C continuity elements by hybrid stress method
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C continuity elements by hybrid stress method

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Published by National Aeronautics and Space Administration in [Washington, D.C.?] .
Written in English


  • Finite element method.

Book details:

Edition Notes

StatementDavid Sung-Soo Kang.
SeriesNASA contractor report -- 189040., NASA contractor report -- NASA CR-189040.
ContributionsUnited States. National Aeronautics and Space Administration.
The Physical Object
Pagination1 v.
ID Numbers
Open LibraryOL15391909M

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The hybrid stress technique is used to explicitly enforce stress equi-librium throughout the element domain and stress continuity conditions at layer interfaces. The emphasis of this research is to explore a variety of possible element configurations to assess element performance. The optimum 2-D and 3-D element formulations demonstrate. This book has one single purpose: to present the development of the partial hybrid finite element method for the stress analysis of laminated composite structures. The reason for this presentation is because the authors believe that partial hybrid finite element method is more efficient that the displacement based finite element method for the. KEY WORDS: Hybrid stress elements, continuum damage. INTRODUCTION The stress model of the hybrid-mixed formulation and the displacement model of the hybrid and hybrid-Trefftz formulations of the finite element method [1] have been recently applied to the analysis of concrete structures using isotropic elastic continuum damage models [2]. Interelement continuity conditions are imposed ‘a posteriori’, as in hybrid elements. The derivation of the element matrices is based upon the equations expressing equilibrium, compatibility and the constitutive relations without explicitly using variational principles.

Using the inverse method, investigate which problem can be solved by the two-dimensional stress distribution σ x = Axy, τ xy = B + Cy 2, σ y = 0, where A, B, and C are constants. First show that the proposed stress field (with zero body force) satisfies the stress formulation field equations under the condition that C = −A/2. A. Reusken, Multigrid Applied to Mixed Finite Element Schemes for Current Continuity Equations, Preprint Technical University Einhoven () Google Scholar [13] Veubeke, B. FraeIJs DE, Displacement and Equilibrium Models in the Finite Element Method in “Stress Analysis” (O. C. Zienkiewicz, G. Hollister, eds.), John Wiley and Sons, New York. In a stress-based approach we employ the complementary energy norm of the stress tensor. These thermodynamically motivated definitions result, for ductile damage, in symmetric elastic-damage moduli. Finite Element Analysis of Solids and Fluids, Molecular Modeling and Simulation for Mechanics, and Computational Mechanics of Materials. Over the years, I have had the opportunity to regularly teach the second and third of these subjects, and (formerly known as ), and the current four volumes.

Hybrid-stress triangular finite element with enhanced performance for statics and dynamics. this type of interpolation guarantees the continuity of normal traction vector on an edge between two neighboring elements. Fortin and Hybrid Finite Element Methods, volume Springer Science & Business Media (). An overview on the development of hybrid fundamental solution based finite element method (HFS-FEM) and its application in engineering problems is presented in this paper. The framework and formulations of HFS-FEM for potential problem, plane elasticity, three-dimensional elasticity, thermoelasticity, anisotropic elasticity, and plane piezoelectricity are presented.   Comparison with hybrid elements The cantilever beam presented in Fig. 3 is used to evaluate the performance of the two-dimensional hybrid element in [6] and three-dimensional hybrid element in [1]. In this work the same example is used to demonstrate that the same accuracy can be obtained with the least-squares stress recovery method. element are demonstrated by some numerical examples. 2. ELEMENT FORMULATION Since Pian [6] first established the assumed stress finite element model and derived the corresponding element stiffness matrix, the hybrid stress model has been shown highly accurate, and easy to fulfill the compatibility condition of the finite element method.