Mechanics of Solids最新文献

{"title":"Nonlocal and Size-Dependent Thermomechanical Deformation in Double Porous Modified Couple Stress Media with Hyperbolic Two-Temperature and Refined Dual Phase Lag Effects","authors":"Saurav Sharma,&nbsp;Rajneesh Kumar,&nbsp;Hamdy M. Ahmed,&nbsp;Mohamed F. Ismail","doi":"10.1134/S0025654426600911","DOIUrl":"10.1134/S0025654426600911","url":null,"abstract":"<p>A unified thermoelastic model is proposed to study the nonlocal and size-dependent thermomechanical response of a double-porous medium within the framework of modified couple stress theory, hyperbolic two-temperature heat conduction, and refined dual phase lag (RDPL) theory.The governing equations are solved analytically using the normal mode technique to obtain closed-form expressions for displacement, temperature, stress, and couple-stress fields in a half-space subjected to time-dependent mechanical and thermal sources.Numerical results indicate that the RDPL model produces smoother and more stable responses compared to the dual phase lag (DPL) and Lord–Shulman (L–S) models. It is observed that nonlocal and size-dependent effects reduce stress magnitudes and suppress oscillatory behavior, particularly near the boundary. Furthermore, the model captures non-Fourier thermal behavior, while classical formulations exhibit stronger damping effects. The novelty of the present formulation lies in the simultaneous consideration of size-dependent elasticity, multiporosity interactions, and higher-order phase lag heat conduction within a unified framework, which are typically treated separately in the literature. The results emphasize the importance of incorporating size-dependent and multiporosity effects in thermoelastic analysis relevant to advanced engineering 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":"149034935","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":"Hygrothermoelastic Interactions In Hollow Spherical Composite Shells With Memory-Dependent Effects And Nonlocal Elasticity","authors":"Varsha Mendhe,&nbsp;Navneet Kumar Lamba","doi":"10.1134/S0025654426600315","DOIUrl":"10.1134/S0025654426600315","url":null,"abstract":"<p>This study presents a comprehensive analysis of the transient hygrothermoelastic response of a two-layer hollow spherical composite structure subjected to arbitrary time-dependent thermal and moisture loadings. Each layer is assumed to be homogeneous and isotropic with temperature-independent material properties, while imperfect thermal contact at the interface is modeled through finite interfacial conductance. Volume, surface, and interfacial source terms are incorporated as integrable functions of time, together with spatially uniform initial excitations. Initial excitations (temperature and moisture) are assumed to be spatially uniform. Surfaces are traction-free, with prescribed time-dependent thermal and moisture inputs at the outer radius. To capture delayed thermal and moisture transport phenomena, the governing equations are formulated within a single-phase-lag framework using memory-dependent fractional-order derivatives. The resulting coupled system is expressed in a dimensionless form to enhance generality and enable systematic parametric investigation. By applying the Laplace transform technique, semi-analytical solutions are obtained through eigenfunction expansions and numerical inversion of the transformed expressions, while boundary and interfacial continuity conditions are rigorously enforced. Closed-form expressions for temperature, moisture concentration, radial displacement, and stress components are derived for both layers of the composite sphere. The numerical results reveal that memory effects significantly retard diffusion processes and alter stress evolution, while hygrothermal coupling and interfacial imperfection markedly influence displacement and stress distributions, particularly near the interface. The proposed framework extends classical hygrothermoelastic models by integrating fractional calculus, memory-dependent behavior, Nonlocal elasticity is incorporated following Eringen’s framework, where stress depends on strain contributions from the surrounding domain and interfacial effects, providing valuable insights for the design and optimization of layered composite structures and smart materials operating under complex hygrothermal environments.</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":"149035012","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":"Computational Analysis of Thermo-Mechanical Mechanism Inside a Biological Tissue Caused by Ramp Type and Dynamic Thermal Loadings in the Framework of Two Temperature Thermal Conductivity Model","authors":"Rakhi Tiwari,&nbsp;Om Namha Shivay","doi":"10.1134/S0025654426601175","DOIUrl":"10.1134/S0025654426601175","url":null,"abstract":"<p>Current investigation is aimed of empowering the thermal treatment of the living tissue by analyzing the dynamics of a living tissue exposed to ramp type heat at its outer surface and moving thermal load with constant velocity at inner surface. Mathematical model is established on the basis of a recently developed exact two temperature heat transfer theory including single relaxation time quantity proposed by Quintanilla. Exact Solutions are determined in the transformed domain. Computational results are acquired by inverting the transform domain into physical domain. Significances of the important parameters such as two temperature quantity, time parameter, velocity of dynamic load and ramp type parameter are visualized through the graphical outcomes. Specific characteristics of the results under Quintanilla model are highlighted by comparing the results obtained for Green and Naghdi – III model of heat transport.</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":"149035266","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":"Investigation of Free Vibrations of a Hollow Cylinder under Different Boundary Conditions Using the Method of Potentials","authors":"Betül Uysal,&nbsp;Hüseyin Yıldız,&nbsp;Erol Uzal,&nbsp;Birkan Durak,&nbsp;Ali Serdar Gültek,&nbsp;Mana Sezdi,&nbsp;Serdar Yılmaz,&nbsp;Sule Kapkin","doi":"10.1134/S002565442560641X","DOIUrl":"10.1134/S002565442560641X","url":null,"abstract":"<p>Cylindrical structural elements are widely used in aerospace and civil engineering applications due to their high structural efficiency. In this study, the free vibration behavior of thick-walled, homogeneous, and isotropic hollow cylinders is analytically investigated using the displacement potentials of the Navier–Lamé equations. Four different boundary-condition models free–free, fixed–free, fixed–fixed and free–fixed are systematically compared. The variation of dimensionless frequencies with respect to the wave number is calculated, and the frequency curves, radial displacement distributions, and variations of stress components along the cylinder thickness are presented graphically. The results show that boundary conditions have a significant influence on the dynamic behavior of the cylinder. While the natural frequencies take higher values in constrained models, lower frequencies are observed in models with free boundary conditions. Furthermore, as the wave number increases, the frequency curves corresponding to different boundary conditions converge. It is also shown that the displacement amplitudes and stress distributions depend strongly on the boundary conditions. The obtained analytical results provide a reliable reference for validating numerical models of hollow cylindrical structures and contribute to the analytical investigation of cylindrical pipes and multilayer pipe systems with similar geometries.</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":"149035265","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":"Interfacial Friction and Ballistic Impact Response of Shear Thickening Gel/Aramid Composites: Effect of Hydroxyl Silicone Oil Viscosity","authors":"Zheng Kuang,&nbsp;Huichao Xie,&nbsp;Taiwei Chen,&nbsp;Chengwang Guo,&nbsp;Zhihua Cai","doi":"10.1134/S0025654426601394","DOIUrl":"10.1134/S0025654426601394","url":null,"abstract":"<p>To investigate the effect of base-oil viscosity on the ballistic protective performance of shear thickening gel (STG)/aramid composites, STGs were prepared from hydroxyl silicone oils with viscosities of 30 and 500 cSt, and the resulting gels were introduced into aramid fabrics by impregnation. Yarn pull-out tests and steel-sphere ballistic impact tests were conducted to evaluate the effects of STG viscosity on interfacial friction behavior and impact response. The results showed that STG treatment markedly increased the yarn pull-out resistance of the aramid fabric. The peak pull-out forces of the STG-500cSt and STG-30cSt composites reached 26.5 and 31.0 N, respectively, corresponding to 6.2 and 7.4 times that of neat aramid. In ballistic tests, the 8-layer neat aramid panel was completely penetrated, whereas both STG-treated panels successfully blocked the projectile. The STG-500cSt specimen exhibited a smaller back-face deformation (2.97 cm), indicating better deformation suppression, while the STG-30cSt specimen showed superior penetration resistance. Under the 7-layer condition, the STG-500cSt specimen was penetrated, whereas the STG-30cSt specimen still completely blocked the projectile. Microscopic observations indicated that the lower-viscosity STG was distributed more uniformly within the aramid fabric, thereby enhancing inter-fiber constraint and load transfer. These results indicate that base-oil viscosity significantly affects the impact response of STG/aramid composites by regulating STG distribution and interfacial friction.</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":"149035267","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":"Analysis of the Behavior of Liquid Crystal Elastomer Fibers under Thermal Excitation","authors":"X. Liang,&nbsp;Y. Wang,&nbsp;H. Sun","doi":"10.1134/S0025654426600571","DOIUrl":"10.1134/S0025654426600571","url":null,"abstract":"<p>Liquid crystal elastomer (LCE) self-oscillation systems can directly convert environmental energy into mechanical work, yet most studies have focused on steady environments. To investigate the dynamic behavior of an LCE fiber system under varying conditions, we construct a system consisting of an LCE fiber suspending an infrared heat source with mass. A fully coupled thermo-mechanical model is developed, from which the governing equations are derived and numerically solved using the fourth-order Runge–Kutta method. The results demonstrate that the system undergoes a supercritical Hopf bifurcation under thermal excitation, leading to a transition from a static state to a self-oscillatory mode. This self-oscillation is sustained by a dynamic competition between thermally driven strain and dissipative damping. Three core innovations are highlighted. First, a self-induced phase delay naturally emerges from the distance-dependent heat flux in the non-uniform temperature field, providing the necessary phase lag for sustained periodic motion. Second, the system exploits residual heat to achieve self-oscillation without external periodic forcing. Third, the quantitative influence of nonlinear damping on the Hopf bifurcation threshold and limit-cycle morphology is systematically analyzed. Moreover, both the amplitude and frequency of the oscillation can be effectively controlled by appropriately tuning system parameters.</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":"149035278","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":"Simulation Study of Shell Grooving Transverse Effect Bullet Intrusion into Reinforced Concrete","authors":"Jinjian Yu,&nbsp;Ning Du,&nbsp;Shichao Ren,&nbsp;Ziqi Zhao,&nbsp;Mingran Pan,&nbsp;Qiuping Guo","doi":"10.1134/S0025654426601230","DOIUrl":"10.1134/S0025654426601230","url":null,"abstract":"<p>In order to study the effect of PELE shell groove parameters on reinforced concrete penetration and the role of PELE shell and tail on steel reinforcement under different impact points, based on a typical tail stabilization PELE structure as the object of study, the PELE vertical penetration of reinforced concrete simulation model was established, and the penetration performance of PELE penetration of reinforced concrete with different groove parameters was discussed under the initial velocity of 850 m/s, and the PELE optimized groove structure was obtained by regularity analysis from four aspects, namely, the number of grooves, the depth of grooves, the location and depth of grooves, and different impact points: 8 grooves, a depth of 12.5 mm, a length of 120 mm, and a uniform distribution of grooves along the circumferential direction of the shell. The damage aperture of this structure for reinforced concrete targets is 512 mm, which is 30.9% higher than that of the non-grooved structure.</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":"149034494","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 Elliptical Hole’s Inclination Angle on Fatigue Crack Growth Behavior of Titanium Alloy","authors":"Tao Sun,&nbsp;Jian Li,&nbsp;Zong-Qing Wang,&nbsp;Han Deng,&nbsp;Jun Xia,&nbsp;Zhi-Qiang Wang,&nbsp;Feng-Yi Li","doi":"10.1134/S0025654425606718","DOIUrl":"10.1134/S0025654425606718","url":null,"abstract":"<p>In this paper, the fatigue crack growth behavior of compact tensile (CT) specimens fabricated from TC4ELI alloy is examined with elliptical holes of different inclination angles (α = 0°, 30°, 60°, 90°). The study includes growth life (<i>N</i>), path, and growth rate (d<i>a</i>/d<i>N</i>). These analyses employ the extended finite element method (XFEM) considering different prefabricated crack lengths. Additionally, the conventional finite element method (CFEM) is used to analyze the stress intensity factor amplitude (Δ<i>K</i>). An elastoplastic analysis is conducted to calculate the changes in the plastic zone, the stress distribution near the crack tip, and the plastic strain energy of the specimen. The findings suggest that the hole can hinder crack growth and cause growth path to deflect. Elliptical hole can reduce the degree of Δ<i>K</i>_v and Δ<i>K</i>_I of the crack to a certain extent, while increasing Δ<i>K</i>_II. This behavior contributes to a decrease in d<i>a</i>/d<i>N</i> and an increase in <i>N</i>. As the inclination angle increases, its hindering influence on the crack growth diminishes, leading to a weakening of influence on the crack growth. The tendency for the plastic zone and the stress near the crack tip to increase with crack growth is also suppressed. Plastic strain energy also increases as the inclination angle increases. Additionally, an increase in prefabricated crack length weakens the hindering influence of the hole. However, the relationship between the hindering influence and the inclination angle remains unchanged. Finally, the analysis results for growth path and d<i>a</i>/d<i>N</i> are verified through experimental methods.</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":"149034579","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":"A Simplified and Efficient Open-Source Framework for Dual Cover System Generation in Numerical Manifold Method","authors":"Y. L. Zou,&nbsp;D.W. Yang,&nbsp;J. Liu,&nbsp;K. Q. Zhang,&nbsp;W. Wu,&nbsp;W. Xu","doi":"10.1134/S0025654426601199","DOIUrl":"10.1134/S0025654426601199","url":null,"abstract":"<p>This paper presents a simplified and efficient open-source framework to address the inefficiency in generating dual cover systems and the complexity of geometric computations in the Numerical Manifold Method (NMM). First, a discrete point detection technique rapidly identifies elements intersected by cracks. Subsequently, geometric partitioning is performed exclusively on these intersected elements to generate manifold elements (ME). Enhanced connected component analysis is then applied to internal points of MEs and boundary points of mathematical covers, enabling dynamic allocation of star node degrees of freedom. This approach eliminates the need for complex Boolean operations on physical covers in traditional workflows. Numerical examples validate the method’s accuracy in solving problems involving intricate cracks and voids. The framework, implemented in Python, provides an open-source tool for NMM 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":"149034867","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":"Attenuation of Elastic Waves by Wave Impeding Barrier in Saturated Soils under Nonlocal Elasticity Theory","authors":"Jinbo Chen,&nbsp;Bin Hou,&nbsp;Yuqiang Gao,&nbsp;Bin Liu,&nbsp;Feng Liu","doi":"10.1134/S0025654426600583","DOIUrl":"10.1134/S0025654426600583","url":null,"abstract":"<p>This study investigates elastic wave propagation and attenuation in a saturated porous ground incorporating a wave-impeding barrier within the framework of nonlocal elasticity theory. A nonlocal wave-propagation model for the barrier-saturated porous medium system is established, and transmission amplitude ratios are employed to characterize the reflection, transmission, and mode conversion behaviors of fast compressional (P₁), slow compressional (P₂), and shear (S) waves at the interfaces. The proposed formulation is validated through comparison with available results in the literature. A systematic parametric investigation is then conducted to examine the effects of the nonlocal parameter, barrier thickness, incident angle, and barrier material properties (elastic modulus and density) on elastic-wave transmission and attenuation. The results indicate that nonlocal effects are negligible at low frequencies but become increasingly pronounced at medium-to-high frequencies, leading to significant modifications of peak-valley transmission patterns and even simultaneous suppression of multiple wave modes at specific nonlocal parameter values. The barrier thickness exhibits a strong tuning effect on compressional-wave transmission, producing quasi-periodic peak-valley structures, while the incident angle markedly influences energy partition and mode-conversion efficiency. Moreover, tuning the barrier density alters the dynamic impedance mismatch and further affects compressional-wave attenuation. The findings demonstrate that effective attenuation of elastic waves in saturated porous grounds can be achieved through coordinated tuning of the barrier nonlocal parameter, geometric configuration, and material impedance, providing theoretical guidance for the design and optimization of wave-impeding barriers for vibration mitigation.</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":"148856700","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}