Pub Date : 2022-12-19DOI: 10.1142/s2047684123500057
Heng Cheng, Y. Liu, Dongqiong Liang
In this study, we present the hybrid complex variable element-free Galerkin (HCVEFG) method for solving 3D Helmholtz equations. The dimension splitting method (DSM) will be introduced into the corresponding governing equation, thus a series of 2D forms can be obtained by splitting the problem domain of 3D Helmholtz equation. For every 2D problem, the shape function can be obtained by using the improved complex variable moving least-squares (ICVMLS) approximation, and the essential boundary condition can be imposed by using the penalty method, thus the discretized equations of 2D problems can be derived by using the corresponding Galerkin weak form. These equations can be coupled by using the finite difference method (FDM) in the dimension splitting direction, thus final formulae of the numerical solution for 3D Helmholtz equation can be obtained. In Sec. 4, the relative errors are given, and the convergence is analyzed numerically. The numerical result of these examples illustrates that the calculation speed can be improved greatly when the HCVEFG method is used rather than the improved element-free Galerkin (IEFG) method.
{"title":"Analyzing 3D Helmholtz equations by using the hybrid complex variable element-free Galerkin method","authors":"Heng Cheng, Y. Liu, Dongqiong Liang","doi":"10.1142/s2047684123500057","DOIUrl":"https://doi.org/10.1142/s2047684123500057","url":null,"abstract":"In this study, we present the hybrid complex variable element-free Galerkin (HCVEFG) method for solving 3D Helmholtz equations. The dimension splitting method (DSM) will be introduced into the corresponding governing equation, thus a series of 2D forms can be obtained by splitting the problem domain of 3D Helmholtz equation. For every 2D problem, the shape function can be obtained by using the improved complex variable moving least-squares (ICVMLS) approximation, and the essential boundary condition can be imposed by using the penalty method, thus the discretized equations of 2D problems can be derived by using the corresponding Galerkin weak form. These equations can be coupled by using the finite difference method (FDM) in the dimension splitting direction, thus final formulae of the numerical solution for 3D Helmholtz equation can be obtained. In Sec. 4, the relative errors are given, and the convergence is analyzed numerically. The numerical result of these examples illustrates that the calculation speed can be improved greatly when the HCVEFG method is used rather than the improved element-free Galerkin (IEFG) method.","PeriodicalId":45186,"journal":{"name":"International Journal of Computational Materials Science and Engineering","volume":" ","pages":""},"PeriodicalIF":1.3,"publicationDate":"2022-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47371605","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-19DOI: 10.1142/s2047684123500033
A. Mehditabar, Sajjad Razmkhah, S. A. Sadrabadi, Xiongqi Peng, S. Yuan, J. Abot
In this study, three-dimensional thermoelastic behavior of a functionally graded (FG) truncated conical shell with piezoelectric layers perfectly bonded to its inner and outer surfaces under electro–thermo–mechanical loads is investigated. The material properties of the FG truncated conical shell are assumed to be graded along the thickness according to a power-law function while the Poisson’s ratio is considered constant. The differential quadrature method (DQM) is utilized to obtain numerical results. The findings of this method are compared with the results published in the literature and excellent agreement with significantly fast convergence is shown. Parametric studies are performed to demonstrate the effects of the FG grading index, edge boundary conditions, semi-vertex angle of the shell, and thickness of the piezoelectric layers on the distribution of stress components, displacements, and electric potential.
{"title":"Three-dimensional thermoelastic analysis of a functionally graded truncated conical shell with piezoelectric layers","authors":"A. Mehditabar, Sajjad Razmkhah, S. A. Sadrabadi, Xiongqi Peng, S. Yuan, J. Abot","doi":"10.1142/s2047684123500033","DOIUrl":"https://doi.org/10.1142/s2047684123500033","url":null,"abstract":"In this study, three-dimensional thermoelastic behavior of a functionally graded (FG) truncated conical shell with piezoelectric layers perfectly bonded to its inner and outer surfaces under electro–thermo–mechanical loads is investigated. The material properties of the FG truncated conical shell are assumed to be graded along the thickness according to a power-law function while the Poisson’s ratio is considered constant. The differential quadrature method (DQM) is utilized to obtain numerical results. The findings of this method are compared with the results published in the literature and excellent agreement with significantly fast convergence is shown. Parametric studies are performed to demonstrate the effects of the FG grading index, edge boundary conditions, semi-vertex angle of the shell, and thickness of the piezoelectric layers on the distribution of stress components, displacements, and electric potential.","PeriodicalId":45186,"journal":{"name":"International Journal of Computational Materials Science and Engineering","volume":" ","pages":""},"PeriodicalIF":1.3,"publicationDate":"2022-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45252734","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-11-22DOI: 10.1142/s2047684123500070
M. M. Channakote, S. Asha
{"title":"Heat transfer and electroosmotic analysis on peristaltic pumping of a fractional second grade fluid through a cylindrical tube","authors":"M. M. Channakote, S. Asha","doi":"10.1142/s2047684123500070","DOIUrl":"https://doi.org/10.1142/s2047684123500070","url":null,"abstract":"","PeriodicalId":45186,"journal":{"name":"International Journal of Computational Materials Science and Engineering","volume":" ","pages":""},"PeriodicalIF":1.3,"publicationDate":"2022-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44796599","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-11-16DOI: 10.1142/s2047684123500069
Ruoxuan Liu, Juzheng Song, Peijun Luo, Fangfang Tian, Weiping Li
{"title":"Analysis and prediction of temperature of a assembly frame for aircraft based on BP neural network","authors":"Ruoxuan Liu, Juzheng Song, Peijun Luo, Fangfang Tian, Weiping Li","doi":"10.1142/s2047684123500069","DOIUrl":"https://doi.org/10.1142/s2047684123500069","url":null,"abstract":"","PeriodicalId":45186,"journal":{"name":"International Journal of Computational Materials Science and Engineering","volume":" ","pages":""},"PeriodicalIF":1.3,"publicationDate":"2022-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43797156","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-10-21DOI: 10.1142/s2047684123500045
N. Chung, Duong Thi Hoai Thu, L. Thuy
{"title":"Dynamic analysis of stiffened functionally graded composite plates reinforced by carbon nanotubes subjected to blast loads using a new four - variable refined plate theory","authors":"N. Chung, Duong Thi Hoai Thu, L. Thuy","doi":"10.1142/s2047684123500045","DOIUrl":"https://doi.org/10.1142/s2047684123500045","url":null,"abstract":"","PeriodicalId":45186,"journal":{"name":"International Journal of Computational Materials Science and Engineering","volume":" ","pages":""},"PeriodicalIF":1.3,"publicationDate":"2022-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49117034","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-09-23DOI: 10.1142/s2047684123500021
M. A. Patel, N. Desai, D. J. Prajapati
{"title":"Fingero-imbibition phenomenon with magnetic field effect in two phase flow through porous medium","authors":"M. A. Patel, N. Desai, D. J. Prajapati","doi":"10.1142/s2047684123500021","DOIUrl":"https://doi.org/10.1142/s2047684123500021","url":null,"abstract":"","PeriodicalId":45186,"journal":{"name":"International Journal of Computational Materials Science and Engineering","volume":"1 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2022-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"63848964","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-09-23DOI: 10.1142/s2047684122500233
V. V. Bhaskar, K. Srinivas, S. Devireddy
{"title":"A computational micromechanical approach to predict the young's modulus of continuous banana and palmyra fiber reinforced epoxy composites","authors":"V. V. Bhaskar, K. Srinivas, S. Devireddy","doi":"10.1142/s2047684122500233","DOIUrl":"https://doi.org/10.1142/s2047684122500233","url":null,"abstract":"","PeriodicalId":45186,"journal":{"name":"International Journal of Computational Materials Science and Engineering","volume":" ","pages":""},"PeriodicalIF":1.3,"publicationDate":"2022-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48635904","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-09-23DOI: 10.1142/s204768412350001x
Cao Van Doan, Vu Tho Hung, Nguyen Thi Phuong, Vu Hoai Nam
{"title":"Torsional buckling and postbuckling behaviour of stiffened FG-GRCL toroidal shell segments surrounded by elastic foundation","authors":"Cao Van Doan, Vu Tho Hung, Nguyen Thi Phuong, Vu Hoai Nam","doi":"10.1142/s204768412350001x","DOIUrl":"https://doi.org/10.1142/s204768412350001x","url":null,"abstract":"","PeriodicalId":45186,"journal":{"name":"International Journal of Computational Materials Science and Engineering","volume":" ","pages":""},"PeriodicalIF":1.3,"publicationDate":"2022-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48551924","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-08-18DOI: 10.1142/s2047684122500221
Shahram Hosseini, G. Rahimi, Mohammad Sajad Gazor
{"title":"Nonlinear free vibration and flexural analysis of hyperelastic beam utilizing a meshless method based on radial basis function","authors":"Shahram Hosseini, G. Rahimi, Mohammad Sajad Gazor","doi":"10.1142/s2047684122500221","DOIUrl":"https://doi.org/10.1142/s2047684122500221","url":null,"abstract":"","PeriodicalId":45186,"journal":{"name":"International Journal of Computational Materials Science and Engineering","volume":" ","pages":""},"PeriodicalIF":1.3,"publicationDate":"2022-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45647342","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-08-12DOI: 10.1142/s204768412250021x
A. Sabry
{"title":"Cohesion Energy Simulation of Inorganic Layered Alkaline-Earth Fluorohalides","authors":"A. Sabry","doi":"10.1142/s204768412250021x","DOIUrl":"https://doi.org/10.1142/s204768412250021x","url":null,"abstract":"","PeriodicalId":45186,"journal":{"name":"International Journal of Computational Materials Science and Engineering","volume":" ","pages":""},"PeriodicalIF":1.3,"publicationDate":"2022-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42332369","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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