Mechanics of Solids最新文献

{"title":"Semi-Analytical State-Space Differential Quadrature for Thermal Buckling of FG Plates under 3D Nonuniform Heating","authors":"Yifeng Chen,&nbsp;Jinghua Yu","doi":"10.1134/S0025654426602375","DOIUrl":"10.1134/S0025654426602375","url":null,"abstract":"<p>This study investigates the thermal buckling behavior of Functionally Graded Material (FGM) plates subjected to a general three-dimensional (3D) non-uniform temperature field, which varies both in the plane and through the thickness. Such a complex thermal load scenario is critical for realistic design but poses significant analytical challenges. To address this, an advanced semi-analytical solution framework is developed by synthetically combining the state-space method (SSM) and the differential quadrature method (DQM). The SSM elegantly handles the continuous variation of material properties and temperature along the thickness direction, reducing the 3D problem to a state-space formulation. The DQM then efficiently discretizes the in-plane differential operators and boundary conditions. This coupled SSM-DQM approach accurately transforms the thermo-elastic buckling problem into a standard eigenvalue problem. The proposed method is first validated against existing solutions for degenerate cases. A comprehensive parametric study then reveals the profound influence of the 3D temperature gradient profile, material gradient index, and plate aspect ratio on the critical buckling temperature. Results demonstrate that simplified temperature assumptions can lead to substantial errors, underscoring the necessity of employing a full 3D thermal load model for the safe design of advanced FGM structures in extreme thermal environments.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"61 4","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149098302","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":"Nonlinear Dual-Phase-Lag Thermo-Physiological Model for Predicting Heat Transport and Biological Response During Laser-Induced Hyperthermia","authors":"I. Abbas,&nbsp;M. Khalid,&nbsp;O. H. El-Kalaawy,&nbsp;S. M. Sayed","doi":"10.1134/S0025654426600777","DOIUrl":"10.1134/S0025654426600777","url":null,"abstract":"<p>The focus of this study is the development of a nonlinear dual-phase lag (DPL) comprehensive bioheat transfer model, which attempts to capture the behavior of biological tissues under laser irradiation. The model treats thermal conductivity (the tissue’s ability to conduct heat) and volumetric blood flow as functions of temperature. The model also considers laser irradiation as internal heating, which gives rise to a set of coupled thermal relations. By integrating temperature-dependent thermal conductivity and blood perfusion within a dual-phase-lag framework, the model achieves more accurate and realistic predictions of thermal behavior than conventional linear approaches. An implicit finite difference approach with Newton-Raphson is utilized, which is expected to achieve fast convergence and stability. The temperature dependence of thermal conductivity was implemented, and this influences the redistribution of heat as well as the maximum temperature. The results indicate that nonlinear factors (α, β) and blood perfusion are essential in regulating heat distribution and tissue damage progression, while relaxation durations (τ_<i>q</i>, τ_<i>T</i>) considerably influence thermal wave dynamics. Compared to the linear model, the difference is much more pronounced. The results replicate a multitude of published experimental observations and show the adaptability of the model under a variety of numerical approaches. Therefore, the model provides a strong theoretical basis for future work involving the accuracy and potential risks involved with laser-assisted thermal therapies.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"61 4","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149098301","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":"Thermoacoustic Wave Propagation in Saturated Poroelastic Media with Hydrodynamic Effects","authors":"Areej Almoneefa,&nbsp;Munirah Alotaibi,&nbsp;Shreen El-Sapa,&nbsp;Khaled Lotfy,&nbsp;Alaa A. El-Bary","doi":"10.1134/S0025654426600108","DOIUrl":"10.1134/S0025654426600108","url":null,"abstract":"<p>This work presents a novel theoretical model for thermoacoustic wave propagation in saturated poroelastic media, incorporating hydrodynamic and thermal relaxation effects. The model integrates generalized thermoelasticity with Biot’s poroelastic theory to describe the coupled interactions among solid deformation, pore fluid pressure, temperature variation, and acoustic pressure generation. A system of coupled partial differential equations is formulated, including the equations of motion for the solid matrix, Darcy’s law for fluid flow, a generalized heat conduction equation with thermal relaxation time, and an acoustic pressure wave equation driven by thermal, mechanical, and pore pressure sources. The normal mode analysis method is applied to derive analytical expressions for the wave fields in a one-dimensional configuration. Numerical simulations are conducted to investigate the effects of porosity, permeability, thermal relaxation time, and hydrodynamic coupling on the thermoacoustic response. The results reveal that both thermal relaxation and fluid flow have a significant influence on wave speed, amplitude attenuation, and acoustic signal delay, providing enhanced physical insights into wave behavior in fluid-saturated porous materials. This study presents a comprehensive framework that can benefit applications in biomedical imaging, subsurface exploration, and the characterization of porous materials.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"61 4","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149098364","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":"Multiple-Mode Coupled Waves Propagation In a Dual-Porosity Thermoelastic Mindlin Plate","authors":"Kexing Wu,&nbsp;Yueqiu Li,&nbsp;Chuanping Zhou","doi":"10.1134/S0025654426602338","DOIUrl":"10.1134/S0025654426602338","url":null,"abstract":"<p>A unified mathematical model for a dual-porosity thermoelastic Mindlin plate is established in this paper to study the dispersion and attenuation characteristics of various coupled waves due to the multiple physical field coupling effects. Based on Mindlin’s first-order shear deformation theory, the dual-porosity medium theory and the governing equations of the multiple physics fields coupling system, the dispersion and attenuation characteristic equations of coupled waves are derived. There are total six of wave modes found, which includes three kinds of inherent bending waves, two kinds of pore-coupled waves, and one kind of thermally coupled waves. Through parametric study, the influence law of the pore-related parameters, the equilibrium inertia related coefficients and the thermal conduction parameters on the dispersion, attenuation and the cut-off frequency are revealed. This study clarifies not only the form mechanisms but also the dispersion and attenuation characteristics of these coupled waves, which provides a theoretical basis for the design and optimization of multifunctional porous plate structures in the fields of vibration control, wave energy management, and high-performance sensing and activating.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"61 4","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149098385","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":"Size-Dependent Buckling and Data-Driven Optimization of Porous Laminated Nanoplates Using Nonlocal Higher-Order Shear Deformation Theory","authors":"A. Agrawal,&nbsp;R. P. Mahapatra","doi":"10.1134/S0025654426602442","DOIUrl":"10.1134/S0025654426602442","url":null,"abstract":"<p>This study investigates the critical buckling behavior of porous laminated nanoplates resting on an elastic foundation using a nonlocal Higher-Order Shear Deformation Theory (HSDT). Size-dependent effects have been incorporated via nonlocal elasticity, and the governing equations are solved using the finite element method (FEM). The model is validated against benchmark results, showing excellent agreement. To improve computational efficiency, surrogate models—Artificial Neural Network (ANN), Random Forest (RF), and Gradient Boosting (GB)—are trained on FEM-generated data. The RF model exhibits superior predictive performance with higher <i>R</i>² and lower RMSE and is subsequently employed for parametric analysis and optimization. Parametric investigations reveal that the nonlocal parameter significantly reduces the critical buckling load (CBL) due to stiffness softening, whereas the elastic foundation (Winkler and Pasternak) enhances structural stability. The effects of material gradation, porosity, and geometric ratios are also quantified. Optimization using Particle Swarm Optimization (PSO) and Genetic Algorithm (GA) yields a maximum CBL of 255.5834 at <span>({{E}_{1}}{text{/}}{{E}_{2}} = 40)</span>, <span>(a{text{/}}h = 20)</span>, <span>(mu = 0.5)</span>, <span>(phi = 0.3)</span>, <span>({{k}_{w}} = 100)</span>, and <span>({{k}_{s}} = 100)</span>. The developed framework enables rapid and accurate buckling prediction while providing an effective strategy for optimizing the structural performance of porous laminated nanoplates in advanced engineering applications.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"61 4","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149098362","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 Scattering of SH Waves Caused by a Piezomagnetic Circular Inclusion Embedded in a Piezoelectric Right-Angle Plane with Irregular Boundaries","authors":"Wei Zhu,&nbsp;Lilong Xiong,&nbsp;Chuigui Guo,&nbsp;Gang Shi,&nbsp;Ximeng Zhang","doi":"10.1134/S0025654426602387","DOIUrl":"10.1134/S0025654426602387","url":null,"abstract":"<p>This study investigates a piezoelectric right-cornered domain featuring a circular piezomagnetic inclusion and non-uniform boundaries using Green’s function approach. External excitations are applied to the structure via SH waves and line-source-type loads. The analysis begins by decomposing the model into three distinct regions via the virtual region method. Subsequently, line-source-type loads are imposed on the non-uniform boundaries, and the resulting dynamic behavior is examined through the mirror method combined with Graf’s theorem on addition. The findings reveal how various parameters affect the dynamic stress concentration factor under specific conditions. The analysis yielded are further validated against finite element predictions to confirm the reliability of the summary drawn in the current work.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"61 4","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149098235","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 the Mechanism of Joint Inclination Angle Affecting Static Fragmentation Characteristics of Sandstone","authors":"Zefan Wang,&nbsp;Yanjie Feng,&nbsp;Chengzhi Qi,&nbsp;Tao Wei,&nbsp;Shaoming Ouyang","doi":"10.1134/S0025654426602247","DOIUrl":"10.1134/S0025654426602247","url":null,"abstract":"<p>The static fragmentation of naturally anisotropic rocks is poorly understood despite extensive research on dynamic fragmentation. This study systematically investigates the static fragmentation behavior of jointed sandstone under uniaxial and triaxial compression, focusing on joint inclination angles from 0° to 90°. The results reveal a U-shaped relationship between joint inclination angle and compressive strength, with both the minimum compressive strength and axial strain occurring at a joint inclination angle of 60°. The elastic modulus exhibits a nonmonotonic variation, reaching its maximum within the range of 65°–75° because of the interaction between the weak planes and the loading direction. Three distinct failure-mode transitions are identified: (1) axial splitting predominates at low inclination angles (0°–30°); (2) shear failure dominates at intermediate inclination angles (45°–60°); (3) axial splitting becomes dominant again at 90°. In addition, the fragment size distribution curves and average fragment sizes are determined, and the relationship between joint inclination angle and average fragment size is established. When the joint inclination angle is not greater than 45°, the specimens undergo severe failure and exhibit a relatively high degree of fragmentation. Fractal analysis demonstrates that the fragment size distributions of these sufficiently fragmented specimens follow a fractal law. These findings provide a useful basis for predicting rock fragmentation in tunneling and mining operations.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"61 4","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149098298","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":"Multi-Scale Computational Framework for Smart Biomedical Implants: Thermo-Mechanical Analysis of TPMS-Based Nitinol Cranial Implants and Grain Boundary Fracture Modelling via Strain Gradient Plasticity and Cohesive Zone Methods","authors":"Altaf Ahmad Lone,&nbsp;RT Durai Prabhakaran","doi":"10.1134/S0025654426602399","DOIUrl":"10.1134/S0025654426602399","url":null,"abstract":"<p>The development of next-generation biomedical implants requires a rigorous understanding of material behavior across multiple length scales, from macroscale structural performance to microscale fracture physics, which govern long-term integrity. This study presents a unified multiscale computational framework that addresses both the dimensions of cranial implant applications. At the macroscale, triply periodic minimal surface (TPMS) lattice structures fabricated from Nitinol (Ni-Ti) shape memory alloy (SMA) were introduced as a meta-biomaterial architecture and numerically benchmarked against polyether ether ketone (PEEK) and Ti-6Al-4V. A fully coupled thermomechanical constitutive model based on the Zaki–Moumni formulation was implemented using FORTRAN UMAT/VUMAT subroutines interfaced with ABAQUS. At the microscale, an automated Python-based technique is presented for inserting cohesive zone elements across complex three-dimensional polycrystalline, bamboo, and columnar grain boundary topologies generated using NEPER. The bulk grain behavior is governed by a lower-order strain gradient plasticity (SGP) model that intrinsically captures the length-scale-dependent plasticity and dislocation accumulation near grain boundaries. The results were validated against experimental data and established benchmark formulations with good agreement. The macroscale results demonstrate that the TPMS-structured Nitinol achieves a Young’s modulus of approximately 5 GPa, closely matching that of the trabecular bone, while eliminating stress localization and exhibiting superior thermomechanical adaptability. At the microscale, grain boundaries are identified as the primary sites of stress concentration, and finer-grained microstructures exhibit enhanced fracture resistance. This framework provides a comprehensive numerical toolset spanning implant geometry design to grain-scale fracture, aimed at accelerating the development of mechanically optimized, smart implants.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"61 4","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149098303","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":"Reflection Analysis of an SV Wave from a Free Surface in a Rotating, Initially Stressed Magneto-Elastic Medium with Voids under a Gravity Field","authors":"S. M. Abo-Dahab,&nbsp;S. H. Elhag,&nbsp;Samia M. Said,&nbsp;Sarhan Y. Atwa","doi":"10.1134/S0025654426601163","DOIUrl":"10.1134/S0025654426601163","url":null,"abstract":"<p>This work considers the implications of gravity, voids, initial tension, and magnetic field‑dependent the interaction and reflection regarding an SV-wave striking a free interface. An SV-wave and two damped P-waves are reflected during its interaction with the free surface the medium is modeled as elastically semi-infinite, under the given configuration of condition accounting incorporating initial stress and A uniform magnetic field. collectively modify the propagation dynamics of SV-waves. We developed a comprehensive theoretical framework that accounts for voids within the medium, as well as external influences from rotation, gravity, and initial tension. These results hold potential significance for advancing seismic wave studies. Furthermore, for a zero-order viscoelastic or the case where voids and rotation are omitted from the model, the outcomes align closely with established data for fibre-reinforced composites. Furthermore, by disregarding the non-homogeneity and strengthened elastic properties, the findings reduce to the well-known isotropic and homogeneous medium. It has been noted that the surface waves are unable to travel through a rapidly spinning medium or in a strong initial magnetic field. For specific materials, numerical simulations are provided together with graphical illustrations.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"61 4","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149098363","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 on the Penetration Performance of Different Fragments against Two Typical Lattice Structures","authors":"Cui Yuxiang,&nbsp;Hao Bo,&nbsp;Li Zhengyu,&nbsp;Jiang Qi","doi":"10.1134/S0025654426602296","DOIUrl":"10.1134/S0025654426602296","url":null,"abstract":"<p>Due to their excellent performance and high energy absorption capabilities, lattice structures are widely used in aerospace structures such as unmanned aerial vehicles (UAVs). To effectively combat UAV swarms, investigating the penetration performance of different fragments into lattice structures has become a crucial defense topic. In this study, combining finite element numerical simulations with ballistic gun experiments, we systematically investigated the penetration performance of three types of fragments with equal mass (1.1 ± 0.03 g) and distinct geometric features (square, cylindrical, and spherical projectiles) against two typical Triply Periodic Minimal Surface (TPMS) lattice structures: Gyroid and Diamond. The research focused on analyzing the variation trends of the residual velocity and residual kinetic energy of the projectiles under different initial velocities (500, 600, and 700 m/s) and various penetration angles (0° to 45°). The results indicate that under high-speed penetration conditions, the differences in fragment shape and target cell structure have a minor impact on the final residual velocity and residual kinetic energy. However, the penetration angle has a significant nonlinear effect on the damage efficiency of the target plate. As the penetration angle increases, the penetration depth of the fragments gradually increases, leading to a significantly accelerated decreasing rate in both residual velocity and residual kinetic energy. Furthermore, spherical fragments primarily cause local fragmentation and deformation during penetration, while cylindrical and square fragments tend to form truncated cone-shaped plugs. This study provides valuable insights into the selection of fragments for striking low-altitude military UAVs and offers a practical reference for the effective penetration of UAV wing structures.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"61 4","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149098294","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}