied considering the influences of cold creep. Results show that it is not appropriate to use fracture parameter (<i>C</i><sub>t</sub>)<sub>avg</sub> to correlate the cold creep of commercial pure titanium with fatigue crack growth rate. The fatigue crack growth resistance of high load ratio is bigger and cold creep improves the crack growth resistance further. <span>(Delta J_{{operatorname{ac} }}^{'})</span> correlating with cold creep-fatigue crack growth rate can better explain the fracture morphology characteristics compared with Δ<i>J</i><sub>ac</sub>, so it can better reflect mechanism of cold creep-fatigue crack growth. Among all the fracture parameters discussed, <span>(Delta J_{{operatorname{ac} }}^{'})</span> is the most suitable fracture parameter for creep-fatigue crack growth of commercial pure titanium. The prediction model of cold creep-fatigue crack growth rate is proposed on this basis.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"61 3","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149035268","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}
Bo Hao, Zhitao Dong, Caixian Xu, Zhengyu Li, Yusheng Lin, Kun Duan
{"title":"Influence of Fragment Morphology on the Penetration Behavior of Curved Thin-Shell Structures","authors":"Bo Hao, Zhitao Dong, Caixian Xu, Zhengyu Li, Yusheng Lin, Kun Duan","doi":"10.1134/S0025654426600273","DOIUrl":"10.1134/S0025654426600273","url":null,"abstract":"<p>Thin-shell structures are widely employed in military unmanned aerial vehicles (UAVs) to balance aerodynamic efficiency with strict weight limitations, and understanding the fragment penetration behavior of their curved components is of significant importance for assessing and improving battlefield survivability against explosive munitions. In this study, comprehensive finite element simulations based on Abaqus/Explicit are conducted to investigate the penetration mechanisms and failure modes of curved 2A12 aluminum alloy targets subjected to high-velocity impacts by cylindrical, cubic, and spherical fragments. Three target configurations are considered to evaluate various protective design strategies, including monolithic, contact double-layer, and spaced double-layer shells. The effects of fragment morphology, target configuration, and target curvature are systematically analyzed through the evaluation of energy dissipation, ballistic limit velocity, and localized stress concentration. The results show that cylindrical fragments exhibit the highest penetration capability due to their geometric characteristics that facilitate efficient structural piercing. Double-layer targets provide improved ballistic resistance compared with monolithic targets of equivalent total thickness, while increasing the interlayer spacing in spaced configurations has no pronounced effect on further enhancing resistance under the evaluated impact conditions. In addition, a distinct non-linear relationship between target curvature and penetration performance is observed, with penetration capability initially decreasing and subsequently increasing as curvature decreases, eventually approaching a stable state that mirrors the behavior of flat plates. The present study provides critical mechanical insights into fragment penetration of curved thin-shell structures and offers a robust theoretical basis for the structural optimization and design of protective structures in next-generation aerospace applications.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"61 3","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149035270","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":"Transient Wave Vibration Analysis of Spatiotemporal Nonlocal Viscothermoelastic Cylindrical Structure with Double Porosity","authors":"Savita Katoch, Dinesh Kumar Sharma, Vikas Sharma, Nivedita Sharma","doi":"10.1134/S0025654426601345","DOIUrl":"10.1134/S0025654426601345","url":null,"abstract":"<p>Transient wave vibration analysis has been presented for spatiotemporal nonlocal visco-thermoelastic hollow cylinder with double porosity. Harmonic variation technique has been used to convert governing equations into ordinary differential equations. System of equations has been solved using matrix elimination method to evaluate the field functions. Analytical results have been presented for numerical simulations with the help of Gauss elimination technique. Field functions, i.e., displacements, dilatations, porosity functions of first and second kind, stresses and temperature have been presented graphically for different thermoelastic models at fixed distances. The effect of non-locality with fixed distance clearly indicates the behaviour of thermoelastic models, which reveals that in case of thermoelasticity, the variations are larger in contrast to generalized viscothermoelasticity, viscoelasticity, elasticity cases. This study may find applications to forecast the concentration of stresses and improve pipeline technology to design thermal expansion for external pressures and passing of fluid in porous structures.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"61 3","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149035279","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}
Hao Bo, Cui Yuxiang, Lin Yusheng, Du Kuan, Li Zhengyu, Jiang Qi
{"title":"Investigation on Penetration Performance of Projectiles with Different TPMS Structures and Mass Fraction","authors":"Hao Bo, Cui Yuxiang, Lin Yusheng, Du Kuan, Li Zhengyu, Jiang Qi","doi":"10.1134/S0025654426601205","DOIUrl":"10.1134/S0025654426601205","url":null,"abstract":"<p>TPMS structures are widely used in the wings of unmanned aerial vehicles (UAVs) due to their excellent performance. Investigating the penetration performance of projectiles on TPMS structures has become a key focus in impact engineering. This study employs numerical simulation to investigate the penetration performance of projectiles with varying arc-shaped curve equations against Primitive and I-WP structures of identical mass fractions, as well as Primitive structures with different mass fractions. Results indicate that as the arc-shaped curve equation becomes more acute, the bullet velocity decay rate first increases and then decreases. Sharper arc equations result in lower residual velocities and kinetic energies after penetration, with residual velocities ranging from a minimum of 479.552 m/s to a maximum of 485.513 m/s. The maximum residual velocity difference attributable to arc sharpness is 5.961 m/s. Furthermore, when the mass fractions of the target plates are relatively close, different unit cell structures have a minor impact on the bullet’s residual kinetic energy, with the Primitive structure yielding slightly higher residual kinetic energy than the I-WP structure. Under identical unit cell structures, target plates with different mass fractions significantly affect the bullet’s residual kinetic energy, with higher mass fractions resulting in lower residual kinetic energy. The bullet’s arc section curve equation and the TPMS target plate’s mass fraction are the primary factors influencing penetration performance. In contrast, the TPMS target plate’s lattice structure is a secondary factor. This study provides insights for selecting bullets when engaging low-altitude military drones, offering a reference for penetrating drone wing structures.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"61 3","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149034785","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":"Analytical Investigation of Rayleigh-Type Wave Propagation in a Fibre-Reinforced Layer over a Pre-Stressed Orthotropic Half-Space with Flawed Coupling","authors":"Abhilasha, Abhinav Singhal","doi":"10.1134/S0025654425606767","DOIUrl":"10.1134/S0025654425606767","url":null,"abstract":"<p>Propagation of the Rayleigh wave in a Fibre-reinforced medium (FRM) lying over an initially stressed orthotropic half-space is investigated. The effects of interfacial flaw, initial compressive stress, and layer thickness on wave propagation and attenuation are analysed. The governing dispersion relation is derived using appropriate boundary conditions, incorporating mechanical flawed coupling at the interface. The results demonstrate that the combined effects of initial stress, interfacial imperfection, and layer thickness significantly influence Rayleigh-wave propagation. Numerical simulations conducted in MATLAB demonstrate that interfacial imperfection leads to a marked increase in phase velocity. Increasing layer thickness improves energy confinement and elevates attenuation, while compressive pre-stress alters effective stiffness. The present model assumes unidirectional fibre reinforcement. Enhancing the physical understanding of Rayleigh-wave propagation in imperfect fibre-reinforced composites provides theoretical support for crack detection and stress monitoring, thereby advancing applications in non-destructive testing and structural health monitoring systems.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"61 3","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149034937","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}