International Journal of Solids and Structures最新文献

{"title":"Impact attenuation of sphere on woodpile","authors":"Yuran Jin ,&nbsp;Qing Peng ,&nbsp;Xiaoming Liu","doi":"10.1016/j.ijsolstr.2025.113215","DOIUrl":"10.1016/j.ijsolstr.2025.113215","url":null,"abstract":"<div><div>The woodpile structure shows exceptional cushioning and vibration reduction under impact. The impact, such as the case of a sphere impacting on stacked beams (a beam chain), has been studied using the discrete element method (DEM) in the literature, which shows that the DEM approach is limited to low-frequency vibrations, mostly up to the third harmonic mode triggered by the impact. However, many impact contacts, similar to step loads, will induce high-order modal vibrations (excited eigenmodes beyond the fifth modes). Present work encompasses the higher vibrational modes under such impact. With Timoshenko beams considering shear effect, the dynamics of sphere-woodpile impact is studied by coupling the superposition method for higher modes and the Hertz law for nonlinear contact. Result reveals the high mode vibration greatly reduces the contact force on the stacked beam, thus slender beam can expedite the dissipation of impact energy. Also, the higher-order vibrations enhance the speed of wave propagating within the beam chain and amplify attenuation effects. These insights offer a guidance for the design of impact-resistant structures and advanced shock absorbers.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"310 ","pages":"Article 113215"},"PeriodicalIF":3.4,"publicationDate":"2025-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143153364","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 axisymmetric nanoindentation of an exponentially graded coating–substrate structure with both surface and interface effects","authors":"Youxue Ban,&nbsp;Changwen Mi","doi":"10.1016/j.ijsolstr.2024.113211","DOIUrl":"10.1016/j.ijsolstr.2024.113211","url":null,"abstract":"<div><div>This paper investigates the axisymmetric nanocontact of a gradient nanostructure, comprising an exponentially graded coating and a homogeneous half-space, under a rigid spherical indenter. The Steigmann–Ogden surface elastic theory is utilized to model the surface effects at the upper surface of the coating and the interface effects at the coating–substrate boundary. We derive nonclassical boundary conditions and, in conjunction with the displacement continuity across the interface, construct the integral equation describing the nanocontact using the Hankel integral transform. Along with the force equilibrium condition, this equation is discretized and collocated with Gauss–Chebyshev quadratures. An iterative algorithm is developed to solve the resulting algebraic system for contact pressure and radius of the contact circle. Validation against existing literature confirms the accuracy and reliability of the proposed solution method and numerical algorithm. Extensive parametric studies reveal the significant influence of surface and interface effects, the inhomogeneity index of the graded coating, and the indenter radius on nanocontact behavior. The surface effects, characterized by a reduction in contact radius, maximum stress, and subsidence, demonstrate a pronounced size dependency. Notably, soft coatings exhibit a more substantial impact, and the reduction of indenter radius or external load further amplifies these effects. The interface effects, though less pronounced than surface effects, also play a crucial role in affecting contact properties, particularly for hard graded coatings. These findings underscore the importance of considering both surface and interface effects in the design and analysis of nanostructured materials.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"310 ","pages":"Article 113211"},"PeriodicalIF":3.4,"publicationDate":"2025-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143153368","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Prediction of yield strength anomaly by improved semi-discrete variation Peierls-Nabarro model for L12-ordered alloys Ni3X and Co3X","authors":"Xiangsheng Hu ,&nbsp;Guowei Zeng ,&nbsp;Minsheng Huang ,&nbsp;Zhenhuan Li ,&nbsp;Yaxin Zhu ,&nbsp;Lv Zhao","doi":"10.1016/j.ijsolstr.2024.113214","DOIUrl":"10.1016/j.ijsolstr.2024.113214","url":null,"abstract":"<div><div>Nickel-based and Cobalt-based superalloys (NBSA and CBSA) are widely used in hot-end components of aero engines for their excellent mechanical properties and special microstructures with both <em>γ</em> and <em>γ’</em> phases. The <em>γ’</em> phase exhibits a yield strength anomaly (YSA, <em>i.e.</em>, the yield strength increases with the increase of temperature), which can significantly affect the overall mechanical behavior of superalloys. To investigate the necessary conditions for the generation of YSA in these L1₂-ordered NBSAs and CBSAs, the commonly used PPV model is improved with special consideration of the potential type <em>I’</em> superdislocation core structure, and the related parameters and physical properties of superdislocations are achieved by the enhanced SVPN model including the lattice discreteness effect and by the DFT calculations. It is found that there are three possible superdislocation core structures (<em>i.e.</em>, type <em>I</em>, type <em>I’</em> and type <em>II</em>), but the type <em>I’</em> core structure has the lowest total energy, and thus the formation of type <em>I’</em> superdislocation configuration is the most energetically favorable at least when external loading is applied. For this, the influence of type <em>I’</em> superdislocation on the generation of YSA behavior should be given special consideration. In addition, the energetically favorable type <em>I’</em> configuration also exhibits the lowest predicted Peierls stress. Further, if the classical PPV model without considering the type <em>I’</em> configuration is employed, it may give a wrong prediction for the YSA behavior of Ni₃Al, Ni₃Ga, Ni₃Si, Ni₃Ge and Co₃Al_0.5W_0.5. However, by the present improved PPV model, predictions consistent with the experimental observation can be obtained. Consequently, the consideration of type <em>I’</em> configuration in the present improved PPV model and the employment of enhanced SVPN model with lattice discreteness effect are necessary and appropriate.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"310 ","pages":"Article 113214"},"PeriodicalIF":3.4,"publicationDate":"2025-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143153315","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Non-local orthotropic damage-plastic model for 3D printed materials","authors":"Denis Linardi,&nbsp;Elisabetta Monaldo,&nbsp;Sonia Marfia","doi":"10.1016/j.ijsolstr.2024.113210","DOIUrl":"10.1016/j.ijsolstr.2024.113210","url":null,"abstract":"<div><div>A non-local orthotropic damage and plasticity phenomenological model for 3D printed materials is presented. The model specifically refers to 3D printed structural elements realized with an extrusion-based technique and made with thermoplastic materials.</div><div>The structural behavior of the 3D printed component is described with a laminate finite element model based on the first-order shear deformation theory. Each layer of the laminate is described with a non-local orthotropic damage and plastic model. Indeed, the overall mechanical response of 3D printed materials is significantly influenced by plasticity and damage mechanisms that can lead to a range of failure modes from brittle-like to ductile. The proposed orthotropic damage model is based on the introduction of three different damage parameters. Each of them describes a specific damage mechanism, i.e. fiber breakage, fiber detachment and delamination, that is clearly visible from the analysis of the 3D printed samples subjected to experimental tests. Some applications are carried out and the numerical results are compared with experimental results available in literature, highlighting the effectiveness of the proposed modeling technique.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"310 ","pages":"Article 113210"},"PeriodicalIF":3.4,"publicationDate":"2024-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143153366","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Peridynamics for multi-physics coupling to simulate cracking in fuel rods","authors":"Qi-Qing Liu ,&nbsp;D.H. Hao ,&nbsp;Y.L. Hu ,&nbsp;Yin Yu ,&nbsp;Q.Z. Wang ,&nbsp;E. Madenci","doi":"10.1016/j.ijsolstr.2024.113203","DOIUrl":"10.1016/j.ijsolstr.2024.113203","url":null,"abstract":"<div><div>This study presents a new coupled multi-physics model based on Bond-Associated Non-Ordinary State-Based Peridynamics (BA-NOSB PD) to investigate the mechanical behavior and crack patterns of fuel rods. Unlike the existing PD coupled multi-physics models, this novel PD model for the first-time accounts for the irradiation-induced behaviors such as densification, swelling, and creep. Also, it captures the Pellet and Cladding Interaction (PCI) under realistic boundary conditions. Furthermore, random critical stretch values with normal distribution within the fuel rods lead to realistic crack pattern of fuel rods during prolonged irradiation. The crack pattern of fuel rods with irradiation is compared with those without irradiation. The results show that the fuel pellet initially shrinks and then expands as burnup rises, while cladding consistently shrinks inward until gap closure, with its compressive state relieved by PCI. Associated with the damage in fuel rods, radial cracks occur during the power rise, while circumferential cracks mainly form during the densification stage, and only few secondary circumferential cracks occur during power ramp-down. The displacement of damaged pellet increases slowly as burnup rises, and the gap closure time is greatly delayed compared with that of an undamaged pellet.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"310 ","pages":"Article 113203"},"PeriodicalIF":3.4,"publicationDate":"2024-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143153369","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 LATIN-PGD reduced order approximation dedicated to the solution of an optimal control based identification strategy for non-linear constitutive parameters","authors":"Mainak Bhattacharyya,&nbsp;Pierre Feissel","doi":"10.1016/j.ijsolstr.2024.113189","DOIUrl":"10.1016/j.ijsolstr.2024.113189","url":null,"abstract":"<div><div>The objective of the research is to obtain deterministic identification of non-linear material parameters from full field measurements of kinematic data acquired from digital image correlation (DIC). The inverse problem involves proposal of the optimal control approach, considered to be a variant of modified constitutive relation error (MCRE), where the complete knowledge of the boundary conditions and the measurement data are not required. The optimisation problem essentially translates into minimisation of a quadratic functional under non-linear constraints. The non-linear optimisation is solved through the iterative large time increment (LATIN) method. A proper generalised decomposition (PGD) based reduced order approximation is also incorporated in this procedure for the sake of numerical frugality of the iterative method. Finally, a few numerical examples are depicted that establish the efficacy of the methodology.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"309 ","pages":"Article 113189"},"PeriodicalIF":3.4,"publicationDate":"2024-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143138009","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 new application of quadrilateral finite element model incorporating the discrete shear projection technique for free vibration response of CNT reinforced plates","authors":"Zakaria Belabed","doi":"10.1016/j.ijsolstr.2024.113204","DOIUrl":"10.1016/j.ijsolstr.2024.113204","url":null,"abstract":"<div><div>This study presents an advanced quadrilateral finite element model for analyzing the free vibration behavior of functionally graded carbon nanotube-reinforced (FG-CNTRC) nanocomposite plates. The proposed element, derived from the classical four-node Q4 element, incorporates a discrete shear projection method to evaluate transverse shear deformation using precise interpolation techniques. This approach effectively captures the complex mechanical behavior of nanocomposite plates while avoiding the computational complexity associated with higher-order shear deformation models. The developed Q4γ element, based on first-order shear deformation plate theory, features five degrees of freedom per node and maintains inter-element continuity through C⁰ continuity for kinematic variables. Isoparametric coordinates generate elementary stiffness and mass matrices, enhancing the formulation’s accuracy. Notably, the model mitigates shear locking without resorting to sophisticated numerical techniques. Governing equations are derived using the weak form of the variational principle. The mechanical properties of FG-CNTRC plates are modeled to vary gradually across the thickness, accounting for different distribution patterns and CNT volume fractions. The model’s performance is rigorously validated against analytical solutions and established finite element models, demonstrating excellent accuracy without requiring excessive mesh refinement. Comprehensive numerical investigations explore the influence of material and geometric configurations on the free vibration response of FG-CNTRC plates. The Q4γ element proves particularly effective in capturing both in-plane and out-of-plane responses in advanced composite structures. Results indicate that optimized reinforcement distribution patterns can significantly enhance computational efficiency. This research provides a valuable tool for designing and optimizing CNT-reinforced nanocomposite structures, with potential applications in aerospace and automotive industries where multiphysics environmental impacts are critical. The model’s ability to accurately predict vibrational behavior while maintaining computational efficiency represents a significant advancement in nanocomposite structural analysis.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"309 ","pages":"Article 113204"},"PeriodicalIF":3.4,"publicationDate":"2024-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143138140","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Programmable wrinkling patterns of liquid crystal network bilayers on compliant substrates","authors":"Yifan Yang ,&nbsp;Shichen Zhao ,&nbsp;Zhijun Dai,&nbsp;Fan Xu","doi":"10.1016/j.ijsolstr.2024.113206","DOIUrl":"10.1016/j.ijsolstr.2024.113206","url":null,"abstract":"<div><div>Smart soft materials have gained increasing attention in recent years because of their adaptive behaviors to external multi-physics stimuli, enabling diverse applications across multiple fields. Here, we show programmable wrinkling morphological patterns on liquid crystal network (LCN) bilayers bonded to compliant substrates under thermal load, by tuning the orientation of directors between LCN bilayers. We propose a solid-shell formulation that merges enhanced and natural assumed strain approaches to investigate the pattern formation and morphological transition of LCN bilayers. By introducing director-determined anisotropic spontaneous strains, we explore effects of director orientations determined by two angles <span><math><mi>θ</mi></math></span> (in-plane) and <span><math><mi>φ</mi></math></span> (out-of-plane) for each layer, on surface wrinkling pattern formation and evolution. When the directors are aligned in-plane, oblique angles of stripe wrinkles approximates to the average value of director angles in LCN bilayers, <em>i.e.</em>, <span><math><mrow><mrow><mo>(</mo><msub><mrow><mi>θ</mi></mrow><mrow><mi>l</mi></mrow></msub><mo>+</mo><msub><mrow><mi>θ</mi></mrow><mrow><mi>u</mi></mrow></msub><mo>)</mo></mrow><mo>/</mo><mn>2</mn></mrow></math></span>. For more general spatial alignments of directors, phase diagrams on wrinkling modes indicate that diverse morphologies such as stripe, checkerboard, herringbone and parallel bead-chain modes, can emerge due to intricate nonlinear interactions between bilayers. Pattern selection is found to be primarily determined by the in-plane angle <span><math><mi>θ</mi></math></span>, rather than the out-of-plane angle <span><math><mi>φ</mi></math></span>. Our results could offer valuable insights into the functional design of smart surfaces related to wrinkling morphology.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"309 ","pages":"Article 113206"},"PeriodicalIF":3.4,"publicationDate":"2024-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143137609","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Isolating the effects of deviatoric and hydrostatic stress on damage evolution using cold extrusion experiments","authors":"Robin Gitschel,&nbsp;Johannes Gebhard,&nbsp;Yannis P. Korkolis,&nbsp;A. Erman Tekkaya","doi":"10.1016/j.ijsolstr.2024.113205","DOIUrl":"10.1016/j.ijsolstr.2024.113205","url":null,"abstract":"<div><div>Ductile damage evolution is known to be dependent on stress triaxiality and Lode parameter. An experimental isolation of these two influencing factors is challenging, especially at large plastic strains, since a variation of the Lode parameter is usually accompanied by a variation in the triaxiality. In this study, forward rod extrusion and forward hollow extrusion are utilized to induce Lode parameters (<em>L</em>) of −1 and 0, respectively, while keeping the triaxiality and the plastic equivalent strain the same in both processes. For the triaxiality this is accomplished by superposing hydrostatic pressure by a counterpunch during forward rod extrusion. This allows for the first time, to the author’s knowledge, to experimentally study the isolated effect of the Lode parameter on void evolution at large plastic strains, and the resulting effects on product performance like impact toughness. Mass density measurements and scanning electron microscopy (SEM) on extruded samples of the case hardening steel 16MnCrS5 reveal an increased damage evolution under <em>L</em> = 0 as compared to <em>L</em> = −1. The SEM investigations show a distinct switch in void nucleation mechanisms from cracking of manganese sulphide inclusions for <em>L</em> = −1 to cracking and debonding of inclusions and surrounding matrix for <em>L</em> = 0. The debonding occurs in a preferred direction, leading to anisotropic void area fractions. The locations of inclusion-matrix-debonding are verified by evaluation of interface stresses between matrix and inclusion in representative volume element simulations. While the impact toughness of specimens extracted along different orientations is consistently different, this cannot be conclusively attributed only to the corresponding microscopic damage anisotropy.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"310 ","pages":"Article 113205"},"PeriodicalIF":3.4,"publicationDate":"2024-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143153365","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Phase transition resistance induced by locally resonant metastructures","authors":"Peng-Cheng Qi ,&nbsp;Yi-Ze Wang","doi":"10.1016/j.ijsolstr.2024.113209","DOIUrl":"10.1016/j.ijsolstr.2024.113209","url":null,"abstract":"<div><div>Based on the piecewise linear relation between the force and elongation of springs, the phase transition and its generating waves in mechanical metastructures are studied. With the Wiener-Hopf method, the governing equation of the transition wave is derived. External force compensations for defect springs are considered to describe the phase transition. Besides the condition that whether the phase transition can be generated, localized phase transition is discussed. Furthermore, finite element simulation and experiment are performed to show the dynamic phase transition. It can be concluded that the locally resonant metastructures can enhance the resistance of phase transition. This research is expected to be helpful to design new kinds of elastic wave metastructures and metamaterials to improve phase transition strength.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"309 ","pages":"Article 113209"},"PeriodicalIF":3.4,"publicationDate":"2024-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143138141","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}