European Journal of Mechanics A-Solids最新文献

{"title":"On the torsional vibration of a porous nanorod with arbitrary boundary conditions considering nonlocal lam strain gradient theory","authors":"Murat Akpınar ,&nbsp;Uğur Kafkas ,&nbsp;Büşra Uzun ,&nbsp;Mustafa Özgür Yaylı","doi":"10.1016/j.euromechsol.2025.105610","DOIUrl":"10.1016/j.euromechsol.2025.105610","url":null,"abstract":"<div><div>Porous materials are an important type of advanced materials due to their excellent properties, with one of the most notable being their lightweight nature. It is also important to accurately understand the mechanical response of nanorods, one of the components of nano-electro-mechanical systems. Therefore, a porous material is considered for the nanorod and elastic boundary conditions are considered, which presents a more realistic model. In order to provide a general eigenvalue solution based on these boundary conditions, an approach based on Fourier sine series and Stokes’ transform is considered. The main novelty of this eigenvalue solution, which calculates the torsional frequencies of the porous nanorod, lies in its ability to analyze both rigid and deformable boundary conditions. Although the analysis of other types of rods under arbitrary boundary conditions has been performed in the literature, the torsional vibration of porous nanorods based on nonlocal Lam strain gradient theory presented in this work is the first. To summarize the key findings of the study, it can be said that an increase in the nonlocal parameter and the porosity parameter which affects the shear modulus, cause a decrease in the torsional vibrations of the porous nanorod. On the other hand, an increase in the material length scale parameters, the spring stiffnesses at the ends and the porosity parameter, which causes the alters the mass density, results in an increase in the vibration frequencies.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105610"},"PeriodicalIF":4.4,"publicationDate":"2025-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143429695","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Modelling of anisotropic high-cycle fatigue of metals","authors":"Reijo Kouhia ,&nbsp;Niels Saabye Ottosen ,&nbsp;Matti Ristinmaa ,&nbsp;Arturo Rubio Ruiz ,&nbsp;Sami Holopainen ,&nbsp;Timo Saksala","doi":"10.1016/j.euromechsol.2025.105601","DOIUrl":"10.1016/j.euromechsol.2025.105601","url":null,"abstract":"<div><div>A continuum approach for anisotropic high-cycle fatigue modelling for metals is described. The approach is based on the idea of an endurance surface moving in the stress space where the movement is described by a back-stress tensor. The movement of the endurance surface is governed by an evolution equation. Thereby, the back stress tensor memorizes the load history so that fatigue damage accumulation can be easily calculated under arbitrary complex loading conditions without cycle counting techniques. Orthotropy and transverse isotropy are treated using the invariant theory. Anisotropic forms for both endurance function and evolution equations for the back stress and damage, are considered. It is also shown that for proportional loading and infinite life time this approach leads to generalizations of Sines criterion to orthotropy and transverse isotropy. Identification of the model parameters is carried out for metallic materials with the experimental results available in the literature.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105601"},"PeriodicalIF":4.4,"publicationDate":"2025-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143419859","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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":"Constitutive modeling for the creep-ratcheting interaction of 0Cr18Ni10Ti stainless steel at high temperature","authors":"Jian Li ,&nbsp;Jia Chen ,&nbsp;Yuxuan Liu ,&nbsp;Wei Jiang ,&nbsp;Qianhua Kan","doi":"10.1016/j.euromechsol.2025.105602","DOIUrl":"10.1016/j.euromechsol.2025.105602","url":null,"abstract":"<div><div>The 0Cr18Ni10Ti stainless steel serves as a crucial component in the construction of reactor piping, which is subjected to complex cyclic loadings at high temperatures. Hence, undertaking both experimental observation and computational modeling to explore the cyclic deformation behavior of this material is of significant importance. Cyclic experimental investigations of 0Cr18Ni10Ti stainless steel with various holding waveforms and holding times were conducted at 623 K. The results reveal that the holding variables influence on the cyclic responses, presenting a creep-ratcheting interaction. A nonlinear static recovery factor is integrated into the kinematic hardening equation within a unified visco-plastic (UVP) framework to assess the effects of these holding variables on creep-ratcheting interaction. Additionally, a nonlinear static recovery factor associated with isotropic resistance is incorporated into the isotropic hardening equation to account for the stress relaxation during holding intervals. The derived results demonstrate that this modified UVP constitutive model can reasonably simulate the creep-ratcheting interaction of 0Cr18Ni10Ti stainless steel at 623 K. Particularly, it accurately captures the stress amplitude evolution observed during sustained peak strain and the ratcheting strain accumulation while maintaining peak stress. The proposed model provides a fundamental basis for evaluating the cyclic deformation responses of 0Cr18Ni10Ti stainless steel, as used within nuclear reactor environments.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105602"},"PeriodicalIF":4.4,"publicationDate":"2025-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143419858","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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-linear deformation mechanism of circular thin film/substrate systems under film stress","authors":"Haijun Liu ,&nbsp;Minghui Dai ,&nbsp;Xiaoqing Tian ,&nbsp;Shan Chen ,&nbsp;Fangfang Dong ,&nbsp;Jiang Han","doi":"10.1016/j.euromechsol.2025.105608","DOIUrl":"10.1016/j.euromechsol.2025.105608","url":null,"abstract":"<div><div>The standard practice of assuming spherical deformation to relate film stress and deformation in thin film/substrate systems proves increasingly inaccurate with larger deformations. This study proposes a paradigm shift, adopting a model that captures the intricate nuances of large deformations through a quadratic curvature function. Based on this, the deformation mechanism of circular thin film/substrate systems is studied and it was found that when the deformation is large, the circumferential compression caused by the radial displacement cannot be ignored, resulting in the loss of radial force balance. The film on the substrate continues to bend until the forces reach equilibrium. This results in a progressive increase in the bending curvature, gradually growing outwards from the center towards the edges. The relationship between stress and deformation is derived through the theory of elasticity and the substrate stress changes significantly along the radial direction. The solved deformation and the stress states agree well with those obtained by finite element method. This novel method boasts its applicability across both linear and non-linear deformation regimes within circular film/substrate systems. It seamlessly transitions back to the classical Stoney formula in the linear limit, demonstrating its compatibility with established theoretical frameworks.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105608"},"PeriodicalIF":4.4,"publicationDate":"2025-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143395527","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 chemomechanical coupling model for diffusion and stress analysis in polymer-based anti-corrosion coatings","authors":"Liangji Ma ,&nbsp;Bo Zhang ,&nbsp;Yin Yao ,&nbsp;Zhilong Peng ,&nbsp;Dawei Li ,&nbsp;Shaohua Chen","doi":"10.1016/j.euromechsol.2025.105603","DOIUrl":"10.1016/j.euromechsol.2025.105603","url":null,"abstract":"<div><div>The phenomenon of chemomechanical coupling significantly impacts the service performance and lifespan of organic anti-corrosion coatings. Due to differences in matrix materials, the chemomechanical coupling mechanism in organic anti-corrosion coatings is different from that in metal-based materials. How to accurately characterize the chemomechanical coupling behavior in organic anti-corrosion coatings has become an important issue. In this work, a new theoretical model of strong chemomechanical coupling is established for polymer-based anti-corrosion coatings, in which the stress-dependent chemical potential gradient is employed as the fundamental driving force for diffusion and the influence of stress on the diffusion coefficient is considered based on the concept of free volume theory. The model is further utilized to examine the distribution and evolution of the chemomechanical coupling field within a polymer-based anti-corrosion coating system under external loading. Compared with the analysis results of existing weak coupling models, it is found that strong chemomechanical coupling significantly affects the diffusion rate of substances, which in turn affects the concentration field and stress field within the coating. In addition, this model can also explain the experimental result that hydrostatic pressure diminishes the diffusion coefficient. The proposed strong coupling model should be significant in precisely analyzing the diffusion process and mechanical properties of materials or structures in chemomechanical coupling environments.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105603"},"PeriodicalIF":4.4,"publicationDate":"2025-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143373073","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 3D micromechanical model for hyperelastic rubber-like materials and its numerical resolution by the Asymptotic Numerical Method (ANM)","authors":"Ayoub Ouardi ,&nbsp;Abdellah Hamdaoui ,&nbsp;Makrem Arfaoui ,&nbsp;Adnane Boukamel ,&nbsp;Noureddine Damil","doi":"10.1016/j.euromechsol.2025.105594","DOIUrl":"10.1016/j.euromechsol.2025.105594","url":null,"abstract":"<div><div>In this work, a <span><math><mrow><mn>3</mn><mi>D</mi></mrow></math></span> micromechanical model is developed to describe the behavior of macromolecular chains and to reflect the hyperelastic behavior of rubber-like materials. This model generalizes the <span><math><mrow><mn>2</mn><mi>D</mi></mrow></math></span> model recently developed in Ouardi (2023). The behavior law is defined by the minimization of a potential energy, each macromolecular chain has been represented by elastic segments linked by nonlinear elastic spiral nodes. We thus obtain a model with only three characteristic parameters. We investigate, in the <span><math><mrow><mn>3</mn><mi>D</mi></mrow></math></span> case, the effect of the number of macro-chain segments and the shape of the Representative Volume Element (RVE) using a high-order algorithm of the family of the Asymptotic Numerical Method (ANM) (Cochelin, 2007). In the ANM algorithm, the solution of the nonlinear problem is sought branch by branch, each branch being represented by a Taylor series. In this way, this high-order algorithm makes it easier to continuously investigate the solution curves. Numerical simulations are presented on different RVEs, four and eight chains models (Arruda and Boyce, 1993), under three types of boundary conditions: uniaxial tension, pure shear and equibiaxial tension. These numerical simulations are compared with experimental data from Treloar (1944) to identify the parameters material and to demonstrate the robustness of the proposed model. The studied chains models show a slight influence of the number of macro-chains and the number of segments in the RVE.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105594"},"PeriodicalIF":4.4,"publicationDate":"2025-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143395526","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Experimental and micromechanical investigation of precipitate size effects on the creep behaviour of a high chromium martensitic steel","authors":"Jun-Dong Yin ,&nbsp;Lei Wang ,&nbsp;Bao-Yin Zhu ,&nbsp;Xiao Jin ,&nbsp;Chen-Feng Li ,&nbsp;Esteban P. Busso ,&nbsp;Dong-Feng Li","doi":"10.1016/j.euromechsol.2025.105591","DOIUrl":"10.1016/j.euromechsol.2025.105591","url":null,"abstract":"&lt;div&gt;&lt;div&gt;This work involves a mechanistic investigation of the high temperature behaviour of a commercial high-Cr martensitic steel (P91), focussing particularly on the size effects of &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mtext&gt;M&lt;/mtext&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;23&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mtext&gt;C&lt;/mtext&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;6&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; carbides. To that purpose, a combination of microstructural observations, experimental measurements and crystal plasticity-based investigations of representative polycrystal aggregates of the steel microstructure are carried out. The tempered martensitic steel was found to exhibit a complex microstructure with hierarchical arrangements, including packets (10–&lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mn&gt;50&lt;/mn&gt;&lt;mspace&gt;&lt;/mspace&gt;&lt;mi&gt;μ&lt;/mi&gt;&lt;mi&gt;m&lt;/mi&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;), blocks (2–&lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mn&gt;10&lt;/mn&gt;&lt;mspace&gt;&lt;/mspace&gt;&lt;mi&gt;μ&lt;/mi&gt;&lt;mi&gt;m&lt;/mi&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;) and laths (0.2–&lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mspace&gt;&lt;/mspace&gt;&lt;mi&gt;μ&lt;/mi&gt;&lt;mi&gt;m&lt;/mi&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;), and dispersed nanoscale MX-like precipitates and M&lt;sub&gt;23&lt;/sub&gt;C&lt;span&gt;&lt;math&gt;&lt;msub&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;6&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/math&gt;&lt;/span&gt; carbides. The effects of the tempering treatment duration on both the creep behaviour of the steel at 600 °C and the &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mtext&gt;M&lt;/mtext&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;23&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mtext&gt;C&lt;/mtext&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;6&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; carbide size were experimentally characterised. The results revealed that the size of the &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mtext&gt;M&lt;/mtext&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;23&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mtext&gt;C&lt;/mtext&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;6&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; carbides increases with tempering time, resulting in a degradation of the material’s creep resistance.&lt;/div&gt;&lt;div&gt;A novel multi-scale micromechanics-based modelling framework is proposed to describe the measured phenomena. It relies on representative microstructural models of the martensitic steel digitally reconstructed from EBSD measurements, and on a rate-dependent crystal plasticity formulation to describe the inelastic behaviour of the individual martensitic blocks. The latter also incorporates the effects of precipitate size into the internal slip system variable, viz. the slip resistance, through a strengthening term that is inversely proportional to the mean carbide diameter. The crystal plasticity formulation has been implemented numerically into the finite element method and calibrated from data obtained in this work. It is shown that predictions of the polycrystalline aggregate creep response are consistent with the experimental data for a relatively wide range of stress levels and temperatures. Furthermore, the predicted strong effect of carbide size on the steady state creep rate is analysed further to interpret its role on the typically observed scatter on the martensitic steel’s creep data in the 600 to 650 °C temperature range. Finally, the predicted equivalent ine","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105591"},"PeriodicalIF":4.4,"publicationDate":"2025-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143376435","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Investigation on structural design and grounding characteristics of two dimensional double-U honeycomb non-pneumatic tires","authors":"Liguo Zang ,&nbsp;Xinlei Peng ,&nbsp;Jing Sun ,&nbsp;Song Cui ,&nbsp;Yuxing Bai","doi":"10.1016/j.euromechsol.2025.105599","DOIUrl":"10.1016/j.euromechsol.2025.105599","url":null,"abstract":"<div><div>Non-pneumatic tires (NPTs) are subjected to cyclic tension-compression loads during rolling. To address the issues of poor auxetic characteristics and short service life in traditional NPTs, this paper proposes a two dimensional double-U honeycomb (2D DUH) NPT with negative Poisson's ratio (NPR) support structure. Firstly, the support structure for NPT is designed based on the NPR structure of two dimensional double-U unit cells. Then, two typical tire grounding conditions, bottom grounding and top grounding of U-shaped unit cells, are selected according to the structure of the NPT's support part and the grounding characteristics of the tire is investigated. Finally, the influences of height ratio and density of 2D DUH unit cells on tire grounding characteristics are investigated. The results show that the support structure of the grounding part of the 2D DUH NPT has a tendency to shrink inward when compressed by the radial load, increasing the radial stiffness. In addition, the lower ground stress of 2D DUH NPTs increases their service life. The support structure composed of low height ratio and high unit cell density can effectively improve the load-bearing performance and driving stability of 2D DUH NPTs. The results provide a theoretical basis and reference for the structural design of NPTs.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105599"},"PeriodicalIF":4.4,"publicationDate":"2025-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143271103","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Hysteresis characteristics of entangled porous metallic pseudo-rubber under complex topological structures and thermomechanical coupling effects","authors":"Qinwei Wang ,&nbsp;Zhiying Ren ,&nbsp;Linwei Shi ,&nbsp;Zihao Huang ,&nbsp;Shaotong Feng ,&nbsp;Shuaijun Li","doi":"10.1016/j.euromechsol.2025.105597","DOIUrl":"10.1016/j.euromechsol.2025.105597","url":null,"abstract":"<div><div>Entangled porous metallic pseudo-rubber (EPMPR) is formed by interlaced helical metal wires, and its unique structure can convert mechanical vibration energy into heat, providing significant damping effects. This study innovatively proposes a method for constructing the elastic hysteresis curve of EDMMR at the physical level, and decomposes and extracts the hysteresis curve using virtual manufacturing technology (VMT). Based on finite element numerical calculation nodes, this study constructs the stiffness curve of EPMPR's series-parallel structure, and considers the contact behavior of EPMPR, especially under high-temperature conditions, through dynamic evolution analysis of discretized numerical models of spatial contact behavior, further studying its damping hysteresis behavior. Specifically, this study also proposes for the first time and comprehensively analyzes the dynamic and static parameters of EPMPR under different temperatures and loads, providing in-depth insights into its mechanical behavior and energy dissipation mechanisms. Experimental results demonstrate that under the complex topology structure and thermomechanical coupling, the elastic hysteresis curve of EPMPR can accurately predict its damping characteristics under different high-temperature environments, providing a theoretical foundation for EPMPR's application in advanced equipment and structural extreme environments.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105597"},"PeriodicalIF":4.4,"publicationDate":"2025-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143376433","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 inadequacy of a stepped-beam approach in predicting shear stresses in tapered slender solids","authors":"Giovanni Migliaccio ,&nbsp;Francesco D’Annibale","doi":"10.1016/j.euromechsol.2025.105590","DOIUrl":"10.1016/j.euromechsol.2025.105590","url":null,"abstract":"<div><div>The stress state in slender elastic cylinders with a straight axis and tapered cross-sections is investigated. Compared to the de Saint-Venant’s cylinder, the continuous variation in the dimensions of the cross-sections along the cylinder’s axis results in additional, non-trivial shear stress distributions within the cross-sections. This paper analytically investigates the dependence of these stresses on taper, a topic of significant practical interest for the design of tapered structural elements commonly employed in various engineering applications, such as components of wind turbines, aircraft, and bridges. The analytical study in this paper is based on a set of partial differential equations and boundary conditions, derived in a recent work, that govern the stress state in three-dimensional tapered cylinders undergoing cross-sectional warping, in- and out-of-plane. A new analytical solution is derived for rectangular cross-sectioned tapered cylinders, resembling the shear webs of large wind turbine blades, with external loads applied at the ends. By examining this paradigmatic case, the inadequacy of approaches based on stepped-beam models in predicting shear stresses in tapered slender solids is demonstrated analytically. Numerical examples, including comparisons to results from the literature and benchmark solutions based on finite element methods, are also provided and corroborate the analytical findings of this study.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105590"},"PeriodicalIF":4.4,"publicationDate":"2025-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143136062","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}