Mechanics of Solids最新文献

{"title":"Dynamic Response and Chaos Intensity Analysis of Planar Slider–Crank Mechanism with Multiple Clearance Joints","authors":"H. Li,&nbsp;W. Y. Li,&nbsp;H. F. Xu","doi":"10.1134/S0025654425607542","DOIUrl":"10.1134/S0025654425607542","url":null,"abstract":"<p>Mechanism chaos, a genuine nonlinear dynamic phenomenon arises from a mechanism with nonlinear characteristics, whose chaotic behavior can directly affect the performance of machinery. For general mechanisms, it will cause undesired impact and vibration, furthermore, reducing the life span of the machine, and then it should be suppressed or controlled. For some special applications, however, it is beneficial to improve the performance of the mechanism, and then it should be excited or enhanced. In addition, there is a coupling of multiple nonlinear factors existing in the mechanism. In all these circumstances, it is necessary to establish a method to judge the mechanism chaos intensity (MJCI). However, there has been no widely accepted and effective MJCI. To satisfy the need, uniformity is used to evaluate the MJCI. To verify the correctness of this method, the Duffing chaotic oscillator is utilized as a test case. Finally, the MJCI is used to analyze the chaos intensity of a planar slider–crank mechanism with a single or two revolute clearance joints, the results demonstrate that with the change of clearance sizes or driving speeds, the chaos intensity can be suppressed or excited, and the practicability of MJCI in mechanism is proved.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"61 3","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149035285","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 Dynamic Response and Failure Modes of Xiyu Conglomerate Slopes under Seismic Loading","authors":"Chong Shi,&nbsp;Zhe Sun,&nbsp;Yufei Zhao,&nbsp;Long Jiang,&nbsp;Qiang Zhang,&nbsp;Liang Liu","doi":"10.1134/S002565442660193X","DOIUrl":"10.1134/S002565442660193X","url":null,"abstract":"<p>The Xiyu conglomerate in Xinjiang, China, is a crucial focus in geotechnical engineering regarding seismic stress propagation and slope failure modes. This study establishes a PFC2D numerical model of a Xiyu conglomerate slope to investigate how source direction, rock cementation, and seismic wave amplitude affect slope stability. By analyzing vibration parameters—velocity, acceleration, and principal stress—and crack propagation, results show that incident seismic waves universally amplify the slope’s response, though effects vary significantly by direction. Back-slope incidence causes drastic peak acceleration variations, leading to rock spalling and shallow wedge failure. Conversely, face-slope incidence predominantly induces widespread transverse tensile cracks, triggering shear failure in weak zones. Furthermore, increased argillaceous cementation weakens the slope’s confinement capacity, exacerbating deformation. Finally, increasing seismic amplitude causes slope velocity and acceleration to exhibit a nonlinear trend of diminishing marginal increments. These findings offer theoretical references for the dynamic stability analysis and reinforcement design of Xiyu conglomerate slopes.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"61 3","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149035100","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":"Extended Isogeometric analysis of Fatigue Crack Growth in Engineering Components","authors":"Vibhushit Gupta,&nbsp;Shubham Kumar Verma,&nbsp;Azher Jameel,&nbsp;Yatheshth Anand","doi":"10.1134/S0025654426600467","DOIUrl":"10.1134/S0025654426600467","url":null,"abstract":"<p>Modelling fatigue crack growth in engineering structures with geometric and material discontinuities remains a challenging problem in computational mechanics. Such discontinuities significantly influence local stress fields and fatigue crack propagation behaviour, thereby affecting the structural durability and service life of components subjected to cyclic loading. This study employs Extended Isogeometric Analysis (XIGA) combined with Non-Uniform Rational B-Splines (NURBS) to analyse the fatigue crack growth in components with complex discontinuities. By integrating the geometric exactness and higher-order continuity of NURBS with enrichment strategies derived from the extended finite element method, the proposed approach enables precise representation of cracks and interfaces without remeshing during crack propagation. A level set formulation is adopted to efficiently incorporate both strong and weak discontinuities into the XIGA framework, facilitating robust modelling of evolving crack paths. A key contribution of this work is the systematic examination of fatigue crack growth in engineering components with discontinuities of varying shapes, like circular, rectangular, hexagonal and elliptical interfaces, an aspect that has received limited attention in existing XIGA-based fatigue studies. The numerical framework is initially validated using a benchmark problem, where the predicted stress intensity factors and fatigue life show strong agreement with published results. Subsequently, the effects of discontinuity geometry, location, and bi-material interface strength on stress intensity factors, critical crack length, and fatigue life are examined under cyclic loading conditions. The results demonstrate that stronger interfaces significantly enhance fatigue life and increase the critical crack length, whereas weaker interfaces accelerate crack growth and reduce structural durability. Additionally, discontinuities located closer to the crack path are found to markedly increase crack propagation rates. The findings confirm that NURBS-based XIGA provides an effective and robust numerical framework for analysing fatigue crack growth in engineering components.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"61 3","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149035280","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 Rayleigh and Love Waves in Layered Piezoelectric Quasicrystal Half-Spaces with Imperfect Interfacial Bonding","authors":"Seema,&nbsp;Mamta Gautam,&nbsp;Shweta Sharma,&nbsp;Arvind Kumar Sharma,&nbsp;Abhinav Singhal,&nbsp;Anjali Chaudhary","doi":"10.1134/S0025654425607578","DOIUrl":"10.1134/S0025654425607578","url":null,"abstract":"<p>This study presents a generalized mathematical framework for investigating Rayleigh and Love wave propagation in one-dimensional layered piezoelectric quasicrystal (PQC) half-spaces with imperfect interfaces. A hybrid Legendre-Laguerre polynomial approach is employed to solve the governing equations, providing an accurate and stable representation of the coupled phonon-phason-electromechanical system. The formulation is developed in a fully dimensionless form, allowing the analysis to remain independent of specific material datasets and applicable to a wide range of layered media. The influence of mechanical and electrical interface imperfections on wave dispersion and electromechanical behavior is systematically examined. The results show that phonon-related interface compliance generally reduces effective stiffness and weakens electromechanical coupling, particularly in the low and intermediate dispersion regimes. In contrast, electrical interface effects can either enhance or redistribute the electromechanical contribution, depending on the wave type and modal characteristics. The phason modes exhibit weaker sensitivity but display distinct trends due to their coupling with the electric field. For Love waves, tangential phonon interface parameters are found to play a dominant role, whereas electrical interface effects produce contrasting responses in phonon and phason modes. Overall, the results highlight the critical influence of interface conditions on dispersion behavior and multi-field coupling. The proposed framework provides a useful theoretical basis for the analysis and design of advanced PQC-based surface acoustic wave devices and layered functional materials.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"61 3","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149035298","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 Effects of Welding Residual Stresses on the Crack Initiation Behavior of Low-Temperature Pipes with Girth Welds in LNG Carriers","authors":"Qiankun Zhao,&nbsp;Meng Xi,&nbsp;Yunfeng Huang,&nbsp;Wei Dai","doi":"10.1134/S002565442660162X","DOIUrl":"10.1134/S002565442660162X","url":null,"abstract":"<p>Crack initiation in low-temperature pipes with girth welds presents a serious safety risk to cryogenic systems in LNG (liquefied natural gas, LNG) carriers. However, the effects of  WRS (welding residual stresses, WRS) on the crack initiation behavior of the girth-welded pipe with the crack remain unclear. In this paper, the WRS distribution of the 304L stainless steel pipe using two-layer and two-pass welding procedures was first simulated. Subsequently, the WRS redistribution after inserting the crack into the girth weld and crack propagation in the WRS field under tensile load were simulated using the GTN (Gurson-Tvergaard-Needleman, GTN) model and sub-model technology. Considering the conditions of different crack insertion positions and crack sizes, the effects of  WRS on strain concentration and borne load of the pipe at crack initiation were investigated. The results indicated that once the crack initiation occurs in the girth weld, the crack propagates rapidly until the pipe fractures under tensile load. The effect degree of  WRS on crack initiation is positively related to the redistributed axial stress at the crack tip after crack insertion. The WRS exacerbate strain concentration and reduce the borne load of the pipe at crack initiation for the inner surface cracks, while the WRS have an inhibitory role in crack initiation for the outer surface cracks.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"61 3","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149035090","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":"Response of Distributed Sources in Photothermoelastic Moisture Plate","authors":"Rajneesh Kumar,&nbsp;Nidhi Sharma,&nbsp;Vineeta Rani,&nbsp;Saurav Sharma","doi":"10.1134/S0025654426600522","DOIUrl":"10.1134/S0025654426600522","url":null,"abstract":"<p>This study investigates the thermomechanical response of an isotropic photothermoelastic moisture (IPTM) plate subjected to distributed normal force and thermal loading. The coupled governing equations for displacement, stress, temperature, carrier density, and moisture distribution are formulated in two dimensions, expressed in dimensionless form, and solved using potential functions together with Laplace and Fourier transforms. The transformed solutions are numerically inverted for isotropic silicon to examine the influence of moisture on the resulting field variables. Numerical results reveal that moisture strongly influences the near-field response by increasing normal stress, modifying thermal attenuation, and reshaping carrier-density distribution. These effects gradually diminish away from the loading region. The model offers a theoretical basis for analysing hygro-photothermoelastic interactions in semiconductor plate structures operating under coupled environmental and thermomechanical conditions.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"61 3","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149035224","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":"On the Size-Dependent Interfacial Behavior of One-Dimensional Hexagonal Quasicrystal Films","authors":"X. Z. Ye,&nbsp;H. Y. Dang,&nbsp;C. S. Lu,&nbsp;Z. T. Chen,&nbsp;M. H. Zhao,&nbsp;C. Y. Fan","doi":"10.1134/S0025654426601448","DOIUrl":"10.1134/S0025654426601448","url":null,"abstract":"<p>With extraordinary properties, quasicrystals (QCs) have been applied as an ideal film material. During the service, the mechanical response of QC films is strongly dependent on their characteristic dimensions, giving rise to pronounced size effects. Under such conditions, classical continuum mechanics, lacking intrinsic material length scales, fails to accurately predict the mechanical behavior at micro- and nano-scales. Understanding the interfacial mechanical behavior of a thin QC film considering size effects is of great importance for its performance design and safety assessment. In this paper, the size-dependent mechanical behavior of a one-dimensional hexagonal QC film bonded to an elastic substrate under temperature loading in investigated within the framework of couple-stress theory. The film is modeled as an Euler–Bernoulli beam model. Assuming perfect interfacial bonding, the governing integral equations are formulated in terms of the interfacial normal and shear phonon stresses. Numerical solutions are obtained using Chebyshev polynomial expansions combined with a collocation method, yielding explicit expressions for stresses, displacements, stress intensity factors and the <i>J</i>-integral. The influences of the characteristic lengths of the film and substrate, film’s aspect ratio, and the stiffness ratio between the film and substrate are systematically examined briefly discussed. This study provides a theoretical foundation for the reliable design and safety assessment of QC films in micro- and nano-scale devices.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"61 3","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149035283","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":"Design and Quasi-Static Compressive Behavior of Discretely Assembled Negative-Poisson’s-Ratio Metamaterials","authors":"Junjian Fu,&nbsp;Ke Song,&nbsp;Yelong Sun,&nbsp;Jingrui Chu,&nbsp;Xiang Li","doi":"10.1134/S0025654426602284","DOIUrl":"10.1134/S0025654426602284","url":null,"abstract":"<p>Auxetic metamaterials exhibit excellent energy absorption capabilities. However, they rely heavily on additive manufacturing and face challenges in large-scale applications. To address these issues, this study proposes a discretely assembled auxetic metamaterial. The structure is composed of two-dimensional re-entrant plates bolted together to form three-dimensional unit cells, from which multi-cell assemblies can be constructed. First, an analytical formula for the effective Poisson’s ratio of a single plate was derived based on strain energy theory. Second, finite element simulations were performed. The simulations investigated effects of re-entrant angle and wall thickness on specific energy absorption and mean crushing force of the structure. The performance of three assembly configurations was compared. Subsequently, quasi-static compression experiments were carried out. The experimental results agreed well with the finite element simulations, validating the numerical model. Finally, the mechanical performance of the discretely assembled structure was compared with that of an integrated structure. The magnitude of the effective Poisson’s ratio of the plate decreases as the re-entrant angle increases; among the three configurations, the 1 × 2 × 2 configuration exhibits the most stable compressive deformation mode and the best energy absorption performance; increasing the re-entrant angle and wall thickness enhances both the specific energy absorption and mean crushing force; and the discretely assembled structure shows lower mechanical performance than its monolithic counterpart. Despite this trade-off, the design strategy offers a pathway for developing low-cost, lightweight, assemblable metamaterials with high energy absorption. This is especially beneficial for applications needing modularity and scalability.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"61 3","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149035299","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":"Evolution of Interlaminar Performance in UHMWPE Laminates Subjected to Multiple Ballistic Impacts and the Underlying Influence Mechanisms","authors":"Xiaoping Zhang,&nbsp;Jiayi Shen,&nbsp;Jinyao Nie,&nbsp;Yanfeng Niu,&nbsp;Can Ding,&nbsp;Tianyi Gu,&nbsp;Hao Zou,&nbsp;Susu Liu","doi":"10.1134/S0025654426601606","DOIUrl":"10.1134/S0025654426601606","url":null,"abstract":"<p>To investigate the dynamic degradation law of interlaminar bonding performance under multiple ballistic impacts, a systematic investigation is carried out in this study through a combination of ballistic experiments and numerical simulations. Ballistic tests using a 7.62 mm steel-core projectile at 720 ± 10 m/s are performed, recording damage morphology, bulge height, and delamination diameter across three sequential impacts. Based on the physical mechanism of interlaminar performance degradation, three mechanically meaningful degradation modes are proposed: global weakening across all interfaces, localized pre-damage near the impact point, and layer-by-layer failure. A finite element model is established in ANSYS/LS-DYNA to analyze the damage propagation laws and stress wave propagation characteristics of the laminate under different degradation modes comparatively. Delamination area expands progressively with each impact, but expansion patterns differ: global weakening yields smooth wave attenuation; localized pre-damage induces stress wave scattering at impedance mismatch interfaces; layer-by-layer failure triggers chain-like, jump-like delamination growth. It is revealed that stress wave scattering induced by localized pre-damage and layer-by-layer failure serves as the physical mechanism underlying the nonlinear degradation of multi-hit ballistic resistance. The performance degradation mechanism of UHMWPE laminates under multi-hit impact is thus elucidated, providing a theoretical basis and predictive tools for the design and evaluation of next-generation lightweight, high-durability ballistic 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":"149034493","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":"Penetration of Pinewood Targets by Natural Fragments: Experiments, Residual-Velocity Modeling, and Numerical Analysis of Shape Effects","authors":"Huijie Feng,&nbsp;Zengyou Liang,&nbsp;Yang Li,&nbsp;Xujie Liu,&nbsp;Rui Yu","doi":"10.1134/S002565442660145X","DOIUrl":"10.1134/S002565442660145X","url":null,"abstract":"<p>Irregular natural fragments recovered from explosive munitions exhibit substantial variability in mass, geometry, and impact attitude, making the prediction of penetration resistance and residual velocity more challenging than for standard fragment-simulating projectiles. In this study, the penetration behavior of 25 mm pinewood targets impacted by natural fragments was investigated through a combined experimental, theoretical, and numerical approach. Ballistic penetration tests and post-penetration in-air velocity attenuation experiments were conducted over a fragment mass range of 1–13 g and an impact velocity range of 100–800 m/s. In addition, three-dimensional scanning was used to reconstruct realistic fragment geometries for high-fidelity LS-DYNA simulations. The results show that fragment mass governs the transition from non-perforation to perforation, whereas fragment asymmetry mainly controls energy dissipation, residual velocity reduction, and damage localization. Compared with cube-shaped fragments, natural fragments exhibit poorer ballistic stability and stronger yawing, tumbling, and edge-induced shearing during penetration, resulting in a much higher average velocity decay rate (80.09% versus 35.17%) and approximately 58% greater energy dissipation. To improve predictive capability, a residual-velocity model incorporating fragment length and width was developed and further coupled with a mass-binned in-air attenuation model to describe post-penetration velocity evolution. Numerical results further indicate that axially symmetric fragments generate lower peak accelerations and smaller energy and velocity losses, whereas asymmetric fragments produce longer-lasting acceleration responses and more severe target damage. Overall, the present study provides an experimentally validated framework for evaluating the penetration mechanics and post-impact ballistic response of irregular natural fragments in wood targets.</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":"149034578","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}