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The smoothed finite element method (S-FEM): A framework for the design of numerical models for desired

Gui-Rong Liu

Frontiers of Structural and Civil Engineering 2019, Volume 13, Issue 2,   Pages 456-477 doi: 10.1007/s11709-019-0519-5

Abstract:

The smoothed finite element method (S-FEM) was originated by G R Liu by combining some meshfree techniqueswith the well-established standard finite element method (FEM).A number of important properties and unique features of S-FEM models are discussed in detail, includingThe S-FEM is thus ideal for automation in computations and adaptive analyses, and hence has profoundas wish, meaning that S-FEM offers a framework for design numerical models with desired properties.

Keywords: computational method     finite element method     smoothed finite element method     strain smoothing technique    

Static analysis of corrugated panels using homogenization models and a cell-based smoothed mindlin plateelement (CS-MIN3)

Nhan NGUYEN-MINH, Nha TRAN-VAN, Thang BUI-XUAN, Trung NGUYEN-THOI

Frontiers of Structural and Civil Engineering 2019, Volume 13, Issue 2,   Pages 251-272 doi: 10.1007/s11709-017-0456-0

Abstract: In addition, in the recent trend of development of smoothed finite element methods, the cell-based smoothedthree-node Mindlin plate element (CS-MIN3) based on the first-order shear deformation theory (FSDT)

Keywords: homogenization     corrugated panel     asymptotic analysis     smoothed finite element method (S-FEM)     cell-basedsmoothed three-node Mindlin plate element (CS-MIN3)    

An extended cell-based smoothed discrete shear gap method (XCS-FEM-DSG3) for free vibration analysis

M. H. NGUYEN-THOI,L. Le-ANH,V. Ho-HUU,H. Dang-TRUNG,T. NGUYEN-THOI

Frontiers of Structural and Civil Engineering 2015, Volume 9, Issue 4,   Pages 341-358 doi: 10.1007/s11709-015-0302-1

Abstract: A cell-based smoothed discrete shear gap method (CS-FEM-DSG3) was recently proposed and proven to beThe method improves significantly the accuracy of the solution due to softening effect of the cell-basedIn addition, due to using only three-node triangular elements generated automatically, the CS-FEM-DSG3functions of the extended finite element method (XFEM) to give a so-called extended cell-based smootheddiscrete shear gap method (XCS-FEM-DSG3).

Keywords: cracked Reissner-Mindlin shell     free vibration analysis     cell-based smoothed discrete shear gap method(CS-FEM-DSG3)     extended cell-based smoothed discrete shear gap method (XCS-FEM-DSG3)     smoothed finite element    

3D finite element method (FEM) simulation of groundwater flow during backward erosion piping

Kristine VANDENBOER,Vera van BEEK,Adam BEZUIJEN

Frontiers of Structural and Civil Engineering 2014, Volume 8, Issue 2,   Pages 160-166 doi: 10.1007/s11709-014-0257-7

Abstract: Backward erosion piping is an important failure mechanism for cohesive water retaining structures which are founded on a sandy aquifer. At present, the prediction models for safety assessment are often based on 2D assumptions. In this work, a 3D numerical approach of the groundwater flow leading to the erosion mechanism of backward erosion piping is presented and discussed. Comparison of the 2D and 3D numerical results explicitly demonstrates the inherent 3D nature of the piping phenomenon. In addition, the influence of the seepage length is investigated and discussed for both piping initiation and piping progression. The results clearly indicate the superiority of the presented 3D numerical model compared to the established 2D approach. Moreover, the 3D numerical results enable a better understanding of the complex physical mechanism involved in backward erosion piping and thus can lead to a significant improvement in the safety assessment of water retaining structures.

Keywords: backward erosion piping     groundwater flow     3D finite element method (FEM)    

Two-scale modeling of granular materials: A FEM-FEM approach

Yun-Zhu CAI, Yu-Ching WU

Frontiers of Structural and Civil Engineering 2013, Volume 7, Issue 3,   Pages 304-315 doi: 10.1007/s11709-013-0213-y

Abstract: In the present paper, a homogenization-based two-scale FEM-FEM model is developed to simulate compactionsThe granular structure consisting of two-dimensional grains is modeled by the microscopic finite elementfinite element method at large-scale level.The two-scale FEM-FEM model is developed in which each particle is treated individually with the appropriateconstitutive relations obtained from a representative volume element, kinematic conditions, contact

Keywords: homogenization     two-scale     representative volume element     compaction     granular assembly     finite element method    

Concurrent fatigue crack growth simulation using extended finite element method

Zizi LU, Yongming LIU,

Frontiers of Structural and Civil Engineering 2010, Volume 4, Issue 3,   Pages 339-347 doi: 10.1007/s11709-010-0078-2

Abstract: analysis is proposed using a novel small time scale model for fatigue mechanism analysis and the extended finiteelement method (X-FEM) for fatigue crack growth simulation.The X-FEM greatly facilitates crack growth simulation without remeshing requirements ahead of the cracktip as in the classical finite element method.The basic concept and theory of X-FEM was briefly introduced and numerical predictions of stress intensity

Keywords: small time scale model     extended finite element method (X-FEM)     crack growth     multiaxial    

FEM-based strain analysis study for multilayer sheet forming process

Rongjing ZHANG,Lihui LANG,Rizwan ZAFAR

Frontiers of Mechanical Engineering 2015, Volume 10, Issue 4,   Pages 373-379 doi: 10.1007/s11465-015-0371-9

Abstract: To further explore the novel method, this study conducts a finite element method-based (FEM-based) strainanalysis on multilayer blanks by using the 3A method.this study will enhance the knowledge on the mechanics of multilayer structures formed by using the 3A method

Keywords: finite element method (FEM)     strain analysis     multilayer sheet forming    

Ribbon bridge in waves based on hydroelasticity theory

Cong WANG, Shixiao FU, Weicheng CUI

Frontiers of Structural and Civil Engineering 2009, Volume 3, Issue 1,   Pages 57-62 doi: 10.1007/s11709-009-0005-6

Abstract: Based on the 3D hydroelasticity theory, the hydroelastic behavior of the ribbon bridge modeled by finiteelement method (FEM) was analyzed by employing the mode superposition method.It is found that the present method is applicable and adaptable for predicting the hydroelastic response

Keywords: hydroelasticity     ribbon bridge     wave     finite element method (FEM)    

Dynamic analysis of a rig shafting vibration based on finite element

Van Thanh NGO, Danmei XIE, Yangheng XIONG, Hengliang ZHANG, Yi YANG

Frontiers of Mechanical Engineering 2013, Volume 8, Issue 3,   Pages 244-251 doi: 10.1007/s11465-013-0264-8

Abstract:

In recently, finite elements method (FEM) has been used most popular for analysis of stress, vibrationthis paper studies the lateral vibration of the rig shafting with multi-degree-of-freedom by using FEMThe FEM model is created and the eigenvalues and eigenvectors are calculated and analyzed to find natural

Keywords: Finite element method (FEM)     lateral vibration     rig shafting     rotor-bearing system     dynamic characteristics    

Fatigue of asphalt binder, mastic and mixture at low temperature

Dong WANG, Linbing WANG, Guoqing ZHOU

Frontiers of Structural and Civil Engineering 2012, Volume 6, Issue 2,   Pages 166-175 doi: 10.1007/s11709-012-0157-7

Abstract: A new experiment method is developed to evaluate the performances of asphalt binder, mastic and fineare developed to model the fatigue of the asphalt binder, mastic and mixture specimens based on the finiteelement method (FEM).

Keywords: fatigue     asphalt mixture     asphalt binder     mastic     finite element method (FEM)     X-ray tomography    

Maximum entropy based finite element analysis of porous media

Emad NOROUZI, Hesam MOSLEMZADEH, Soheil MOHAMMADI

Frontiers of Structural and Civil Engineering 2019, Volume 13, Issue 2,   Pages 364-379 doi: 10.1007/s11709-018-0470-x

Abstract: The maximum entropy theory has been used in a wide variety of physical, mathematical and engineering applications in the past few years. However, its application in numerical methods, especially in developing new shape functions, has attracted much interest in recent years. These shape functions possess the potential for performing better than the conventional basis functions in problems with randomly generated coarse meshes. In this paper, the maximum entropy theory is adopted to spatially discretize the deformation variable of the governing coupled equations of porous media. This is in line with the well-known fact that higher-order shape functions can provide more stable solutions in porous problems. Some of the benchmark problems in deformable porous media are solved with the developed approach and the results are compared with available references.

Keywords: maximum entropy FEM     fully coupled multi-phase system     porous media    

Flexural-torsional buckling behavior of aluminum alloy beams

Xiaonong GUO,Zhe XIONG,Zuyan SHEN

Frontiers of Structural and Civil Engineering 2015, Volume 9, Issue 2,   Pages 163-175 doi: 10.1007/s11709-014-0272-8

Abstract: Secondly, besides the experiments, a finite element method (FEM) analysis on the flexural-torsional bucklingThe main parameters in the FEM analysis are initial imperfection, material property, cross-section andAccording to the analytical results, it is indicated that the FEM is reasonable to capture mechanical

Keywords: flexural-torsional buckling     aluminum alloy beams (AAB)     finite element method (FEM)     theoretical formula    

Special Column on Multiscale Stochastic Finite Element Method

Frontiers of Structural and Civil Engineering 2015, Volume 9, Issue 2,   Pages 105-106 doi: 10.1007/s11709-015-0297-7

Numerical investigation of the ultimate lateral resistance of piles in soft clay

Konstantinos P. TZIVAKOS,Michael J. KAVVADAS

Frontiers of Structural and Civil Engineering 2014, Volume 8, Issue 2,   Pages 194-200 doi: 10.1007/s11709-014-0251-0

Abstract: The striking differences among these methods require further investigation via 3D finite element analysesThe determination of the ultimate soil resistance from the results of the finite element analyses aims

Keywords: y curves     finite element method (FEM)    

Temperature control of transfer roller’s bearing based on finite element analysis

Peng ZHANG, Yourong LI, Han XIAO

Frontiers of Mechanical Engineering 2009, Volume 4, Issue 2,   Pages 215-218 doi: 10.1007/s11465-009-0026-9

Abstract: First, a globe model of the transfer roller is built for finite element analysis.With finite element analysis, the heat flux is obtained and the minimum working jet capacity is derived

Keywords: transfer roller bearing     finite element analysis     sub-model     temperature control    

Title Author Date Type Operation

The smoothed finite element method (S-FEM): A framework for the design of numerical models for desired

Gui-Rong Liu

Journal Article

Static analysis of corrugated panels using homogenization models and a cell-based smoothed mindlin plateelement (CS-MIN3)

Nhan NGUYEN-MINH, Nha TRAN-VAN, Thang BUI-XUAN, Trung NGUYEN-THOI

Journal Article

An extended cell-based smoothed discrete shear gap method (XCS-FEM-DSG3) for free vibration analysis

M. H. NGUYEN-THOI,L. Le-ANH,V. Ho-HUU,H. Dang-TRUNG,T. NGUYEN-THOI

Journal Article

3D finite element method (FEM) simulation of groundwater flow during backward erosion piping

Kristine VANDENBOER,Vera van BEEK,Adam BEZUIJEN

Journal Article

Two-scale modeling of granular materials: A FEM-FEM approach

Yun-Zhu CAI, Yu-Ching WU

Journal Article

Concurrent fatigue crack growth simulation using extended finite element method

Zizi LU, Yongming LIU,

Journal Article

FEM-based strain analysis study for multilayer sheet forming process

Rongjing ZHANG,Lihui LANG,Rizwan ZAFAR

Journal Article

Ribbon bridge in waves based on hydroelasticity theory

Cong WANG, Shixiao FU, Weicheng CUI

Journal Article

Dynamic analysis of a rig shafting vibration based on finite element

Van Thanh NGO, Danmei XIE, Yangheng XIONG, Hengliang ZHANG, Yi YANG

Journal Article

Fatigue of asphalt binder, mastic and mixture at low temperature

Dong WANG, Linbing WANG, Guoqing ZHOU

Journal Article

Maximum entropy based finite element analysis of porous media

Emad NOROUZI, Hesam MOSLEMZADEH, Soheil MOHAMMADI

Journal Article

Flexural-torsional buckling behavior of aluminum alloy beams

Xiaonong GUO,Zhe XIONG,Zuyan SHEN

Journal Article

Special Column on Multiscale Stochastic Finite Element Method

Journal Article

Numerical investigation of the ultimate lateral resistance of piles in soft clay

Konstantinos P. TZIVAKOS,Michael J. KAVVADAS

Journal Article

Temperature control of transfer roller’s bearing based on finite element analysis

Peng ZHANG, Yourong LI, Han XIAO

Journal Article