International Journal of Solids and Structures最新文献

{"title":"Dispersive properties of metamaterial beams with rod-like resonators: A coupled axial-flexural analysis","authors":"Andrea Burlon","doi":"10.1016/j.ijsolstr.2024.113145","DOIUrl":"10.1016/j.ijsolstr.2024.113145","url":null,"abstract":"<div><div>This paper addresses the propagation of coupled axial-flexural waves in metamaterial beams with rod-like resonators. Utilizing an exact frequency-dependent stiffness method, based on Euler–Bernoulli beam assumption for rods and host beam, and fully accounting for axial-flexural coupling phenomena, several adimensional parametric analyses are performed for investigating the dispersive properties of the metamaterial beams. The analyses reveal novel and relevant aspects unaddressed in previous studies. Firstly, they show that certain rod configurations lead to significant interference between flexural resonance and the band gaps opened by axial resonance, whereas other configurations enable flexural resonance to open substantial band gaps without interference from axial resonance. Results are complemented by 3D finite element analyses proving evidence of the findings and validating the method. Additional analyses demonstrate that adding a tip mass to the rods, while keeping the total mass of the resonator unchanged, can significantly reduce the opening frequency of the band gaps and can attenuate or remove the interference caused by flexural resonance within the band gaps opened by axial resonance; the rotational inertia of the tip mass can also play a significant role in removing flexural resonance interference. Notably, the paper also reveals that the attenuation phenomena for the coupled problem with a single set of rods are governed by the opening of weak band gaps, rather than by traditional band gaps; this aspect is elucidated by showing Bloch mode shapes of the infinite metamaterial beam and frequency response of the corresponding finite beam. Results and proposed design prove to be useful and promising for locally resonant beams featuring rod-like resonators, both as an alternative to traditional beam-like resonators and for their applicability in the 3D printing process of locally resonant structures, where rods serve as elastic elements in constructing the resonators.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"308 ","pages":"Article 113145"},"PeriodicalIF":3.4,"publicationDate":"2024-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142748268","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":"An accurate and efficient method based on the dynamic stiffness matrix for analyzing wave propagation in defective lattice structures","authors":"B.W. Yan,&nbsp;Q. Gao","doi":"10.1016/j.ijsolstr.2024.113147","DOIUrl":"10.1016/j.ijsolstr.2024.113147","url":null,"abstract":"<div><div>In this study, we present an efficient and accurate method for analyzing wave propagation in lattice structures with periodic defects, which are composed of three-dimensional (3D) unit cells arranged infinitely in two or three directions, with defects existing periodically along the directions of the arrangement. The unit cell is composed of 3D beams, and the dynamic stiffness formulation of the 3D beam is developed by combining the Timoshenko-Ehrenfest, Rayleigh-Love and torsion theories. Based on the dynamic stiffness matrix, any number or order of natural frequencies of defective lattice structures can be calculated accurately and efficiently using the Wittrick-Williams algorithm. By combining it with the Bloch theorem, the proposed method can be used to calculate the dispersion curves of lattice structures with periodic defects. The accuracy and efficiency of the proposed method are demonstrated through numerical examples. Additionally, the effects of periodic defects in the lattice structures on the bandgap are analyzed.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"308 ","pages":"Article 113147"},"PeriodicalIF":3.4,"publicationDate":"2024-11-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142697355","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":"An analytical model for the phase transformation front propagation in superelastic SMA under impact tensile loading","authors":"Y. Wang ,&nbsp;B. Hou ,&nbsp;S. Roux ,&nbsp;H. Zhao","doi":"10.1016/j.ijsolstr.2024.113151","DOIUrl":"10.1016/j.ijsolstr.2024.113151","url":null,"abstract":"<div><div>Shape-memory alloys (SMAs) exhibit superelastic behavior due to reversible phase transformations. Under dynamic (impact) loading, phase transformation is experimentally observed to occur along a band whose front propagates throughout the specimen. However, unlike the static case, the nucleation and propagation of these bands require further understanding. Recently, a Finite Element Method (FEM) simulation based on Thamburaja and Nikabdullah’s constitutive model successfully reproduced the experimental observations. In this study, the model is revisited in the specific case of a one-dimensional dynamic tension test, which allows for the derivation of an analytical closed-form one-dimensional stress–strain relation. When compared to FEM simulations of a single element, this analytical solution shows excellent agreement. From this closed form stress–strain relation, the propagation speed of the phase transformation shock front can be analytically computed. It also highlights that the shock front speed is primarily controlled by the strain reached after the complete transformation from the Austenite to the Martensite phase.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"308 ","pages":"Article 113151"},"PeriodicalIF":3.4,"publicationDate":"2024-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142697459","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":"Vibration characteristics of cylindrical shells with discontinuous connections based on the spectral element method","authors":"Chai Kai ,&nbsp;Liu Junfeng ,&nbsp;Lou Jingjun ,&nbsp;Liu Shuyong","doi":"10.1016/j.ijsolstr.2024.113148","DOIUrl":"10.1016/j.ijsolstr.2024.113148","url":null,"abstract":"<div><div>Common shell of revolution, such as cylindrical, conical, and spherical shells, are widely used in marine, aerospace, and other engineering fields due to their excellent support and pressure-resistant properties. Research on their vibration characteristics has progressed from single shells to composite shells, from ribbed shells to those with complex internal substructures, and from uniform to discontinuous connections. The discontinuities in wave propagation at the boundaries of discontinuously connected cylindrical shells result in highly complex equation of vibration control, leading to limited studies in this area. This study first models the uniform cylindrical shell and annular plate as spectral elements, using trigonometric and Bessel functions to describe displacement solutions and obtain vibration responses for arbitrary boundary conditions. Then, based on artificial virtual spring theory and the weighted least squares method, the discontinuous connection between the cylindrical shell and annular plate is modeled as a circumferentially varying stiffness distribution, leading to the derivation of dynamic stiffness matrices for both continuous and discontinuous connections. Finite element simulations are conducted using ABAQUS to analyze the vibration characteristics of the discontinuously connected cylindrical shell under free, clamped, and simply supported boundary conditions. Finally, an experimental setup is used to measure the vibration response under harmonic excitation and perform impedance testing with an impact hammer. The results show that the spectral element method accurately calculates the natural frequencies of the stiffened cylindrical shell, with an overall error of less than 2 %, while the maximum error for the experimental shell is 5.8 %.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"308 ","pages":"Article 113148"},"PeriodicalIF":3.4,"publicationDate":"2024-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142722372","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":"Minimum energy combined and separated bounds on elastic constants of transversely-isotropic composites","authors":"Duc-Chinh Pham","doi":"10.1016/j.ijsolstr.2024.113134","DOIUrl":"10.1016/j.ijsolstr.2024.113134","url":null,"abstract":"<div><div>The considered linearly-elastic transversely-isotropic composite (TIC) is composed of <span><math><mi>n</mi></math></span> isotropic, or more generally, transversely-isotropic components sharing the materials’ common symmetry axis with that of the macroscopic material. Using the basic minimum energy and complementary energy principles with certain free-parameter-dependent mixed-longitudinal-transverse-mode strain and stress trial fields, various combination bounds involving some sets of the macroscopic (effective) mixed-mode elastic constants of the composite, which are inter-connected via the constitutive relations, have been established. Choosing the appropriate parameter values of/or optimizing over the free parameters in those inequalities, the separated bounds on the major effective mixed-transverse-longitudinal-mode elastic constants, including the transverse bulk modulus <span><math><msup><mrow><mi>K</mi></mrow><mrow><mi>e</mi><mi>f</mi><mi>f</mi></mrow></msup></math></span>, the longitudinal Young modulus <span><math><msup><mrow><mi>E</mi></mrow><mrow><mi>e</mi><mi>f</mi><mi>f</mi></mrow></msup></math></span>, and the longitudinal Poisson’s ratio <span><math><msup><mrow><mi>ν</mi></mrow><mrow><mi>e</mi><mi>f</mi><mi>f</mi></mrow></msup></math></span>, are derived, beside the classical arithmetic and harmonic average bounds on the pure-mode ones — the transverse shear (<span><math><msup><mrow><mi>μ</mi></mrow><mrow><mi>e</mi><mi>f</mi><mi>f</mi></mrow></msup></math></span>) and longitudinal shear (<span><math><msup><mrow><mover><mrow><mi>μ</mi></mrow><mrow><mo>̄</mo></mrow></mover></mrow><mrow><mi>e</mi><mi>f</mi><mi>f</mi></mrow></msup></math></span>) moduli. The separated bounds on 4 remaining effective mixed-mode elastic constants are also obtained. The illustrative numerical comparisons of the bounds, in the two component case, with those for the special subclass of unidirectional transversely-isotropic composites (UTIC), having the unidirectional cylindrical boundaries between the component materials parallel to their symmetry axis, and the exact coated-cylinder assemblage and laminate models are presented. The extreme models cover substantial parts between the bounds for TIC; however the laminate models lie outside the bounds for the subclass UTIC.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"308 ","pages":"Article 113134"},"PeriodicalIF":3.4,"publicationDate":"2024-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142697457","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":"Stability discussion and application study of pseudo-corner models","authors":"Tianyin Zhang ,&nbsp;Xianhong Han","doi":"10.1016/j.ijsolstr.2024.113136","DOIUrl":"10.1016/j.ijsolstr.2024.113136","url":null,"abstract":"<div><div>Accurate plastic flow modelling under complex working conditions is crucial for metal deformation simulations. Recently, some advanced pseudo-corner models have been developed to describe corner effects and analyze strain localization problems. The present work consists of three parts. The first part discusses the intrinsic stability of the pseudo-corner model class, which forms the premise of application analysis. The second part applies the pseudo-corner models and the associated flow rule (AFR) to buckling onset estimation, plastic post-buckling analysis and shear band analysis. The experimental conditions are strictly reproduced and the optimal model parameters are determined. The results reveal that the pseudo-corner models and AFR are indistinguishable in the buckling onset estimation. AFR overestimates the post-buckling strength of circular tubes under axial compression, and cannot reproduce the shear band development during sheet bending; while the pseudo-corner models have better prediction performance in both scenarios. The results also suggest that the parameter values of pseudo-corner models are apparently inconsistent in the above two types of problems. Then in the third part, two representative influencing factors including strain gradient plasticity and initial imperfections are discussed, and this inconsistency is finally attributed to the shortwave surface defect which however is usually neglected by previous studies.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"308 ","pages":"Article 113136"},"PeriodicalIF":3.4,"publicationDate":"2024-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142654297","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 porous constitutive model for additively manufactured PLA","authors":"P. Areias,&nbsp;N. Silvestre,&nbsp;M.F. Vaz,&nbsp;M. Leite","doi":"10.1016/j.ijsolstr.2024.113131","DOIUrl":"10.1016/j.ijsolstr.2024.113131","url":null,"abstract":"<div><div>We introduce a new specific hyperelastic/plastic model and porosity evolution law able to capture the deformation and damage of additively manufactured PLA-N polymers (Fused Filament Fabrication — FFF). Porosity growth is driven by projecting the right Cauchy–Green tensor in the normal to the deposition direction and by solving a local maximization problem. Fracture energy is introduced directly in the resulting law by means of a length scale. A full finite-strain plasticity model is adopted, based on the Hosford yield criterion. Strain softening is regularized with a gradient-enhanced technique, which is solved in tandem with the equilibrium equations. A comprehensive analysis of the hyperelastic transversely isotropic/porous constitutive law is performed, with physical insight on the directional strain softening behavior. A normalized CT test specimen is used to qualitatively assess the effect of deposition direction on the crack path and to investigate the effect of mesh density in the load/displacement curves. We then present a comparison with our experimental results for a cellular PLA-N beam composed of 3 × 13 cells, in terms of crack behavior and load/displacement results. Sequential collapse of the cells and strain localization match the experimental observations.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"307 ","pages":"Article 113131"},"PeriodicalIF":3.4,"publicationDate":"2024-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142658692","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":"Multiscale model for bottom-up prediction of failure parameters of unidirectional carbon-fiber-reinforced composite lamina from the atomic to filament-scales, and its application to failure modeling of open-hole quasi-isotropic composite laminates","authors":"Tadashi Watanabe ,&nbsp;Yoshiaki Kawagoe ,&nbsp;Yamato Hoshikawa ,&nbsp;Yosuke Nakai ,&nbsp;Kazuki Ryuzono ,&nbsp;Tomonaga Okabe","doi":"10.1016/j.ijsolstr.2024.113130","DOIUrl":"10.1016/j.ijsolstr.2024.113130","url":null,"abstract":"<div><div>A multiscale model is developed to comprehensively predict the failure parameters associated with the elasto-plasticity of a unidirectional carbon-fiber-reinforced composite lamina; the prediction is performed according to the resin-matrix design. The developed model involves quantum-chemical reaction-path calculations, molecular-dynamics simulations, and micromechanical analyses at the filament scale. The presented model is further combined with an advanced numerical approach developed based on an extended finite-element method, to analyze composites at the laminate scale. Using the established four-scale model, the open-hole tension and compression of a quasi-isotropic laminate are simulated, starting from the composition of an epoxy resin. The predicted elasto-plastic properties and strengths of a unidirectional lamina are in good agreement with the previously reported experimental results. Furthermore, the strengths predicted for the open-hole tests are also plausible, as they are similar to the experimental values reported in literature. The established multiscale model is expected to be useful in composite-material development as it facilitates rapid and exhaustive analysis.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"308 ","pages":"Article 113130"},"PeriodicalIF":3.4,"publicationDate":"2024-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142697458","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":"Coupled thermo-mechanical modeling of reflective cracking in flexible pavements","authors":"Mohammad Rahmani,&nbsp;Yong-Rak Kim","doi":"10.1016/j.ijsolstr.2024.113129","DOIUrl":"10.1016/j.ijsolstr.2024.113129","url":null,"abstract":"<div><div>This study presents a coupled thermo-mechanical finite element modeling to simulate the reflective cracking of flexible pavements. The method integrates principles from computational fracture mechanics, specifically focusing on the mixture-level fracture characteristics of bituminous materials, and links them with a structural-level model for the deformation and cracking of pavements. Recognizing the substantial impact of mechanical and environmental factors on pavement damage performance, this study considers time- and temperature-dependent deformations and fracture of bituminous mixtures. To address this, the finite element method incorporated with cohesive zone fracture was used to account for the viscoelastic properties and temperature-dependent fracture characteristics of the bituminous mixtures. The concept of multiphysics modeling is elucidated within this context. To assess the capability of the modeling approach and its sensitivity under varying pavement design variables and loading conditions, a total of 14 cases with varying mixture properties, pavement layer configurations, and loading conditions (i.e., thermal loading only and coupled thermal–mechanical loading) were considered. The computational modeling presented in this study has the scientific rigor to predict complex fracture of mixtures and pavements with promising modelling efficiency with a few laboratory tests. Model simulation results demonstrate the effects of mixture properties and their layer configurations, which implies that coupled multiphysics modeling such as herein can differentiate the pavement damage performance influenced by interactive design variables and loading conditions. The pavement failure process is intensified when thermal and mechanical loads are applied simultaneously.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"308 ","pages":"Article 113129"},"PeriodicalIF":3.4,"publicationDate":"2024-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142698450","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":"Defect dynamics modeling of mesoscale plasticity","authors":"Phu Cuong Nguyen ,&nbsp;Nicole Aragon ,&nbsp;Ill Ryu","doi":"10.1016/j.ijsolstr.2024.113132","DOIUrl":"10.1016/j.ijsolstr.2024.113132","url":null,"abstract":"<div><div>The collective motion of defects and their interaction are the basic building blocks for plastic deformation and corresponding mechanical behaviors of crystalline metals. Especially, dislocations among various defects are the “carrier” of plastic deformation in many crystalline materials, particularly ductile materials. To get a fundamental understanding of plastic deformation mechanisms, it calls for an integrated computational platform to simultaneously capture detailed defects characteristics across several length scales together with corresponding macroscopic mechanical response. In this paper, we present a three-dimensional mesoscale defect dynamics model to directly couple the three dimensional discrete dislocation dynamics model with continuum finite element method, aiming at capturing both size dependent plasticity at micron-, and submicron scale and constitutive behaviors at larger scales where such size-dependence disappear. Using non-singular dislocation theories, our model could accurately consider both short- and long-range elastic interactions between multiple dislocation segments with even higher computational efficiency than traditional dislocation dynamics simulations, together with the careful consideration of crystal/material rotation in the coupled framework. In addition, our model could directly model dislocation nucleation from stress concentrators such as a void, crack and indentor tip, which could allow us to investigate various defects’ motion and their mutual interactions, predicting macroscopic mechanical response of complex structures. The developed concurrently coupled model could also consider multiphysical phenomena by solving coupled governing equations in finite element framework, which could shed light on complex defect behaviors under various physical environments.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"307 ","pages":"Article 113132"},"PeriodicalIF":3.4,"publicationDate":"2024-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142658693","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}