Basis of finite element methods for solid continua
From MaRDI portal
Publication:5666270
DOI10.1002/nme.1620010103zbMath0252.73052OpenAlexW1967758632MaRDI QIDQ5666270
Pin Tong, Theodore Hsueh-huang Pian
Publication date: 1969
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/nme.1620010103
Related Items (73)
A SET OF HYBRID EQUILIBRIUM FINITE ELEMENT MODELS FOR THE ANALYSIS OF THREE-DIMENSIONAL SOLIDS ⋮ Unnamed Item ⋮ A mixed solid-shell element for the analysis of laminated composites ⋮ Analysis of a family of HDG methods for second order elliptic problems ⋮ Unnamed Item ⋮ Simple and effective elements based upon Timoshenko-Mindlin shell theory ⋮ Classification of stress modes in assumed stress fields of hybrid finite elements ⋮ Primal hybrid method for quasilinear parabolic problems ⋮ Error estimates for mixed finite element approximations of nonlinear problems ⋮ Improved hybrid boundary solution for shell elements ⋮ A family of Multiscale Hybrid-Mixed finite element methods for the Darcy equation with rough coefficients ⋮ On Chien's question to the Hu-Washizu three-field functional and variational principle ⋮ A survey of parametrized variational principles and applications to computational mechanics ⋮ On the convergence of the primal hybrid finite element method on quadrilateral meshes ⋮ Stabilization schemes for 12-node to 21-node brick elements based on orthogonal and consistently assumed stress modes ⋮ Elimination of spurious static modes in meshes of hybrid compatible triangular and tetrahedral finite elements ⋮ A modified Hellinger-Reissner variational functional including only two independent variables for large displacement of thin shallow shell ⋮ Primal hybrid finite element method for the linear elasticity problem ⋮ Efficient fundamental solution based finite element for 2-D dynamics ⋮ QR-factorization of partitioned matrices. Solution of large systems of linear equations with non-definite coefficient matrices ⋮ Use of algebraic dual spaces in domain decomposition methods for Darcy flow in 3D domains ⋮ A partial hybrid stress solid-shell element for the analysis of laminated composites ⋮ Generalized mixed variational principles and solutions of ill-conditioned problems in computational mechanics. II: Shear locking. ⋮ Zur Berechnung von Platten nach der Theorie II. Ordnung mit Hilfe eines hybriden Deformationsmodells ⋮ An overview and recent advances in vector and scalar formalisms: space/time discretizations in computational dynamics -- a unified approach ⋮ Hybrid-Trefftz quadrilateral elements for thick plate analysis ⋮ An iterative algorithm for finite element analysis. ⋮ Numerical prediction of wave forces using the boundary element method ⋮ Virtual element methods for plate bending problems ⋮ Assessment of variational fundamental solution based elements in plate bending dynamics ⋮ A unified study of continuous and discontinuous Galerkin methods ⋮ Analysis of landslides employing a space-time single-phase level-set method ⋮ Numerical technique for solving truss and plane problems for a new class of elastic bodies ⋮ Two-dimensional model of base force element method (BFEM) on complementary energy principle for geometrically nonlinear problems ⋮ A hybrid brick element with rotational degrees of freedom ⋮ REISSNER-MINDLIN EXTENSIONS OF KIRCHHOFF ELEMENTS FOR PLATE BENDING ⋮ A coupling of hybrid mixed and continuous Galerkin finite element methods for poroelasticity ⋮ On a finite element scheme based on the discrete Kirchhoff assumption ⋮ A monolithic approach to fluid-structure interaction using space-time finite elements ⋮ A mixed finite element method for the solutions of the von Kármán equations ⋮ Variational formulation of linear problems with nonhomogeneous boundary conditions and internal discontinuities ⋮ Equivalence between mixed models and displacement models sing reduced integration ⋮ Incremental variational principles and finite element models for nonlinear problems ⋮ Classical and recent formulations for linear elasticity ⋮ Direct limit analysis via rigid-plastic finite elements ⋮ The solid variational principles of the discrete form - Variational principles of the discrete analysis by the finite element method ⋮ A stabilized hybrid mixed finite element method for poroelasticity ⋮ Variational principles for incremental finite element methods ⋮ Thin shell finite element by the mixed method formulation. I ⋮ A mixed finite element method close to the equilibrium model ⋮ A Classification of Interface Treatments for FSI ⋮ Recent developments in parametrized variational principles for mechanics ⋮ Basis for development of large finite elements locally satisfying all field equations ⋮ A hybrid-mixed method for elasticity ⋮ Primal hybrid method for parabolic problems ⋮ On discontinuous Galerkin methods ⋮ Primal hybrid finite element method for fourth order parabolic problems ⋮ Simplified methods and a posteriori error estimation for the homogenization of representative volume elements (RVE) ⋮ Finite element incremental analysis of elastoplastic plate bending ⋮ Unnamed Item ⋮ A general purpose finite element system code via computationally effective hybrid formulation ⋮ Hybrid-Trefftz stress elements for incompressible biphasic media ⋮ A hybrid finite element method to compute the free vibration frequencies of a clamped plate ⋮ A numerical study of necking in circular cylindrical bars ⋮ Application of general variational methods with discontinuous fields to bending, buckling, and vibration of beams ⋮ Base force element method of complementary energy principle for large rotation problems ⋮ Solid mechanics of discrete form and the variational principles of discontinuous form ⋮ Weighted residuals as a basis of a general solution method in elasticity ⋮ Upper bounds of the error in local quantities using equilibrated and compatible finite element solutions for linear elastic problems ⋮ Bending and vibration of composite laminated plates ⋮ Variational principles and the patch test ⋮ On the problem of axisymmetrically loaded shells of revolution with small elastic strains and arbitrarily large axial deflections ⋮ Unnamed Item
Cites Work
This page was built for publication: Basis of finite element methods for solid continua