A unifying approach to formulate several axiomatic theories for beam structures is addressed in this paper. A [Formula: see text]-order polynomials approximation is assumed on the beam cross-section for the displacement unknown variables, being [Formula: see text] a free parameter of the formulation. Classical beam theories, such as Euler–Bernoulli’s and Timoshenko’s, are obtained as particular cases. According to the proposed unified formulation, the governing differential equations and the boundary conditions are derived in terms of a fundamental nucleo that does not depend upon the approximation order. The linear static analysis of thin-walled beams is carried out through a closed form, Navier-type solution. Simply supported beams are, therefore, presented. Box, C- and I-shaped cross-sections are accounted for. Slender and deep beams are investigated. Bending and torsional loadings are considered. Results are assessed toward three-dimensional finite element solutions. The numerical investigation has shown that the proposed unified formulation yields the complete three-dimensional displacement and stress fields for each cross-section as long as the appropriate approximation order is considered. The accuracy of the solution depends upon the geometrical parameters of the beam and the loading conditions.
{"title":"Analysis of Thin-Walled Beams via a One-Dimensional Unified Formulation Through a Navier-Type Solution","authors":"Gaetano Giunta, Fabio Biscani, Erasmo Carrera, Salim Belouettar","doi":"10.1142/s1758825123500746","DOIUrl":"https://doi.org/10.1142/s1758825123500746","url":null,"abstract":"A unifying approach to formulate several axiomatic theories for beam structures is addressed in this paper. A [Formula: see text]-order polynomials approximation is assumed on the beam cross-section for the displacement unknown variables, being [Formula: see text] a free parameter of the formulation. Classical beam theories, such as Euler–Bernoulli’s and Timoshenko’s, are obtained as particular cases. According to the proposed unified formulation, the governing differential equations and the boundary conditions are derived in terms of a fundamental nucleo that does not depend upon the approximation order. The linear static analysis of thin-walled beams is carried out through a closed form, Navier-type solution. Simply supported beams are, therefore, presented. Box, C- and I-shaped cross-sections are accounted for. Slender and deep beams are investigated. Bending and torsional loadings are considered. Results are assessed toward three-dimensional finite element solutions. The numerical investigation has shown that the proposed unified formulation yields the complete three-dimensional displacement and stress fields for each cross-section as long as the appropriate approximation order is considered. The accuracy of the solution depends upon the geometrical parameters of the beam and the loading conditions.","PeriodicalId":49186,"journal":{"name":"International Journal of Applied Mechanics","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135768590","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}
Pub Date : 2023-09-05DOI: 10.1142/s1758825124500029
Mahdi Saadatfar, Mohammad Amin Babazadeh, Mojtaba Babaelahi
{"title":"Stress and Deformation of a Functionally Graded Piezoelectric Rotating Disk with Variable Thickness Subjected to Magneto-Thermo-Mechanical Loads Including Convection and Radiation Heat Transfer","authors":"Mahdi Saadatfar, Mohammad Amin Babazadeh, Mojtaba Babaelahi","doi":"10.1142/s1758825124500029","DOIUrl":"https://doi.org/10.1142/s1758825124500029","url":null,"abstract":"","PeriodicalId":49186,"journal":{"name":"International Journal of Applied Mechanics","volume":" ","pages":""},"PeriodicalIF":3.5,"publicationDate":"2023-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45637027","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}
Pub Date : 2023-09-01DOI: 10.1142/s1758825123500965
Sankalp Gour, Dilshad Ahmad, Deepak Kumar, R. Ajaj, Yahya Zweiri
{"title":"Investigating the tear fracture of elastomeric skins in morphing wings: An experimental and computational study","authors":"Sankalp Gour, Dilshad Ahmad, Deepak Kumar, R. Ajaj, Yahya Zweiri","doi":"10.1142/s1758825123500965","DOIUrl":"https://doi.org/10.1142/s1758825123500965","url":null,"abstract":"","PeriodicalId":49186,"journal":{"name":"International Journal of Applied Mechanics","volume":" ","pages":""},"PeriodicalIF":3.5,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41610140","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}
Pub Date : 2023-08-25DOI: 10.1142/s1758825123500953
Yuansen Song, S. Bai, Jing Yang, Junjie Chen
{"title":"Fluid Cavitation Intensity in Zero Leakage Upstream Pumping Face Seals with Spiral Grooves","authors":"Yuansen Song, S. Bai, Jing Yang, Junjie Chen","doi":"10.1142/s1758825123500953","DOIUrl":"https://doi.org/10.1142/s1758825123500953","url":null,"abstract":"","PeriodicalId":49186,"journal":{"name":"International Journal of Applied Mechanics","volume":" ","pages":""},"PeriodicalIF":3.5,"publicationDate":"2023-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41553256","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}
Pub Date : 2023-08-25DOI: 10.1142/s175882512350093x
M. Korayem, R. N. Hefzabad
{"title":"Nonlinear Nonclassical Modeling of Microparticles Manipulation Based on Finite Element Method","authors":"M. Korayem, R. N. Hefzabad","doi":"10.1142/s175882512350093x","DOIUrl":"https://doi.org/10.1142/s175882512350093x","url":null,"abstract":"","PeriodicalId":49186,"journal":{"name":"International Journal of Applied Mechanics","volume":" ","pages":""},"PeriodicalIF":3.5,"publicationDate":"2023-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45853273","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A data-driven approach to generating stochastic mesoscale 3D shale volume elements from 2D SEM images and predicting the equivalent modulus","authors":"Yang Hong, Xiang Li, Yue Gao, Zhanli Liu, Ziming Yan, Zhuang Zhuo","doi":"10.1142/s1758825123500941","DOIUrl":"https://doi.org/10.1142/s1758825123500941","url":null,"abstract":"","PeriodicalId":49186,"journal":{"name":"International Journal of Applied Mechanics","volume":" ","pages":""},"PeriodicalIF":3.5,"publicationDate":"2023-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45244559","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}
Pub Date : 2023-08-18DOI: 10.1142/s1758825123500916
Y. Hui, Qipan Ruan, Zhi-Qiang Yang, Bo Chen
{"title":"A generic pre-processing technique of IHB method for continuum system to improve calculation efficiency","authors":"Y. Hui, Qipan Ruan, Zhi-Qiang Yang, Bo Chen","doi":"10.1142/s1758825123500916","DOIUrl":"https://doi.org/10.1142/s1758825123500916","url":null,"abstract":"","PeriodicalId":49186,"journal":{"name":"International Journal of Applied Mechanics","volume":" ","pages":""},"PeriodicalIF":3.5,"publicationDate":"2023-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46554693","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}
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