{"title":"On nonlinear vibrations of Timoshenko FG porous micropipes in thermal environment: analysis and optimization","authors":"Mohammad Ali Sabahi, Ali Reza Saidi","doi":"10.1007/s10999-025-09764-6","DOIUrl":"10.1007/s10999-025-09764-6","url":null,"abstract":"<div><p>This study focuses on an optimization analysis of the nonlinear free vibration of a functionally graded porous micropipe conveying fluid in uniform steady thermal environment using the Timoshenko beam theory. The nonlinear equations of motions are derived based on the modified strain gradient elasticity theory and Von–Kármán’s strain relations. By means of the Galerkin method, the nonlinear partial differential equations of motion are transferred into an ordinary 4<sup>th</sup>-order nonlinear ordinary differential equation. An analytical closed-form solution for this nonlinear differential equation has been presented using homotopy analysis method. As a consequent, closed–form expressions for the nonlinear critical flow velocity, time history and <i>n</i><sup>th</sup> nonlinear frequency are obtained. The exact solution for the critical flow velocity of the micropipe resting on elastic foundation has been used to find the optimum pipe length. The results illustrate as the micropipe’s length increases, the nonlinear frequency significantly drops for short micropipes but it decreases slightly for longer ones. Additionally, in high temperatures, the nonlinear frequency is less affected by the variation of the power-law exponent. Furthermore, in the absence of elastic substrate, the critical fluid velocity decreases with increasing the microtube length. However, when the microtube is placed on an elastic substrate, the optimum value of the microtube length is observed in higher mode shapes.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"21 4","pages":"799 - 821"},"PeriodicalIF":3.6,"publicationDate":"2025-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145167375","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Modelling and damage evaluation of glass fiber-reinforced aluminium laminates subjected to quasi-static indentation","authors":"Rasheeda P., Rahul Singh Sikarwar","doi":"10.1007/s10999-025-09753-9","DOIUrl":"10.1007/s10999-025-09753-9","url":null,"abstract":"<div><p>The present work involves a finite element simulation of Glass-reinforced aluminium laminate (GLARE) subjected to quasi-static loading to predict the damage modes using a cohesive zone model (CZM) while considering frictional effects between interfaces as well as indentor and laminate. The CZM, which involves cohesive elements and cohesive surface accompanied with frictional effect is the novelty of the work. Considering frictional effects at every dissimilar interfaces such as Al and composites as well as between the indentor and the surface of the laminate improves the accuracy of the damage prediction. Also, the addition of the in-plane failure modes of the composite in the GLARE laminate using continuum shell element, enabled us to study the combined effect between in-plane damage and out-of-plane delamination simultaneously. The response of CZM was governed by bilinear traction separation law to predict the initiation of damage based on quadratic failure criterion and evolution of damage was predicted based on mixed mode B-K criteria, which used a linear function of average through-thickness stresses. Prediction of plasticity, ductile and shear modes for damage of the aluminium alloy were obtained by using Johnson–Cook and shear criteria respectively. Initiation of failure of the composites were predicted by Hashin damage criteria. While the damage evolution of aluminium and composite were predicted using fracture toughness applying linear softening behaviour. A finite element model was developed based on the crack band theory and viscous regularization scheme respectively using the commercially available Abaqus/Explicit finite element solver. The experimentally obtained force versus displacement (F-D) curves for the quasistatic loading were analysed, to obtain the type and sequence of the damage. The FE simulation predicted results for type and sequence of damage which were compared with experimental results. Considering the frictional effect resulted in high delamination at the bottom layers and less delamination at the top layer as compared with prediction without frictional effect which is better prediction with experimental results. In addition, the extent of the damage was investigated using ultrasonic A and C-scan techniques. The numerical and experimental results in terms of F-D curves, size and shape of the delamination were found to be in good agreement.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"21 4","pages":"823 - 847"},"PeriodicalIF":3.6,"publicationDate":"2025-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145166115","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Thermomechanical buckling of magneto-electro-elastic embedded smart sandwich nano plates","authors":"Engin Yildirim, İsmail Esen","doi":"10.1007/s10999-025-09758-4","DOIUrl":"10.1007/s10999-025-09758-4","url":null,"abstract":"<div><p>In this study, the thermomechanical buckling behavior of sandwich smart nanoplates with magneto-electro-elastic surface layers was modeled and examined together with high-order plate theory and nonlocal strain gradient elasticity theory. It consists of a functionally graded material (FGM) metal-ceramic foam structure containing four different foam distributions in the core layer of the sandwich nanoplate. FGM core structure includes pure metal, pure ceramic, pure ceramic–metal and pure metal-cerasssmic combinations. The equations of motion were obtained by Hamilton’s principle as a result of the electro-elastic and magneto-strictive coupling effects, as well as the reflection of thermal loads, spring foundation and shear foundation effects into the energy equations, and the equations of motion were solved by the Navier method. Thermal effects, foundation effects, the effects of electric and magnetic potentials applied to the smart surface layers, and the effects of the properties of the foam structure in the core layer on the thermo-mechanical buckling behavior of the smart sandwich nanoplate have been examined in a broad framework. It is thought that the results of this study will be beneficial in the design and production of smart nano electro-mechanical systems that are intended to operate in high temperature environments. The buckling behavior of the smart plate can be adjusted with the properties of the core layer, the properties of the foundation coefficients and the applied external electric and magnetic potentials for a desired temperature operating environment.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"21 4","pages":"701 - 736"},"PeriodicalIF":3.6,"publicationDate":"2025-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10999-025-09758-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145162353","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Hermite wavelet method in thermal performance of porous fin in (Mo{S}_{2}-Go-{C}_{6}{H}_{6}{O}_{2}-{H}_{2}O) hybrid nanofluid: a comparative analysis of rectangular, triangular and convex configurations","authors":"C G Pavithra, B J Gireesha, K J Gowtham, S Sushma","doi":"10.1007/s10999-025-09761-9","DOIUrl":"10.1007/s10999-025-09761-9","url":null,"abstract":"<div><p>Hybrid nanofluid, a unique type of operational fluid, has gained considerable recognition due to its exceptional thermal conductivity. This study focuses on the thermal analysis of a shifting fin when a hybrid nanofluid is present with a constant flow rate <i>U</i>. It is considered that the fin’s thickness changes as it grows longer. As a result, several fin identities, including convex, triangular, and rectangular shapes, have been taken into consideration. Two types of nanoparticles, namely graphene oxide <span>((Go))</span>, and molybdenum disulphide <span>((Mo{S}_{2}))</span>, are used in a benzene-water solution <span>(({C}_{6}{H}_{6}{O}_{2}-{H}_{2} O))</span>. The specified conditions resulted in the development of an ordinary differential equation for the fin model. The equation was then changed to a form without dimensions. The Hermite wavelet method was utilized for the first time to address the challenge of a mobile fin submerged in a hybrid nanofluid. To confirm the outcomes, the obtained results were compared systematically with numerical simulations. Three fins with various shapes have been compared and contrasted. It is discovered that the temperature decrease rate is speedier in the triangular and convex fin compared to that of the rectangular fin. This study not only highlights the potential of hybrid nanofluids but also pioneers the application of HWM in fin design, advancing the field of thermal management technologies. An increase of 400% in the convection parameter results in a temperature decrease of 4.926% for the rectangular fin, 5.339% for the convex fin, and 5.599% for the triangular fin. Conversely, when the Peclet number increases by 400%, the temperature distribution along the fin tip rises by 7.1346% for the rectangular profile, 11.428% for the convex profile, and 12.298% for the triangular profile.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"21 4","pages":"765 - 784"},"PeriodicalIF":3.6,"publicationDate":"2025-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145161447","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Analysis of two-dimensional rigid cylindrical indentation problems based on consistent couple stress elasticity","authors":"Wenjie Liu, Yanbin Zheng, Liyuan Wang, Zhiying Ou","doi":"10.1007/s10999-025-09763-7","DOIUrl":"10.1007/s10999-025-09763-7","url":null,"abstract":"<div><p>In this paper, within the framework of the consistent couple stress elasticity theory, Green's functions are derived for the half-plane using Mindlin’s potential function method and Fourier transform technology. Using the general solution for a micro-structured elastic half-plane under concentrated load, we investigate the two-dimensional indentation problem beneath a rigid cylindrical indenter. Due to the complexity of the integral kernel, deriving an analytical solution is difficult. Therefore, we decompose it into a singular part and a regular part and numerically solve it using the Gauss–Chebyshev quadrature formula. Furthermore, we present a generalized expression for the pressure distribution incorporating scale effects and establish functional relationships among the contact half-width, applied load, and scale parameter, and compared with the numerical results. The results indicate that the elastic displacement response under the consistent couple-stress theory differs significantly from that in classical elasticity. The asymptotic behavior of the displacement components is influenced by the material length scale parameter, and the rotation becomes bounded. These findings contribute to the understanding of mechanical characteristics in micro-indentation tests and can be applied to simulate macroscopic responses in polymers or other composite materials affected by microscale influences.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"21 4","pages":"785 - 798"},"PeriodicalIF":3.6,"publicationDate":"2025-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145170458","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Effect of flexoelectricity on the nonlinear static and dynamic response of functionally graded porous graphene platelets-reinforced composite plates integrated with piezoelectric layers","authors":"Xinjie Zhang, Xie Zhao, Yanqing Li, Hongtao Wang, Shijie Zheng","doi":"10.1007/s10999-025-09765-5","DOIUrl":"10.1007/s10999-025-09765-5","url":null,"abstract":"<div><p>In this paper, the nonlinear free vibration and static bending of functionally graded porous graphene platelets-reinforced (FGP-GPLs) composite plates with discretized piezoelectric patches integrated on the upper and lower surfaces are numerically studied. For the first time, this research examines how the flexoelectric effect affects the stiffness of functionally graded graphene plates with piezoelectric laminates, and it explores the influence of porosity coefficient and graphene weight fraction on the strength of the flexoelectric effect. The material model of the composite layer comprises various porosity and GPLs distributions. Both porosity types and graphene patterns in the thickness direction are categorized into three distinct groups: uniform, symmetric, and asymmetric. The Halpin–Tsai micromechanical model, the rule of mixture, and the closed-cell Gaussian random field (GRF) scheme are used to determine the effective material properties of the composite layer. The computational model for piezoelectric smart structures is developed by considering the material characteristics, piezoelectric effect, flexoelectric effect, and von Kármán nonlinearity assumption. The nonlinear governing equations for the structures are derived by Hamilton principle combined with the first-order shear deformation theory (FSDT). The numerical model is discretized via the isogeometric analysis (IGA) technique and solved using a direct iterative method. The solution approach is validated against existing literature to confirm its accuracy and effectiveness. Finally, this paper thoroughly examines the effects of various parameters on the nonlinear static bending and free vibration of piezoelectric smart structures. These parameters include porosity and GPLs distribution patterns, porosity coefficients, GPLs weight fractions, load parameters, and the flexoelectric effect. Results indicate that the numerical model exhibits a stiffness-hardening mechanism under the flexoelectric effect.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"21 4","pages":"877 - 903"},"PeriodicalIF":3.6,"publicationDate":"2025-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145169231","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Dynamic responses of a piezoelectric semiconductor sandwich cylindrical shell covered with FGPS layers","authors":"Changsong Zhu, Ziqi Xu, Jinxi Liu","doi":"10.1007/s10999-025-09757-5","DOIUrl":"10.1007/s10999-025-09757-5","url":null,"abstract":"<div><p>This paper focuses on the linear dynamic responses of a piezoelectric semiconductor (PS) sandwich cylindrical shell covered with functionally graded piezoelectric semiconductor (FGPS) layers. The PS sandwich cylindrical shell is composed of a PS core layer and two FGPS surface layers. The FGPS surface layer consists of the metal material (i.e., aluminum) and piezoelectric semiconductor material (i.e., zinc oxide). According to the virtual work, strain energy as well as kinetic energy of the FGPS sandwich cylindrical shell, the vibration governing differential equations are achieved on the basis of Hamilton’s principle. Then the theoretical solutions of the vibration responses are obtained by solving the governing equations with Navier method. Through numerical examples, the effect of the functionally graded index, thickness ratio, initial electron concentration and excitation frequency on the dynamic responses of the FGPS sandwich cylindrical shell is analyzed. The main novelty of the manuscript is that the induced electric potential, perturbation of electron concentration and radial displacement of the FGPS sandwich cylindrical shell may be regulated effectively by designing a proper initial electron concentration and applying an appropriate excitation frequency. The multi-field coupling mechanism among carrier, polarization as well as deformation is demonstrated. The current outcomes also show that the geometric parameter, circumference wave number and functionally graded index have a significant effect on the vibration frequency and damping characteristic of the FGPS sandwich cylindrical shell.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"21 4","pages":"679 - 699"},"PeriodicalIF":3.6,"publicationDate":"2025-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145165787","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Heterogeneous tailoring of stacked 2D structures with varying chirality","authors":"Vijay Kumar Choyal, Shaker Meguid, Shailesh Kundalwal","doi":"10.1007/s10999-025-09745-9","DOIUrl":"10.1007/s10999-025-09745-9","url":null,"abstract":"<div><p>Recent developments in stacking of weakly bonded van der Waals of atomically thin layers has the potential of fabricating nano-systems with desired properties. In this effort, we carried out comprehensive molecular dynamics simulations to study the mechanical behaviour of boron nitride layer, graphene layer, and their stacked configurations using modified Tersoff and Lennard–Jones force fields under varied conditions. We evaluated their mechanical properties for distinct chirality angles ranging from <span>(0^{^circ })</span> to <span>(30^{^circ })</span> directions. We found that the (i) armchair configuration of the nano-structure possesses higher elastic modulus, irrespective of the stacking sequence and the applied strain rate, and (ii) elastic moduli of boron nitride AB-stacked configurations are higher than boron nitride monolayer. The effect of chirality angle was largely observed at higher strains. At lower strains, the effect of chirality angle is negligible for boron nitride/graphene heterogeneous structures. In this effort, we provide a comprehensive understanding of the mechanical properties of stacked configurations of boron nitride and graphene layers, accounting for the effect of chirality angle and strain rate for the design and development of the staking configurations of 2D nano-devices.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"21 3","pages":"445 - 461"},"PeriodicalIF":3.6,"publicationDate":"2025-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145164590","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Effectiveness of analytical methods in predicting non-linear contact conditions in hard-on-hard hip implants","authors":"K. Nitish Prasad, P. Ramkumar","doi":"10.1007/s10999-025-09759-3","DOIUrl":"10.1007/s10999-025-09759-3","url":null,"abstract":"<div><p>Contact mechanics models need to be developed for a comprehensive contact analysis in ball-on-socket joints. These models can be used consequently predict wear for non-linear, nearly conformal contacts in hard-on-hard hip implants. At present, some theoretical models are used to estimate the contact conditions in hip implants. The prediction of contact conditions in these nearly conformal contacts using analytical models may not be accurate due to their theoretical assumptions, and their accuracy must be verified. This study has comprehensively analysed the capability of existing popular Hertz and Fang theoretical models under various system parameters, particularly for hard-on-hard hip implants, and verified the results with finite element method (FEM). The models are analysed under different system parameters such as gait load, femoral head size, thickness of the acetabular cup, radial clearance and equivalent modulus of the tribo-pair. The contact parameters, such as the maximum contact pressure, contact radius and maximum deformation, are considered for the validation with FEM. Both analytical models fail to predict the contact conditions throughout a gait cycle. The limitations and discrepancies to be addressed in the existing analytical models are discussed, which will pave the way for developing a futuristic model for accurate contact analysis. Until now, FEM stands out as a precise method to analyse contact conditions in nearly conformal contacts.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"21 4","pages":"737 - 763"},"PeriodicalIF":3.6,"publicationDate":"2025-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145164240","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Rodrigo Reis Amaral, Herbert Martins Gomes, Jorge Luis Palomino Tamayo
{"title":"Optimized strut-and-tie design for double-sided corbels using multi-material topology optimization under multiple load cases","authors":"Rodrigo Reis Amaral, Herbert Martins Gomes, Jorge Luis Palomino Tamayo","doi":"10.1007/s10999-025-09760-w","DOIUrl":"10.1007/s10999-025-09760-w","url":null,"abstract":"<div><p>Designing structures often relies on the experience of engineers, involving an iterative process to achieve a balance between cost-effectiveness, durability, reliability, and to fulfill the required specifications. In this context, this paper introduces a novel multi-material topology optimization approach for reinforced concrete structures with D regions, considering multiple load cases during the optimization process. The methodology adopts a two-loop approach. The first loop minimizes the structure's compliance to reduce weight within a given material volume constraint. The second loop iteratively replaces concrete exceeding the Ottosen four-parameter failure surface by steel, ensuring a safe stress level under a stress constraint. The required steel area is determined based on the equivalent principal forces in finite elements classified as steel in the resulting topology from the multiple load cases. Finally, a nonlinear comparative analysis considering both material and geometric nonlinearity of the optimized and reference structures is performed using Simulia Abaqus. This analysis evaluates the crack pattern, stress distribution, and the yielding of the reinforcement up to the ultimate load of the structure. The outcomes demonstrate lightweight designs meeting the required structural performance standards.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"21 3","pages":"641 - 665"},"PeriodicalIF":3.6,"publicationDate":"2025-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145164235","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}