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BUCKLING ANALYSIS UNDER COMBINED LOADING OF THIN-WALLED PLATE ASSEMBLIES USING bubble functions

Acta Mechanica Solida Sinica 2000年第2期13卷 125-133页

作者： Gao Xuanneng Zou Yinsheng ZHOU Xuhong Department of Civil Engineering Nanchang UniversityNanchang 330029China Institute of Structural Engineering Hunan UniversityChangsha 410082China

bubble functions are finite element modes that are zero on the boundary of the element but nonzero at the other point. The present paper adds bubble functions to the ordinary Complex Finite Strip Method(CFSM) to calculate the elastic local buckling stress of plates and plate assemblies. The results indicate that the use of bubble functions greatly improves the convergence of the Finite Strip Method(FSM) in terms of strip subdivision, and leads to much smaller storage required for the structure stiffness and stability matrices. Numerical examples are given, including plates and plate structures subjected to a combination of longitudinal and transverse compression, bending and shear. This study illustrates the power of bubble functions in solving stability problems of plates and plate structures.

关键词： local buckling bubble functions finite strip method(FSM) complex finite strip method (CFSM) plates and plate assemblies longitudinal(transverse) compression bending and shear

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bubble-enhanced quadrilateral finite element formulation for nonlinear analysis of geotechnical problems

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Underground Space 2018年第3期3卷 229-242页

作者： T.Vu-Hoang T.Vo-Minh H.Nguyen-Xuan Department of Civil Engineering HCMC University of TechnologyHo Chi Minh CityViet Nam Department of Civil Engineering Hutech UniversityHo Chi Minh CityViet Nam Center for Interdisciplinary Research in Technology Hutech UniversityHo Chi Minh CityViet Nam

We investigate a new numerical procedure based on a bubble-enriched finite element formulation in combination with the implicit backward Euler scheme for nonlinear analysis of strip footings and stability of *** soil body is modeled as a perfect plastic Mohr-Coulomb *** displacement field is approximated by a 4-node quadrilateral element discretization enhanced with bubble *** loads and failure mechanisms in cohesive frictional soil are determined by solving a few Newton-Raphson *** results of the present approach are verified by both analytical solutions and other numerical solutions available in the literature.

关键词： Material nonlinear analysis Backward Euler scheme Bearing capacity Slope stability bubble functions Finite elements

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bubble-Enriched Smoothed Finite Element Methods for Nearly-Incompressible Solids

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Computer Modeling in Engineering & Sciences 2021年第5期127卷 411-436页

作者： Changkye Lee Sundararajan Natarajan Jack S.Hale Zeike A.Taylor Jurng-Jae Yee Stephane P.A.Bordas University Core Research Center for Disaster-Free and Safe Ocean City Construction Dong-A UniversityBusan49315Korea Department of Mechanical Engineering Indian Institute of Technology MadrasChennai600036India Faculty of Science Technology and CommunicationUniversity of LuxembourgEsch-sur-AlzetteL-4364Luxembourg CISTIB-Center for Computational Imaging&Simulation Technologies in Biomedicine School of EngineeringLeedsLS29JTUK

This work presents a locking-free smoothed finite element method(S-FEM)for the simulation of soft matter modelled by the equations of quasi-incompressible *** proposed method overcomes well-known issues of standard finite element methods(FEM)in the incompressible limit:the over-estimation of stiffness and sensitivity to severely distorted *** concepts of cell-based,edge-based and node-based S-FEMs are extended in this paper to ***,a cubic bubble function is utilized to improve accuracy and *** the bubble function,an additional displacement degree of freedom is added at the centroid of the *** numerical studies are performed demonstrating the stability and validity of the proposed *** obtained results are compared with standard FEM and with analytical solutions to show the effectiveness of the method.

关键词： Strain smoothing smoothed finite element method bubble functions hyperelasticity mesh distortion

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