tailieunhanh - Energetic Convergence of a New Hybrid Mixed Finite Element

This paper presents a new hybrid double mixed stress (4f-HMS) model, for the static analysis of isotropic plane structures, in which it is assumed a physically and geometrically linear behaviour. | Nội dung Text Energetic Convergence of a New Hybrid Mixed Finite Element Engineering Solid Mechanics 7 2019 291-312 Contents lists available at GrowingScience Engineering Solid Mechanics homepage esm Energetic Convergence of a New Hybrid Mixed Finite Element . Arrudaa . Arrudab and . Lopesb a CERIS-Civil Engineering Research and Innovation for Sustainability Instituto Superior Técnico Universidade de Lisboa Av. Rovisco Pais 1 1049-001 Lisboa Portugal b Instituto Superior Técnic Universidade de Lisboa Av. Rovisco Pais 1 1049-001 Lisboa Portugal A R T I C L EI N F O ABSTRACT Article history This paper presents a new hybrid double mixed stress 4f-HMS model for the static analysis of Received 4 June 2018 isotropic plane structures in which it is assumed a physically and geometrically linear behaviour. Accepted 14 July 2019 The main improvement of this model is it approximates independently the three most important Available online fields in the domain more specifically the strain field the stress field and the displacement field 14 July 2019 Keywords of each element. The displacements along the static boundary considered to include inter-element Hybrid-mixed formulation boundaries are also directly approximated. For the approximation functions in the space domain Stress model Legendre a complete set of orthonormal Legendre polynomials are used. The adoption of these functions polynomials enables the use of analytical closed form solutions for the computation of all linear structural Elastic Strain Energy operators and leads to the development of very effective p- refinement procedures. The model Parametric Convergence being discussed is tested in terms of convergence capabilities using classical elastic strain energy and other common variables in which the monotonic convergence is tested. To validate the model and to illustrate its potential several numerical examples are discussed and comparisons are made with solutions obtained