Hybrid trefftz plane elasticity elements withp -method capabilities

DOI10.1002/nme.1620350705zbMath0775.73259OpenAlexW2104640792MaRDI QIDQ4029467

Agaram Venkatesh, Jaroslav Jirousek

Publication date: 31 March 1993

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.1620350705

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Elastic materials (74B99)

Related Items (32)

Hybrid Trefftz finite-element approach for plate bending on an elastic foundation ⋮ Special Trefftz Elements and Improvement of Their Conditioning ⋮ A hybrid Trefftz plane elasticity element with drilling degrees of freedom ⋮ Least‐squares T‐elments: Equivalent FE and BE forms of a substructure‐oriented boundary solution approach ⋮ Formulating an effective generalized four-sided element ⋮ An effective membrane element based on analytical solution ⋮ Models of corner and crack singularity of linear elastostatics and their numerical solutions ⋮ Combined Trefftz methods of particular and fundamental solutions for corner and crack singularity of linear elastostatics ⋮ Hybrid-Trefftz finite element method for Reissner plates on an elastic foundation ⋮ Postbuckling analysis of thin plates on an elastic foundation by HT FE approach ⋮ Mode III fracture analysis by Trefftz boundary element method ⋮ Hybrid displacement function element method: a simple hybrid-Trefftz stress element method for analysis of Mindlin-Reissner plate ⋮ Hybrid and collocation Trefftz methods for traction boundary conditions in linear elastostatics ⋮ Mixed types of boundary conditions at corners of linear elastostatics and their numerical solutions ⋮ Hybrid Trefftz polygonal elements for heat conduction problems with inclusions/voids ⋮ Revisit of two classical elasticity problems by using the Trefftz method ⋮ Transient plate bending analysis by hybrid Trefftz element approach ⋮ Application of a direct Trefftz method with domain decomposition to 2D potential problems ⋮ Error analysis of the method of fundamental solutions for linear elastostatics ⋮ Fundamental-solution-based hybrid FEM for plane elasticity with special elements ⋮ Finite element linear and nonlinear, static and dynamic analysis of structural elements: a bibliography (1992‐1995) ⋮ Some remarks on Trefftz type approximations ⋮ A hybrid-Trefftz formulation for plane elasticity with selective enrichment of the approximations ⋮ Error estimates and adaptive finite element methods ⋮ Formulation of hybrid Trefftz finite element method for elastoplasticity ⋮ Crack propagation modelled by T‐elements ⋮ Comments on ``Development of two-dimensional elements with a central circular hole, A. K. Soh, Z. F. Long ⋮ Changing variables in Taylor series with applications to PDEs ⋮ Corner and crack singularity of different boundary conditions for linear elastostatics and their numerical solutions ⋮ On rank-deficiency in direct Trefftz method for 2D Laplace problems ⋮ A family of quadrilateral hybrid-Trefftz \(p\)-elements for thick plate analysis ⋮ Postbuckling analysis of thin plates by a hybrid Trefftz finite element method

Cites Work

• A Hybrid/Finite Element Approach for Stress Analysis of Notched Anisotropic Materials
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