International Journal of Engineering Science最新文献

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Asymptotic continualisation of high-contrast lattices and the interpretation of gradient elasticity 高对比格的渐近连续化与梯度弹性的解释
IF 5.7 1区 工程技术
International Journal of Engineering Science Pub Date : 2026-04-01 Epub Date: 2026-01-08 DOI: 10.1016/j.ijengsci.2025.104456
J. Kaplunov , L. Nazarenko , H. Altenbach
{"title":"Asymptotic continualisation of high-contrast lattices and the interpretation of gradient elasticity","authors":"J. Kaplunov ,&nbsp;L. Nazarenko ,&nbsp;H. Altenbach","doi":"10.1016/j.ijengsci.2025.104456","DOIUrl":"10.1016/j.ijengsci.2025.104456","url":null,"abstract":"<div><div>The basic concepts of gradient elasticity are interpreted by developing an asymptotic continualisation procedure for high-contrast lattices. As an example, a two-spring axial lattice supporting both direct and indirect interactions is considered, assuming the stiffness of the string related to the latter is much greater. In this case, the length scale of gradient phenomena considerably exceeds the distance between lattice nodes ensuring a continuous approximation. At leading order, it is given by a fourth-order singular perturbed equation degenerating to a second-order one, which is typical of the canonical asymptotic setup. It is shown that the gradient behaviour may also be incorporated by imposing effective boundary conditions for the mentioned second-order equation. The accuracy of the derived continuous framework is illustrated by comparison with the exact discrete solution.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"221 ","pages":"Article 104456"},"PeriodicalIF":5.7,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145940299","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Weakly nonlinear dynamics of a thin aerogel coating governed by Rajagopal’s continuum model Rajagopal连续统模型下薄气凝胶涂层的弱非线性动力学
IF 5.7 1区 工程技术
International Journal of Engineering Science Pub Date : 2026-04-01 Epub Date: 2026-01-07 DOI: 10.1016/j.ijengsci.2025.104451
Weibo Xiong , Danila Prikazchikov , Rasul Abdusalamov , Mikhail Itskov
{"title":"Weakly nonlinear dynamics of a thin aerogel coating governed by Rajagopal’s continuum model","authors":"Weibo Xiong ,&nbsp;Danila Prikazchikov ,&nbsp;Rasul Abdusalamov ,&nbsp;Mikhail Itskov","doi":"10.1016/j.ijengsci.2025.104451","DOIUrl":"10.1016/j.ijengsci.2025.104451","url":null,"abstract":"<div><div>This paper addresses a dynamic problem for a thin aerogel layer with one face fixed and a time-harmonic vertical displacement prescribed on the opposite face. The constitutive relations rely on Rajagopal’s nonlinear implicit model. To validate the material parameters, we conduct uniaxial compression experiments on organic–inorganic hybrid silica aerogels, confirming the predictive capability of the proposed model. A weakly nonlinear asymptotic analysis is conducted and the associated two-term approximate solution is obtained, for both the one-dimensional problem for transverse displacement and the plane-strain problem. Comparisons with numerical solutions are performed, highlighting the importance of the nonlinear corrector. The integrated approach involving asymptotic analysis, numerical investigations, and experimental characterization advances the understanding of the dynamic behaviour of aerogels and paves the way for the design of aerogel-based insulation applications.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"221 ","pages":"Article 104451"},"PeriodicalIF":5.7,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145940294","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Poroelasticity in the presence of active fluids 活性流体存在时的孔隙弹性
IF 5.7 1区 工程技术
International Journal of Engineering Science Pub Date : 2026-04-01 Epub Date: 2026-01-06 DOI: 10.1016/j.ijengsci.2025.104457
R. Cavuoto , S. Scala , A. Cutolo , G. Mensitieri , M. Fraldi
{"title":"Poroelasticity in the presence of active fluids","authors":"R. Cavuoto ,&nbsp;S. Scala ,&nbsp;A. Cutolo ,&nbsp;G. Mensitieri ,&nbsp;M. Fraldi","doi":"10.1016/j.ijengsci.2025.104457","DOIUrl":"10.1016/j.ijengsci.2025.104457","url":null,"abstract":"<div><div>This work presents a model for characterizing porous, deformable media embedded with magnetorheological fluids (MRFs). These active fluids exhibit tunable mechanical and rheological properties that can be controlled through the application of a magnetic field, which induces a phase transition from a liquid to a solid-like state. This transition profoundly affects both stress transmission and fluid flow within the composite, leading to a behaviour governed by a well-defined threshold that depends on the ratio between the pore size and the characteristic size of clusters of magnetic particles, and can be triggered by adjusting the magnetic field intensity. These effects were confirmed through an experimental campaign conducted on a prototype composite obtained by imbibing a selected MRF into commercial sponges. To design and optimize this new class of materials, a linear poroelastic formulation is proposed and validated through comparison with experimental results. The constitutive relationships, i.e. overall elastic constitutive tensor and permeability, of the model are updated from phenomenological observations, exploiting the experimental data obtained for both the pure fluid and the composite material. The findings demonstrate that the proposed simplified formulation is sufficiently robust to predict and optimize the behaviour of porous media containing MRFs. Such materials hold significant promise for a wide range of engineering applications, including adaptive exosuits for human tissue and joint rehabilitation, as well as innovative structural systems.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"221 ","pages":"Article 104457"},"PeriodicalIF":5.7,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145902765","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Out-of-plane compression and energy absorption performance of twisted auxetic honeycomb tubes 扭转异形蜂窝管的面外压缩和吸能性能
IF 5.7 1区 工程技术
International Journal of Engineering Science Pub Date : 2026-03-01 Epub Date: 2025-12-04 DOI: 10.1016/j.ijengsci.2025.104435
Que Zhou , Zhihui Xu , Youjiang Cui , Kaifa Wang , Baolin Wang
{"title":"Out-of-plane compression and energy absorption performance of twisted auxetic honeycomb tubes","authors":"Que Zhou ,&nbsp;Zhihui Xu ,&nbsp;Youjiang Cui ,&nbsp;Kaifa Wang ,&nbsp;Baolin Wang","doi":"10.1016/j.ijengsci.2025.104435","DOIUrl":"10.1016/j.ijengsci.2025.104435","url":null,"abstract":"<div><div>Lightweight structures with exceptional energy absorption properties are essential for the engineering demands. Auxetic honeycombs are promising candidates for dynamic impact protection and high-performance energy absorption devices. Inspired by horsetail stems and helical geometry, this study proposes a novel twisted auxetic honeycomb tube (TAHT), which combines the advantages of auxetic structures, thin-walled tubes, and twisted configurations. The energy absorption performance of the TAHT under out-of-plane compression is investigated through experiments and numerical simulations. The influence of the optimal twist angle, multi-layer configuration, and wall thickness is further analyzed. The results show that the twist angle changes the deformation mode from parallel crushing to a unique twisting-compression mode, delaying densification and significantly enhancing energy absorption. Specifically, the TAHT with an optimal twist angle increased specific energy absorption (<em>SEA</em>) by 41.9 % and crush force efficiency (<em>CFE</em>) from 72.6 % to 78.3 % compared to a non-twisted structure. Furthermore, a multilayer configuration and increased wall thickness both improved energy absorption performance. A theoretical model derived from the super folding element theory, accurately predicts the mean crushing force (<em>F<sub>mean</sub></em>) and validates with experimental and numerical results. These findings confirm the superior energy absorption capabilities of the TAHT, offering new design insights for lightweight and high-strength metamaterials.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"220 ","pages":"Article 104435"},"PeriodicalIF":5.7,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145665627","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Effects of hematocrit levels on hemodynamics and atherosclerosis risk in the left main coronary artery: a comparative computational mechanobiological study 红细胞压积水平对左冠状动脉主干血流动力学和动脉粥样硬化风险的影响:一项比较计算力学生物学研究
IF 5.7 1区 工程技术
International Journal of Engineering Science Pub Date : 2026-03-01 Epub Date: 2025-12-08 DOI: 10.1016/j.ijengsci.2025.104446
Seyedmajid Hosseini, Mohammadhossein Abdolmohammadi, Bahar Firoozabadi
{"title":"Effects of hematocrit levels on hemodynamics and atherosclerosis risk in the left main coronary artery: a comparative computational mechanobiological study","authors":"Seyedmajid Hosseini,&nbsp;Mohammadhossein Abdolmohammadi,&nbsp;Bahar Firoozabadi","doi":"10.1016/j.ijengsci.2025.104446","DOIUrl":"10.1016/j.ijengsci.2025.104446","url":null,"abstract":"<div><div>Coronary artery disease is the leading cause of cardiovascular mortality worldwide, yet the role of altered hematocrit (Hct) in atherosclerotic plaque formation remains unclear. This study uses a mechanobiological model to computationally investigate the effect of non-Newtonian blood behavior and varying Hct on plaque formation in a three-dimensional left main coronary artery. Hct levels of 25 % (low), 45 % (normal), and 65 % (high) are investigated. The Navier–Stokes and Darcy equations are solved to model fluid flow. Coupled convection–diffusion–reaction equations for low-density lipoprotein (LDL), oxidized LDL, monocytes, macrophages, and foam cells (FC) are solved to simulate a 10-year inflammatory evolution within the arterial wall. The results reveal that as Hct increases in the non-Newtonian model, peak FC concentration within the wall decreases. After 5 years, low Hct leads to a maximum concentration that is 1.6- and 4.7-fold higher than normal and high Hct concentration respectively, and 1.2-fold higher than that in the Newtonian model. Therefore, low Hct results in maximal plaque growth. Additionally, low Hct expands the areas of high FC concentration, thereby increasing plaque burden. Moreover, in the non-Newtonian model, the ratio of peak FC concentration at 10 years to that at 5 years rises with Hct. High Hct shows a ratio that is 1.17- and 1.43-fold greater than normal and low Hct, respectively, and 1.24-fold higher than that in the Newtonian model. Therefore, high Hct accelerates plaque formation during the second half of the 10-year inflammatory process. In addition, with increasing Hct, regions of high FC concentration in the left anterior descending artery (LAD) shift from the myocardial side to the carina. These findings deepen our understanding of atherosclerosis.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"220 ","pages":"Article 104446"},"PeriodicalIF":5.7,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145697315","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Multiscale bending model of graphene based on asymmetric elasticity: The role of microscopic bond rotation in macroscopic deformation 基于非对称弹性的石墨烯多尺度弯曲模型:微观键旋转在宏观变形中的作用
IF 5.7 1区 工程技术
International Journal of Engineering Science Pub Date : 2026-03-01 Epub Date: 2025-12-13 DOI: 10.1016/j.ijengsci.2025.104434
Yekai Zhou , Xinghua Shi , Yin Zhang
{"title":"Multiscale bending model of graphene based on asymmetric elasticity: The role of microscopic bond rotation in macroscopic deformation","authors":"Yekai Zhou ,&nbsp;Xinghua Shi ,&nbsp;Yin Zhang","doi":"10.1016/j.ijengsci.2025.104434","DOIUrl":"10.1016/j.ijengsci.2025.104434","url":null,"abstract":"<div><div>Classical continuum mechanics models fail to capture some critical nanoscale deformation mechanisms, leading to significant deviations/errors in predicting the bending stiffness of two-dimensional (2D) materials. To address this, the model based on the asymmetric elasticity is developed to describe the micro-deformation of the bond rotation as well as the macroscopic bending deformation. The asymmetric elasticity originates from the imbalance between the transverse shear stress and interlayer tractions. The torque generated thereby is balanced by the bending and twisting of the bond. For the hexagonal system, a strain energy function which incorporates asymmetric tensors is derived from cyclic polynomials. By using the Reissner’s mixed variational theorem (RMVT), the Reissner plate model within the framework of asymmetric elasticity is developed. Additional parameters, which correlate with the asymmetric elasticity, are introduced compared with the classical plate theory. Although numerous continuum mechanics models are developed to describe the deformation of these hierarchical materials, the experimental validation of the model with the correspondence between the microscopic deformation mechanisms and the macroscopic continuum deformation mechanisms is quite few. The asymmetric parameters, which are the unknowns in the previous studies, are numerically extracted by the experimental data of the blister test. The governing equations are numerically solved and the comparison with the experiments demonstrates the capability of the model to accurately predict the bending behaviors of 2D materials. A multiscale asymmetric elasticity model is developed and it bridges the atomic-scale deformation mechanisms with the macroscopic bending behavior in 2D materials, which provides an insight in the mechanical modeling of 2D materials.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"220 ","pages":"Article 104434"},"PeriodicalIF":5.7,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145731279","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On wave dispersion in nonlocal simplified strain gradient elasticity 非局部简化应变梯度弹性中的波频散
IF 5.7 1区 工程技术
International Journal of Engineering Science Pub Date : 2026-03-01 Epub Date: 2025-12-13 DOI: 10.1016/j.ijengsci.2025.104431
Markus Lazar, Eleni Agiasofitou
{"title":"On wave dispersion in nonlocal simplified strain gradient elasticity","authors":"Markus Lazar,&nbsp;Eleni Agiasofitou","doi":"10.1016/j.ijengsci.2025.104431","DOIUrl":"10.1016/j.ijengsci.2025.104431","url":null,"abstract":"<div><div>In this work, wave dispersion is investigated within the framework of nonlocal simplified strain gradient elasticity theory. This theory represents a unification of Eringen’s nonlocal elasticity theory of Helmholtz type and the simplified first strain gradient elasticity theory. It incorporates two characteristic length scale parameters, namely the characteristic length <span><math><msub><mrow><mi>ℓ</mi></mrow><mrow><mi>N</mi></mrow></msub></math></span> of nonlocal elasticity of Helmholtz type and the characteristic length <span><math><msub><mrow><mi>ℓ</mi></mrow><mrow><mi>G</mi></mrow></msub></math></span> of simplified first strain gradient elasticity. The dispersion relations as well as the phase and group velocities for longitudinal and transverse acoustic waves are analytically determined. A qualitative analysis of the phase and group velocities is also presented. It is found that nonlocal simplified strain gradient elasticity can exhibit normal or anomalous dispersion depending only on the values of the two characteristic lengths. Normal dispersion occurs when <span><math><mrow><msubsup><mrow><mi>ℓ</mi></mrow><mrow><mi>N</mi></mrow><mrow><mn>2</mn></mrow></msubsup><mo>&gt;</mo><msubsup><mrow><mi>ℓ</mi></mrow><mrow><mi>G</mi></mrow><mrow><mn>2</mn></mrow></msubsup></mrow></math></span>, whereas anomalous dispersion arises when <span><math><mrow><msubsup><mrow><mi>ℓ</mi></mrow><mrow><mi>G</mi></mrow><mrow><mn>2</mn></mrow></msubsup><mo>&gt;</mo><msubsup><mrow><mi>ℓ</mi></mrow><mrow><mi>N</mi></mrow><mrow><mn>2</mn></mrow></msubsup></mrow></math></span>. It is shown that in the case of normal dispersion, nonlocal simplified strain gradient elasticity yields physically realistic dispersive wave propagation in agreement with lattice dynamics. Moreover, a match between the obtained dispersion relations and those of the Born-von Kármán lattice model is established, leading to an important relation between the two characteristic length scales.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"220 ","pages":"Article 104431"},"PeriodicalIF":5.7,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145753478","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the use of effective mass in modeling undamped mass-in-mass metamaterials 有效质量在无阻尼质量中超材料建模中的应用
IF 5.7 1区 工程技术
International Journal of Engineering Science Pub Date : 2026-03-01 Epub Date: 2025-12-10 DOI: 10.1016/j.ijengsci.2025.104447
Raffaele Capuano , Walter Lacarbonara , Muhammad R. Hajj
{"title":"On the use of effective mass in modeling undamped mass-in-mass metamaterials","authors":"Raffaele Capuano ,&nbsp;Walter Lacarbonara ,&nbsp;Muhammad R. Hajj","doi":"10.1016/j.ijengsci.2025.104447","DOIUrl":"10.1016/j.ijengsci.2025.104447","url":null,"abstract":"<div><div>The theoretical foundations of the effective mass concept in undamped mass-in-mass metamaterials are revisited to reassess its validity and physical interpretation. Within a dynamical systems framework, analytical derivations reveal that the effective mass is not an intrinsic property but a dynamic quantity linking the motion of the internal mass to the observable response of the primary mass under specific initial conditions. An infinite family of periodic orbits is identified using Poincaré maps, each characterized by an identical initial potential energy, elucidating the mathematical source of ambiguity in defining a unique effective mass. The analysis is extended to a discrete lattice of internal resonators, where a single periodic solution satisfies the periodicity constraints, confirming that the effective mass concept holds only under specific dynamic conditions.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"220 ","pages":"Article 104447"},"PeriodicalIF":5.7,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145749559","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A semi-analytical model for effective conductivity of parallelogram-periodic fibrous composites with circular inclusions 含圆形夹杂物的平行四边形周期纤维复合材料有效导电性的半解析模型
IF 5.7 1区 工程技术
International Journal of Engineering Science Pub Date : 2026-03-01 Epub Date: 2025-12-24 DOI: 10.1016/j.ijengsci.2025.104448
Raúl Guinovart-Díaz , Julián Bravo-Castillero , Manuel E. Cruz , Leslie D. Pérez-Fernández , Federico J. Sabina , David Guinovart
{"title":"A semi-analytical model for effective conductivity of parallelogram-periodic fibrous composites with circular inclusions","authors":"Raúl Guinovart-Díaz ,&nbsp;Julián Bravo-Castillero ,&nbsp;Manuel E. Cruz ,&nbsp;Leslie D. Pérez-Fernández ,&nbsp;Federico J. Sabina ,&nbsp;David Guinovart","doi":"10.1016/j.ijengsci.2025.104448","DOIUrl":"10.1016/j.ijengsci.2025.104448","url":null,"abstract":"<div><div>A two-dimensional, three-phase conducting composite with coated circular inclusions, periodically distributed in a parallelogram lattice, is analyzed. The phases are isotropic, with perfect contact at interfaces. The effective behavior is characterized by combining asymptotic homogenization with analytic function theory. Local problems are solved using a series expansion involving Weierstrass elliptic functions and their derivatives, with undetermined complex coefficients. Effective coefficients follow from the residue of this solution, expressed via products of infinite-dimensional vectors and matrices. Unified analytical formulas valid for any parallelogram periodic cell are derived through systematic truncation. Explicit expressions are provided for two-phase fibrous composites with perfect or imperfect interfacial contact. The results allow determination of the critical normalized interfacial thickness and conductivity enhancement in composites with annular cross sections. Gains in the effective conductivity tensor, linked to thermal barriers and parallelogram periodicity, are examined through reiterated homogenization. The model is validated through numerical examples and by comparison to available bounds showing excellent agreement up to percolation. The programs for computation are provided in an open-access repository.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"220 ","pages":"Article 104448"},"PeriodicalIF":5.7,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145823306","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Impact-governed dynamics of an axially-incompressible bistable continuous metastructure 轴向不可压缩双稳连续元结构的冲击控制动力学
IF 5.7 1区 工程技术
International Journal of Engineering Science Pub Date : 2026-03-01 Epub Date: 2025-12-07 DOI: 10.1016/j.ijengsci.2025.104436
Andrea Nobili , Dipendu Pramanik
{"title":"Impact-governed dynamics of an axially-incompressible bistable continuous metastructure","authors":"Andrea Nobili ,&nbsp;Dipendu Pramanik","doi":"10.1016/j.ijengsci.2025.104436","DOIUrl":"10.1016/j.ijengsci.2025.104436","url":null,"abstract":"<div><div>We study the dynamics of a bistable Single Degree of Freedom mechanism that bifurcates from the trivial straight configuration when subjected to a critical traction force and it is otherwise incompressible. We show that the appearance of “impacts”, in correspondence with the minimum axial extension of the system, merely reflects the adoption of the axial extension as the dependent variable, as opposed to the angular rotation. Within this description, the structure realizes a perfectly elastic obstacle. Next, we construct the continuous limit for a dense chain of such mechanisms and axial strain naturally emerges as the continuous dependent field. Consequently, an unilateral constraint becomes associated with the system. Most importantly, the corresponding Lagrangian problem needs to be supplemented by energy conservation across the impacts to faithfully represent the underlying microstructure. In doing so, we generalize the established procedure to construct the continuous limit of a dense chain of discrete systems to the presence of unilateral constraints. Remarkably, energy conservation allows to apply Hamilton’s principle in the form of a variational <em>equality</em>, in contrast to the inequality format usually encountered when dealing with non-smooth problems. This important result, which greatly simplifies the mathematics, is available provided that variations are extended to accommodate for discontinuities in the variables. Besides, the system dynamics may be now constructed semi-analytically by joining pairs of d’Alembert’s solutions through the conditions obtained from the extended variational principle at the impact time and location (which are obviously unknown). As a result, waves propagating in the system are obtained and they are checked against global energy conservation.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"220 ","pages":"Article 104436"},"PeriodicalIF":5.7,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145697316","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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