A variational principle and the convergence of a finite-element method based on assumed stress distribution

Keywords

Finite element method, Convergence (economics), Mathematics, Extension (predicate logic), Mathematical analysis

References

• A conforming finite element for plate bendingBaudouin Fraeijs de Veubeke — 1968
• A generalization of the direct-stiffness method of structural analysisRobert E. Jones — 1964
• The convergence of finite element method in solving linear elastic problemsTong Pin, T. H. H. Pian — 1967
• Application of the smooth-surface interpolation to the finite-element analysis.A. L. Deak, T. H. H. Pian — 1967

Cited by

• Approximation numérique du cisaillement transverse dans les plaques minces en flexionPhilippe Destuynder, Jean-Claude Nédélec — 1986
• Various double component mode synthesis and sub-structuring methods for dynamic mixed FEMPierre Garambois, Sébastien Besset, L. Jézéquel — 2015
• Finite element modeling of polycristalline solidsPaul R. Dawson, A.J. Beaudoin, K. K. Mathur — 1994
• Benchmark Computation and Finite Element Performance Evaluation for a Rhombic Plate Bending ProblemIvo Babuška, Terenzio Scapolla — 1987
• The reference coordinates and distortion measures for quadrilateral hybrid stress membrane elementKun Yuan, T. H. H. Pian — 1994
• Zwei duale, aus erweiterten Variationsprinzipien hergeleitete Finite‐Element‐MethodenHans Kärcher — 1973
• A stress - hybrid finite element method for Stokes' flowConstantin Brătianu, Satya N. Atluri — 1980
• FEM formulation of four and five noded elements using a linearly varying stress assumptionJohn F. Peters, Ernest Heymsfield — 2004
• Analysis of cracked plates and shells using metis finite element modelNguyen Dang Hung, Thanh Tran — 2004
• A multivariable hierarchical finite element for static and vibration analysis of beamsZhigang Yu, Xiaoli Guo, Fulei Chu — 2010
• Basis of finite element methods for solid continuaT. H. H. Pian, Pin Tong — 1969
• A rational approach for choosing stress terms for hybrid finite element formulationsT. H. H. Pian, Chang‐Chun Wu — 1988
• Present finite element technology from a hybrid formulation perspectiveDavid Sung Yong Kang — 1990
• A hybrid‐Trefftz formulation for plane elasticity with selective enrichment of the approximationsCharlton Okama de Souza, Sérgio Persival Baroncini Proença — 2011
• Relations between incompatible displacement model and hybrid stress modelT. H. H. Pian, Pin Tong — 1986
• Solution errors in finite element analysisSenol Utku, R. J. Melosh — 1984
• A hybrid stress doubly curved shell finite elementH. Alaylioğlu, Rafat Ali — 1977
• A mixed finite element for interlaminar stress computationYibing Shi, Hao Chen — 1992
• On the convergence of a mixed finite element scheme for plate bendingFumio Kikuchi, Yoshio ANDO — 1973
• Discrete approximations related to nonlinear theories of solidsGerald Wempner — 1971

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