{"title":"Exact solutions of the Euler–Bernoulli equation for selected polynomially non-uniform beams used for acoustic black holes","authors":"Antonin Krpensky, Michal Bednarik","doi":"10.1016/j.ijsolstr.2025.113468","DOIUrl":"10.1016/j.ijsolstr.2025.113468","url":null,"abstract":"<div><div>In this work, we present a method for obtaining exact analytical solutions to the Euler–Bernoulli equation for nonuniform beams with continuously varying rectangular cross-sections. The approach is based on factorizing the fourth-order equation into a system of second-order differential equations with variable coefficients. Focusing on polynomial expressions for the cross-sectional profile, we show that such factorization is possible only when the profile is described by a polynomial of at most third order. In the general cubic case, the resulting equation transforms into Heun’s differential equation; in degenerate cases, it reduces to the hypergeometric or Bessel equations, all of which admit closed-form solutions. To demonstrate the method’s applicability, we compute reflection coefficients for selected profiles relevant to Acoustic Black Holes and validate the analytical results using a Riccati-based numerical method, showing excellent agreement.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"320 ","pages":"Article 113468"},"PeriodicalIF":3.4,"publicationDate":"2025-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144239992","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}
B. Manjarrez-Montañez , R.A. Méndez-Sánchez , Y. Betancur-Ocampo , A.M. Martínez-Argüello
{"title":"Band structure engineering of coupled-resonator phononic polyacetylene and polyaminoborane","authors":"B. Manjarrez-Montañez , R.A. Méndez-Sánchez , Y. Betancur-Ocampo , A.M. Martínez-Argüello","doi":"10.1016/j.ijsolstr.2025.113435","DOIUrl":"10.1016/j.ijsolstr.2025.113435","url":null,"abstract":"<div><div>A methodology for constructing a quasi-one-dimensional coupled-resonator phononic metamaterial is presented. This is achieved through the design of artificial phononic analogs of two molecular structures: trans-polyacetylene and trans-polyaminoborane. The band structure of trans-polyacetylene is analyzed in relation to the Su–Schrieffer–Heeger (SSH) model, while that of trans-polyaminoborane is examined using the <span><math><mi>κ</mi></math></span>-deformed Dirac equation, both within a tight-binding framework. Additionally, the obtained finite realization of the artificial trans-polyacetylene exhibits topologically protected states.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"320 ","pages":"Article 113435"},"PeriodicalIF":3.4,"publicationDate":"2025-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144255037","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}
Gabriel Edefors , Fredrik Larsson , Karin Lundgren
{"title":"Computational homogenization for predicting the effective response of planar textile-reinforced concrete shells","authors":"Gabriel Edefors , Fredrik Larsson , Karin Lundgren","doi":"10.1016/j.ijsolstr.2025.113472","DOIUrl":"10.1016/j.ijsolstr.2025.113472","url":null,"abstract":"<div><div>Textile-reinforced concrete (TRC) exhibits a complex mechanical response, necessitating accurate and advanced models for analysis. This work shows the possibilities to model TRC using a two-scale approach. On the sub-scale, the response is predicted using Representative Volume Elements (RVEs), where the textile yarns are resolved. This approach makes it possible to capture the effects of bond–slip, interfilament slip, as well as concrete cracking and crushing. The large-scale plate response, in terms of membrane forces and bending moments, is obtained by homogenizing the results from the RVE using Kirchhoff plate kinematics. The outcome shows the possibilities of obtaining effective large-scale responses for varying sub-scale configurations. In this way, we omit the need for re-calibrating the large-scale model for every new reinforcement configuration. The scale-bridging framework developed in this work can be employed in large-scale plate and shell models to predict the effective constitutive response of TRC.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"320 ","pages":"Article 113472"},"PeriodicalIF":3.4,"publicationDate":"2025-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144239994","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":"Revealing the (positive) role of porosity within polymeric additively manufactured lattices via X-ray computed tomography","authors":"Danilo Bruson , Itziar Serrano-Munoz , Tobias Fritsch , Henning Markötter , Manuela Galati","doi":"10.1016/j.ijsolstr.2025.113488","DOIUrl":"10.1016/j.ijsolstr.2025.113488","url":null,"abstract":"<div><div>The mechanical properties of lattice geometries are known to be significantly influenced by a variety of manufacturing defects. This study investigates the influence of porosity on the mechanical behaviour of strut-based body-centred cubic (BCC) lattice structures produced with powder bed fusion with laser beam PBF-LB/P using PA2200 nylon powder. The study combines advanced techniques, including in-situ laboratory X-ray computed tomography (XCT), synchrotron XCT to visualise pores and roughness in high resolution at a single-cell level and image-based finite element analysis (FEA). The findings show that failure in thin-walled AM lattices is governed by the combined effects of porosity morphology, location, surface roughness, and cross-section reduction. The presence of internal porosity is found to attenuate both the amplitude of elastic modulus fluctuations and the severity of stress concentrations induced by surface irregularities.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"320 ","pages":"Article 113488"},"PeriodicalIF":3.4,"publicationDate":"2025-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144239993","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":"Thermodynamically consistent phase-field modeling for polycrystalline multi-phase continua","authors":"Hendrik Westermann, Rolf Mahnken","doi":"10.1016/j.ijsolstr.2025.113465","DOIUrl":"10.1016/j.ijsolstr.2025.113465","url":null,"abstract":"<div><div>The macroscopic material properties of steels are affected by microstructure evolution during hot-forming. Phase transformations, carbide precipitation, and recrystallization are examples of the relevant phenomena. Most engineering components require high strength and sufficient residual ductility to withstand mechanical loads and to provide favorable manufacturing conditions. One way to achieve this state is a microstructure composed of bimodal grains. The key contribution of the present manuscript is the proposition of a prototype model for an existing thermodynamic framework, combining two phase-field approaches for the numerical investigation of recrystallization effects. The developed prototype model captures phase transformations, carbon diffusion, and carbide precipitation during static recrystallization. A combined phase-field approach models the microstructure evolution driven by temperature, curvature effects and stored energy effects. The corresponding order parameters are fractions of ferrite, martensite, and carbide phases as well as grain orientation and microstructure crystallinity describing grain boundary movement. The grain boundary evolution is captured by a Kobayashi–Warren–Carter approach. The prototype model builds upon a generalized framework on thermodynamics and captures grain boundary motion in multi-phase continua. This yields a novel constitutive framework capable of describing the complex material behavior of metals during recrystallization annealing. To demonstrate the evolution of phase fractions and carbide precipitation, conclusive two-dimensional phase-field simulations are solved with the finite-element method.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"320 ","pages":"Article 113465"},"PeriodicalIF":3.4,"publicationDate":"2025-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144213283","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":"The fretting fatigue crack propagation life prediction of Ti–6Al–4V by a two-stage dislocation-based model","authors":"Xiang Liu, Dasheng Wei, Xiyuan Zhang, Shun Yang","doi":"10.1016/j.ijsolstr.2025.113460","DOIUrl":"10.1016/j.ijsolstr.2025.113460","url":null,"abstract":"<div><div>An accurate and rapid assessment of the fretting fatigue life of titanium alloys is essential for evaluating the structural integrity of aviation engine components. A two-stage fatigue crack propagation model for Microstructurally-Small Crack(MSC), Physically-Small Crack(PSC) and Long Crack(LC) was developed based on dislocation theory, incorporating cyclic plastic stress correction and crack closure effects. An averaging method was introduced to derive the microscopic parameters within the model, which was subsequently applied to fit fatigue crack propagation data (including short cracks, near-threshold long cracks, and steady-state long crack propagation) for Ti–6Al–4V. The results indicate that the deceleration effect exhibited by MSC at grain boundaries is a critical factor warranting attention. A fretting fatigue test was designed specifically for Ti–6Al–4V, with the contact stress field computed using finite element analysis. The elastic principal stress field at the contact edge can be categorized into three distinct regions based on varying stress characteristics. Fatigue cracks typically initiate in high-stress gradient areas near the contact edge and propagate inward under elevated shear stress within the transition zone. Utilizing this proposed model, predictions regarding Ti–6Al–4V’s fretting fatigue crack propagation life were made; these predictions closely align with experimental findings, predominantly falling within two standard deviations of the scatter band. These results demonstrate that MSC stage propagation significantly influences overall fatigue life under low-load conditions (approaching fatigue limits). This finding underscores our model’s robust explanatory and predictive capabilities concerning fretting fatigue life.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"320 ","pages":"Article 113460"},"PeriodicalIF":3.4,"publicationDate":"2025-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144203357","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":"Rigid-foldable tapered multi-tubular structures by extending type III Bricard octahedra","authors":"Yucai Hu, Yongliang Luo, Ping Zhao","doi":"10.1016/j.ijsolstr.2025.113452","DOIUrl":"10.1016/j.ijsolstr.2025.113452","url":null,"abstract":"<div><div>This paper investigates the construction and kinematics of rigid-foldable tapered multi-tubular structures derived from type III Bricard octahedra (BOIII). The partially folded BOIII can be recursively extended in the longitudinal direction to form larger tapered tubes. We further introduce a novel transverse extension of the BOIII, enabling the formation of composite BOIIIs with a single degree of freedom. When longitudinally extended, the composite BOIIIs generate rigid-foldable multi-tubular structures. Specifically, we examine plane-symmetric multi-tubular structures and demonstrate the creation of structures with adjustable zigzag and spiral profiles by varying input sector angles. Like the BOIII, these multi-tubular structures exhibit two distinct collapsible or flat states, allowing for compact storage and a large deployment ratio. Both sides of these structures are origami patterns that are free from self-intersection at the initial flat state, facilitating efficient fabrication through folding and subsequent assembly. The resulting multi-tubular structures have potential applications in reconfigurable heat and air conduction tubes, robotic arms, meta-materials, and architectural design.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"320 ","pages":"Article 113452"},"PeriodicalIF":3.4,"publicationDate":"2025-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144231293","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}
Suyang Zhong, Tao Li, Shenfei Liao, Hua Fu, Qingpeng Ma
{"title":"A viscoelastic-plastic constitutive model for mechanical response of plastic-bonded explosive","authors":"Suyang Zhong, Tao Li, Shenfei Liao, Hua Fu, Qingpeng Ma","doi":"10.1016/j.ijsolstr.2025.113466","DOIUrl":"10.1016/j.ijsolstr.2025.113466","url":null,"abstract":"<div><div>A novel viscoelastic-plastic constitutive model is developed to predict the inelastic deformation of plastic-bonded explosive (PBX). The strain rate effect on shear and bulk moduli is described through a generalized Maxwell model. A hyperbolic Drucker-Prager (D-P) criterion incorporating dual hardening variables to resolve the strength influence by tension–compression asymmetry and strain rate. A non-associative flow rule is proposed to describe dilatancy-coupled plastic flow. Finite element implementation demonstrated exceptional predictive capability. The calculated results of the uniaxial tension and compression stress–strain curves, as well as the volumetric stress and volumetric strain curves under different strain rate conditions, are in good agreement with the experimental results.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"320 ","pages":"Article 113466"},"PeriodicalIF":3.4,"publicationDate":"2025-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144184940","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":"Homogenization of the yield surface of body-centered cubic and octet lattice structures under multiaxial loadings","authors":"Zhi Chen, Dan Mordehai","doi":"10.1016/j.ijsolstr.2025.113486","DOIUrl":"10.1016/j.ijsolstr.2025.113486","url":null,"abstract":"<div><div>Lattice structures are gaining increasing popularity, owing to their superior mechanical properties per weight. Modelling these structures is computationally demanding, and homogenizing their mechanical response is a promising approach to model porous materials. While attention is paid to the elastic response, the yield surface is less discussed, especially in multiaxial loading conditions. In this study, we consider body-centered cubic (BCC) and octet lattice structures as two representative structures, and explore yield criteria for a homogenized model. We use finite element modelling (FEM) to simulate lattices under various loading conditions: uniaxial compression, simple shearing, proportional biaxial and triaxial loadings, and define the yield states based on the principle of equivalent plastic work. Both BCC and octet structures obey anisotropic yielding, while BCC is stronger in shearing than in compression direction, making it more anisotropic. We explore different homogenized yield criteria and find that Liu–Huang–Stout yield criterion, with unsigned mean stress term, is the most comparable to the simulation results. This model, which is anisotropic and considers a linear dependence of mean stress, was found to be the best candidate to describe the multiaxial plastic behavior of lattice structures.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"320 ","pages":"Article 113486"},"PeriodicalIF":3.4,"publicationDate":"2025-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144239995","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":"Quantification of the role of surface on the response of crack in two-dimensional Couple stress elasticity","authors":"Shankar N. Mahendru, Tanmay K. Bhandakkar","doi":"10.1016/j.ijsolstr.2025.113442","DOIUrl":"10.1016/j.ijsolstr.2025.113442","url":null,"abstract":"<div><div>Utilizing distributed dislocation technique, role of surface on the response of crack in Couple stress elasticity is analysed through two configurations in a half-plane undergoing plane strain deformation: (i) buried full crack and (ii) edge crack; both normal to the free surface, subjected to far-field mode-I and mode-II loading. As a part of the quantification of surface’s contribution, measures of fracture particularly crack-opening displacement, stress-intensity factor and energy release rate are computed as a function of nearness of crack to the free surface, crack length, characteristic length and contrasted against the result in an infinite plane as well as the corresponding result in classical linear elasticity. The present study can offer design guidelines for fault tolerant design of elastic systems displaying size effect.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"320 ","pages":"Article 113442"},"PeriodicalIF":3.4,"publicationDate":"2025-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144178361","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}