Pub Date : 2021-01-01DOI: 10.12989/SCS.2021.39.2.149
Mohammed Sehoul, S. Benguediab, M. Benguediab, M. Selim, F. Bourada, A. Tounsi, M. Hussain
{"title":"On the free vibration response of laminated composite plates via FEM","authors":"Mohammed Sehoul, S. Benguediab, M. Benguediab, M. Selim, F. Bourada, A. Tounsi, M. Hussain","doi":"10.12989/SCS.2021.39.2.149","DOIUrl":"https://doi.org/10.12989/SCS.2021.39.2.149","url":null,"abstract":"","PeriodicalId":51177,"journal":{"name":"Steel and Composite Structures","volume":"41 1","pages":"149"},"PeriodicalIF":4.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66591167","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 : 2021-01-01DOI: 10.12989/SCS.2021.39.1.051
H. Hachemi, A. A. Bousahla, A. Kaci, F. Bourada, A. Tounsi, K. H. Benrahou, A. Tounsi, M. Al-Zahrani, S. R. Mahmoud
This paper presents a high-order shear and normal deformation theory for the bending of FGM plates. The number of unknowns and governing equations of the present theory is reduced, and hence makes it simple to use. Unlike any other theory, the number of unknown functions involved in displacement field is only four, as against five or more in the case of other shear and normal deformation theories. Based on the novel shear and normal deformation theory, the position of neutral surface is determined and the governing equilibrium equations based on neutral surface are derived. There is no stretching–bending coupling effect in the neutral surface-based formulation, and consequently, the governing equations of functionally graded plates based on neutral surface have the simple forms as those of isotropic plates. Navier-type analytical solution is obtained for functionally graded plate subjected to transverse load for simply supported boundary conditions. The accuracy of the present theory is verified by comparing the obtained results with other quasi-3D higher-order theories reported in the literature. Other numerical examples are also presented to show the influences of the volume fraction distribution, geometrical parameters and power law index on the bending responses of the FGM plates are studied.
{"title":"Bending analysis of functionally graded plates using a new refined quasi-3D shear deformation theory and the concept of the neutral surface position","authors":"H. Hachemi, A. A. Bousahla, A. Kaci, F. Bourada, A. Tounsi, K. H. Benrahou, A. Tounsi, M. Al-Zahrani, S. R. Mahmoud","doi":"10.12989/SCS.2021.39.1.051","DOIUrl":"https://doi.org/10.12989/SCS.2021.39.1.051","url":null,"abstract":"This paper presents a high-order shear and normal deformation theory for the bending of FGM plates. The number of unknowns and governing equations of the present theory is reduced, and hence makes it simple to use. Unlike any other theory, the number of unknown functions involved in displacement field is only four, as against five or more in the case of other shear and normal deformation theories. Based on the novel shear and normal deformation theory, the position of neutral surface is determined and the governing equilibrium equations based on neutral surface are derived. There is no stretching–bending coupling effect in the neutral surface-based formulation, and consequently, the governing equations of functionally graded plates based on neutral surface have the simple forms as those of isotropic plates. Navier-type analytical solution is obtained for functionally graded plate subjected to transverse load for simply supported boundary conditions. The accuracy of the present theory is verified by comparing the obtained results with other quasi-3D higher-order theories reported in the literature. Other numerical examples are also presented to show the influences of the volume fraction distribution, geometrical parameters and power law index on the bending responses of the FGM plates are studied.","PeriodicalId":51177,"journal":{"name":"Steel and Composite Structures","volume":"39 1","pages":"051"},"PeriodicalIF":4.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66591480","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 : 2021-01-01DOI: 10.12989/SCS.2021.39.4.353
P. Hsiao, Kun-Sian Lin
Cored moment resisting stub column (CMSC) was previously developed by the features of adopting a core segment which remains mostly elastic and reduced column section (RCS) details around the ends to from a stable hysteretic behavior with large post-yield stiffness and considerable ductility. Several full-scale CMSC components with various length proportions of the RCSs with respect to overall lengths have been experimentally investigated through both far-field and near-fault cyclic loadings followed by fatigue tests. Test results verified that the proposed CMSC provided very ductile hysteretic responses with no strength degradation even beyond the occurrence of the local buckling at the side-segments. The effect of RCS lengths on the seismic performance of the CMSC was verified to relate with the levels of the deformation concentration at the member ends, the local buckling behavior and overall ductility. Estimation equations were established to notionally calculate the first-yield and ultimate strengths of the CMSC and validated by the measured responses. A numerical model of the CMSC was developed to accurately capture the hysteretic performance of the specimens, and was adopted to clarify the effect of the surrounding frame and to perform a parametric study to develop the estimation of the elastic stiffness.
{"title":"Experimental investigation on the seismic performance of cored moment resisting stub columns","authors":"P. Hsiao, Kun-Sian Lin","doi":"10.12989/SCS.2021.39.4.353","DOIUrl":"https://doi.org/10.12989/SCS.2021.39.4.353","url":null,"abstract":"Cored moment resisting stub column (CMSC) was previously developed by the features of adopting a core segment which remains mostly elastic and reduced column section (RCS) details around the ends to from a stable hysteretic behavior with large post-yield stiffness and considerable ductility. Several full-scale CMSC components with various length proportions of the RCSs with respect to overall lengths have been experimentally investigated through both far-field and near-fault cyclic loadings followed by fatigue tests. Test results verified that the proposed CMSC provided very ductile hysteretic responses with no strength degradation even beyond the occurrence of the local buckling at the side-segments. The effect of RCS lengths on the seismic performance of the CMSC was verified to relate with the levels of the deformation concentration at the member ends, the local buckling behavior and overall ductility. Estimation equations were established to notionally calculate the first-yield and ultimate strengths of the CMSC and validated by the measured responses. A numerical model of the CMSC was developed to accurately capture the hysteretic performance of the specimens, and was adopted to clarify the effect of the surrounding frame and to perform a parametric study to develop the estimation of the elastic stiffness.","PeriodicalId":51177,"journal":{"name":"Steel and Composite Structures","volume":"7 1","pages":"353"},"PeriodicalIF":4.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66592352","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 : 2021-01-01DOI: 10.12989/SCS.2021.40.2.243
R. A. Ahmed, B. Khalaf, K. M. Raheef, R. M. Fenjan, Nadhim M. Faleh
In this research, thermal and electrical effects on dynamic response of a porous nano-sized plate modeled by a nonlocal higher-order refined plate model have been explored in detail. A hyperbolic shear stain function has been used. The porous material considered in this research may have uniform or non-uniform porosity distribution across the cross section. Stain gradient effects have also been considered for more accurate modeling of the scale-dependent plate. Hamilton's rule has been employed for establishing the governing equations. Derived findings by differential quadrature (DQ) method have been validated with those represented in previous researches. The effects of thermal environment, electrical environment, nonlocal scale, and porous material on dynamic behaviors of foam-based nanoplate have been explored.
{"title":"Investigating dynamic response of nonlocal functionally graded porous piezoelectric plates in thermal environment","authors":"R. A. Ahmed, B. Khalaf, K. M. Raheef, R. M. Fenjan, Nadhim M. Faleh","doi":"10.12989/SCS.2021.40.2.243","DOIUrl":"https://doi.org/10.12989/SCS.2021.40.2.243","url":null,"abstract":"In this research, thermal and electrical effects on dynamic response of a porous nano-sized plate modeled by a nonlocal higher-order refined plate model have been explored in detail. A hyperbolic shear stain function has been used. The porous material considered in this research may have uniform or non-uniform porosity distribution across the cross section. Stain gradient effects have also been considered for more accurate modeling of the scale-dependent plate. Hamilton's rule has been employed for establishing the governing equations. Derived findings by differential quadrature (DQ) method have been validated with those represented in previous researches. The effects of thermal environment, electrical environment, nonlocal scale, and porous material on dynamic behaviors of foam-based nanoplate have been explored.","PeriodicalId":51177,"journal":{"name":"Steel and Composite Structures","volume":"40 1","pages":"243"},"PeriodicalIF":4.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66594888","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 : 2021-01-01DOI: 10.12989/SCS.2021.40.2.255
P. Lu, Dengguo Li, Ying Wu, Simin Huang, Yijie Zhang
In order to accurately grasp the mechanical behavior of the composite beam structure and achieve its refined analysis. In this paper, the stiffness matrix of a new type of spatial grid element is derived using the principle of energy variation. Based on the spatial grid element, a finite element analysis program is written using MATLAB software. A new type of spatial grid element analysis method that can be used for the overall force analysis of composite beam structures as well as the local refined analysis of the structure is proposed. In addition, the internal force, stress and displacement of each part of the composite beam can also be directly obtained. In order to verify the accuracy and reliability of the spatial grid analysis element proposed in this paper. The composite beam in the existing references are used as the analysis object, and the analysis result of the spatial grid element is compared with the references result. The research results show that the analysis results of spatial grid elements have high accuracy and can realize the refined analysis of composite beams.
{"title":"Space grillage analysis model of steel-concrete composite beam","authors":"P. Lu, Dengguo Li, Ying Wu, Simin Huang, Yijie Zhang","doi":"10.12989/SCS.2021.40.2.255","DOIUrl":"https://doi.org/10.12989/SCS.2021.40.2.255","url":null,"abstract":"In order to accurately grasp the mechanical behavior of the composite beam structure and achieve its refined analysis. In this paper, the stiffness matrix of a new type of spatial grid element is derived using the principle of energy variation. Based on the spatial grid element, a finite element analysis program is written using MATLAB software. A new type of spatial grid element analysis method that can be used for the overall force analysis of composite beam structures as well as the local refined analysis of the structure is proposed. In addition, the internal force, stress and displacement of each part of the composite beam can also be directly obtained. In order to verify the accuracy and reliability of the spatial grid analysis element proposed in this paper. The composite beam in the existing references are used as the analysis object, and the analysis result of the spatial grid element is compared with the references result. The research results show that the analysis results of spatial grid elements have high accuracy and can realize the refined analysis of composite beams.","PeriodicalId":51177,"journal":{"name":"Steel and Composite Structures","volume":"40 1","pages":"255"},"PeriodicalIF":4.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66594986","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 : 2021-01-01DOI: 10.12989/SCS.2021.40.3.405
Jicheng Zhang, Xiao-yu Liu, Z. Lei, Guofeng Du, Jiahao Xiao
This paper experimentally investigated the behavior of a cross-shaped concrete-filled steel tubular (C-CFST) column subjected to a constant axial load and a low-cycle repeated loading. Nine C-CFST columns with different length-width ratio, width-thickness ratio and axial compression ratio were designed, and the failure mode, hysteresis curve, skeleton curve, ductility, stiffness degradation and energy dissipation capacity of each specimen were studied and analyzed. The results indicated that the cross-shaped steel tube had a strong restraining effect on the core concrete, and C-CFST columns of different sectional dimensions all exhibited favorable seismic behavior, which is suitable for middle-high residential buildings. An increase of length-width ratio enhanced the initial stiffness with a decrease of ductility, and more rapid stiffness degradation during loading. Specimens with smaller width-thickness ratios had higher ductility, stiffness, and energy dissipation capacity. A larger axial compression ratio could reduce the bearing capacity, and cause the stiffness to degrade faster. Moreover, a hysteretic model of C-CFST columns was also proposed based on an analysis of the test results.
{"title":"Seismic behavior of cross-shaped concrete-filled steel tubular columns","authors":"Jicheng Zhang, Xiao-yu Liu, Z. Lei, Guofeng Du, Jiahao Xiao","doi":"10.12989/SCS.2021.40.3.405","DOIUrl":"https://doi.org/10.12989/SCS.2021.40.3.405","url":null,"abstract":"This paper experimentally investigated the behavior of a cross-shaped concrete-filled steel tubular (C-CFST) column subjected to a constant axial load and a low-cycle repeated loading. Nine C-CFST columns with different length-width ratio, width-thickness ratio and axial compression ratio were designed, and the failure mode, hysteresis curve, skeleton curve, ductility, stiffness degradation and energy dissipation capacity of each specimen were studied and analyzed. The results indicated that the cross-shaped steel tube had a strong restraining effect on the core concrete, and C-CFST columns of different sectional dimensions all exhibited favorable seismic behavior, which is suitable for middle-high residential buildings. An increase of length-width ratio enhanced the initial stiffness with a decrease of ductility, and more rapid stiffness degradation during loading. Specimens with smaller width-thickness ratios had higher ductility, stiffness, and energy dissipation capacity. A larger axial compression ratio could reduce the bearing capacity, and cause the stiffness to degrade faster. Moreover, a hysteretic model of C-CFST columns was also proposed based on an analysis of the test results.","PeriodicalId":51177,"journal":{"name":"Steel and Composite Structures","volume":"143 1","pages":"405"},"PeriodicalIF":4.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66595199","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 : 2021-01-01DOI: 10.12989/SCS.2021.40.2.307
Zakaria Belabed, M. Selim, O. Slimani, Noureddine Taibi, A. Tounsi, M. Hussain
In this study, a simple and efficient higher order shear deformation theory is formulated for free vibration analysis of functionally graded (FG) shells. By introducing the undetermined integral terms in displacement field, the number of generated unknowns and their related governing equations is reduced in contrast to previously published theories, and therefore the differentiability of governing motion equations is decreased , this motivation turns the present theory simpler and easily exploited for functionally graded shell mechanical simulation. Both strains and stress rise through the thickness coordinate as function of hyperbolical distribution. The Hamilton’s principle is deployed to derive the governing and motion equations. Closed form solutions are obtained for free vibration problems using Navier’s method. Furthermore, detailed comparisons with other shear deformation theories are presented to illustrate the efficiency and accuracy of the developed theory. From this perspective, various perceptions on the impact of some important parameters such as material distribution, geometrical configuration, thickness and curvature ratios are studied and discussed. The non trivial aspects in predicting the free vibration responses of FG shells are also pointed out
{"title":"An efficient higher order shear deformation theory for free vibration analysis of functionally graded shells","authors":"Zakaria Belabed, M. Selim, O. Slimani, Noureddine Taibi, A. Tounsi, M. Hussain","doi":"10.12989/SCS.2021.40.2.307","DOIUrl":"https://doi.org/10.12989/SCS.2021.40.2.307","url":null,"abstract":"In this study, a simple and efficient higher order shear deformation theory is formulated for free vibration analysis of functionally graded (FG) shells. By introducing the undetermined integral terms in displacement field, the number of generated unknowns and their related governing equations is reduced in contrast to previously published theories, and therefore the differentiability of governing motion equations is decreased , this motivation turns the present theory simpler and easily exploited for functionally graded shell mechanical simulation. Both strains and stress rise through the thickness coordinate as function of hyperbolical distribution. The Hamilton’s principle is deployed to derive the governing and motion equations. Closed form solutions are obtained for free vibration problems using Navier’s method. Furthermore, detailed comparisons with other shear deformation theories are presented to illustrate the efficiency and accuracy of the developed theory. From this perspective, various perceptions on the impact of some important parameters such as material distribution, geometrical configuration, thickness and curvature ratios are studied and discussed. The non trivial aspects in predicting the free vibration responses of FG shells are also pointed out","PeriodicalId":51177,"journal":{"name":"Steel and Composite Structures","volume":"40 1","pages":"307"},"PeriodicalIF":4.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66595222","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 : 2021-01-01DOI: 10.12989/SCS.2021.40.3.355
Xinli Xu, Chunwei Zhang, F. Musharavati, T. Sebaey, Afrasyab Khan
The current work fills a gap of a small-scale study on wave propagation behavior of symmetric, antisymmetric, and quasi-isotropic cross/angle-plies laminated composite nanoplates. The governing equations are derived through the Hamiltonian principle for four-variable refined shear deformation plate theory in conjunction with the assumption of a non-classical theory, and then size-dependent formulations are solved via an analytical solution procedure. This work provides information to accurately analyze the influence of lay-up numbers and sequences, geometry, fiber orientations, and wave numbers on the size-dependent wave propagation response of laminated composite nanoplates.
{"title":"Dispersion of waves characteristics of laminated composite nanoplate","authors":"Xinli Xu, Chunwei Zhang, F. Musharavati, T. Sebaey, Afrasyab Khan","doi":"10.12989/SCS.2021.40.3.355","DOIUrl":"https://doi.org/10.12989/SCS.2021.40.3.355","url":null,"abstract":"The current work fills a gap of a small-scale study on wave propagation behavior of symmetric, antisymmetric, and quasi-isotropic cross/angle-plies laminated composite nanoplates. The governing equations are derived through the Hamiltonian principle for four-variable refined shear deformation plate theory in conjunction with the assumption of a non-classical theory, and then size-dependent formulations are solved via an analytical solution procedure. This work provides information to accurately analyze the influence of lay-up numbers and sequences, geometry, fiber orientations, and wave numbers on the size-dependent wave propagation response of laminated composite nanoplates.","PeriodicalId":51177,"journal":{"name":"Steel and Composite Structures","volume":"40 1","pages":"355"},"PeriodicalIF":4.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66595436","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 : 2021-01-01DOI: 10.12989/SCS.2021.40.5.663
Liang Cao, Yong-Phai Tan, Jiang-Ping Li
In this study, the vibration serviceability of a composite steel-bar truss slab with steel girder system considering the human-structure interaction was investigated systematically through the on-site testing. Impulse excitations (heel-drop and jumping) and steady-state motions (walking and running) were performed to capture the primary vibration parameters (natural frequency, model shape, and damping ratio) and the distribution of peak accelerations. The composite floor possesses a low frequency of approximately 7.90 Hz and the damping ratio of ≈ 2.10%. The walking and running excitations by one person (single excitations) were considered to evaluate the vibration serviceability of the composite floor. The measured accelerations show a satisfactory vibration perceptibility. For design convenience and safety, a crest factor B rp (the ratio of peak acceleration to root-mean-square acceleration induced from an excitation) is proposed. Comparisons of the modal parameters determined from the tests (walking, running, heel-drop, and jumping) reveal there is an interaction exists between the human excitation and the composite floor. This interaction effect reduces the damping ratio of the composite floor.
{"title":"Experimental studies on vibration serviceability of composite steel-bar truss slab with steel girder under human activities","authors":"Liang Cao, Yong-Phai Tan, Jiang-Ping Li","doi":"10.12989/SCS.2021.40.5.663","DOIUrl":"https://doi.org/10.12989/SCS.2021.40.5.663","url":null,"abstract":"In this study, the vibration serviceability of a composite steel-bar truss slab with steel girder system considering the human-structure interaction was investigated systematically through the on-site testing. Impulse excitations (heel-drop and jumping) and steady-state motions (walking and running) were performed to capture the primary vibration parameters (natural frequency, model shape, and damping ratio) and the distribution of peak accelerations. The composite floor possesses a low frequency of approximately 7.90 Hz and the damping ratio of ≈ 2.10%. The walking and running excitations by one person (single excitations) were considered to evaluate the vibration serviceability of the composite floor. The measured accelerations show a satisfactory vibration perceptibility. For design convenience and safety, a crest factor B rp (the ratio of peak acceleration to root-mean-square acceleration induced from an excitation) is proposed. Comparisons of the modal parameters determined from the tests (walking, running, heel-drop, and jumping) reveal there is an interaction exists between the human excitation and the composite floor. This interaction effect reduces the damping ratio of the composite floor.","PeriodicalId":51177,"journal":{"name":"Steel and Composite Structures","volume":"40 1","pages":"663"},"PeriodicalIF":4.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66596264","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 : 2021-01-01DOI: 10.12989/SCS.2021.41.2.149
Q. Pham, P. Nguyen, Van-Ke Tran, T. Nguyen-Thoi
This paper proposes an improved triangular element based on the strain approach and the Reissner-Mindlin theory to investigate the static, free vibration, and buckling response of functionally graded porous (FGP) nano-plates resting on the Parternak's two-parameter elastic medium foundation. The internal pores of nano-plates are described by two distribution laws, including uneven porosity distribution and logarithmic-uneven porosity distribution. Using Hamilton's principle, equilibrium equations of FGP nano-plates lying on a two-parameter foundation are obtained. The most remarkable feature of the improved triangular element is the degrees of freedom of elements approximated by Lagrange functions for the membrane strain and by the high-degree polynomial functions for the bending strain. The numerical results of the present work are compared with the available results in the literature to evaluate the performance of the proposed approach. Effects of geometrical and material properties such as the power-law index n, the porosity coefficient S, the nonlocal coefficient u, and the parameters of the elastic foundation on the static, free vibration, and buckling behavior of the FGP nano-plates are examined in detail.
{"title":"Finite element analysis for functionally graded porous nano-platesresting on elastic foundation","authors":"Q. Pham, P. Nguyen, Van-Ke Tran, T. Nguyen-Thoi","doi":"10.12989/SCS.2021.41.2.149","DOIUrl":"https://doi.org/10.12989/SCS.2021.41.2.149","url":null,"abstract":"This paper proposes an improved triangular element based on the strain approach and the Reissner-Mindlin theory to investigate the static, free vibration, and buckling response of functionally graded porous (FGP) nano-plates resting on the Parternak's two-parameter elastic medium foundation. The internal pores of nano-plates are described by two distribution laws, including uneven porosity distribution and logarithmic-uneven porosity distribution. Using Hamilton's principle, equilibrium equations of FGP nano-plates lying on a two-parameter foundation are obtained. The most remarkable feature of the improved triangular element is the degrees of freedom of elements approximated by Lagrange functions for the membrane strain and by the high-degree polynomial functions for the bending strain. The numerical results of the present work are compared with the available results in the literature to evaluate the performance of the proposed approach. Effects of geometrical and material properties such as the power-law index n, the porosity coefficient S, the nonlocal coefficient u, and the parameters of the elastic foundation on the static, free vibration, and buckling behavior of the FGP nano-plates are examined in detail.","PeriodicalId":51177,"journal":{"name":"Steel and Composite Structures","volume":"41 1","pages":"149"},"PeriodicalIF":4.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66597479","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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