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Showing 1 to 20 of 379 for “"Finite elements"”.
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Physical finite elements
… more complicated and computationally intensive finite element simulations. Finally, we undertake an ambitious design study using these tools, using both simulation and physical testing to predict performance. The results suggest the feasibility of building skinned, lighter-than-air digital …
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Automated Finite Elements
Finite element methods (FEMs) are a powerful and ubiquitous tool for solving engineering problems. Experimenting with different finite elements can improve the quality and efficiency of solutions. Furthermore, in some cases, the wrong (but nonetheless most common) choice of finite element will …
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Polygonal finite elements for finite elasticity
… interest, but challenging to model with standard finite elements. The challenges arise because nonlinear elastic materials undergo large reversible deformations, and often possess complex micro-structures. In this work, we propose and explore an alternative approach to model finite elasticity …
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Adaptive finite elements for viscoelastic deformation problems
… purpose of this study is to analyse adaptive finite element algorithms for the numerical solution of the quasistatic equations governing the small displacement of a viscoelastic body subjected to prescribed body forces and tractions. Such algorithms for the hereditary integral formulation have …
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Transient nonlinear heat transfer using finite elements
… as well as point sources in the domain. The finite element spatial semidiscretisation of the equations is formally derived from the weak form of the governing equations. Temporal discretisation is obtained through an implicit/explicit difference scheme. The material properties are allowed to …
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Shell finite elements, with applications in biomechanics
… of a formulation for thin shells, and its finite element approximation, with the goal of modelling soft, thin biological tissues. The rigorous but complex theory due to Simo and Fox (1986) is presented in an accessible manner, with detailed derivations where appropriate. The presentation is …
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An evaluation of low-order finite elements
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 1999.
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Bilinear Immersed Finite Elements For Interface Problems
In this dissertation we discuss bilinear immersed finite elements (IFE) for solving interface problems. The related research works can be categorized into three aspects: (1) the construction of the bilinear immersed finite element spaces; (2) numerical methods based on these IFE spaces for solving …
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Stabilized finite elements for compressible turbulent Navier-Stokes
In this research a stabilized finite element approach is utilized in the development of a high-order flow solver for compressible turbulent flows. The Reynolds averaged Navier-Stokes (RANS) equations and modified Spalart-Almaras (SA) turbulence model are discretized using the streamline/upwind …
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On triangular finite elements for general shell structures
In general, triangular elements are most efficient to discretize arbitrary shell geometries. However, in shell finite element analysis, usually quadrilateral elements are used due to their better performance. Indeed, there does not exist yet a "uniformly optimal" triangular shell element. The work …
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Enriching low-order finite elements by interpolation covers
This dissertation presents an enriched finite element procedure based on the use of interpolation cover functions for low-order finite elements, namely, the 3-node triangular and 4- node tetrahedral elements. The standard linear finite element shape functions are coupled with interpolation cover …
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Development and Applications of Finite Elements in Time Domain
… formulation is used for developing the time finite element method (TFM) to obtain transient responses of both linear, nonlinear, damped and undamped systems. Also the formulation, used in the h-, p- and hp-versions, is extended and found to be readily amenable to multi-degree-of-freedom …
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Polymer nanocomposites characterization by a stochastic finite elements representation
… introduces a new multiscale stochastic finite element method (MSFEM) for determining the mechanical properties of polymer nanocomposites (PNC) consisting of polymers reinforced with single-wall carbon nanotubes (SWCNT). Obviously, reliable characterization of the various properties of …
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Gravitational tectonic and static seismic modeling with finite elements
Includes bibliographical references (pages 105-109; supplement: pages 131).
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Finite elements analysis of pipe deformation in oil wells
Includes bibliographical references (pages 55-58).
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High Order Finite Elements for Lagrangian Computational Fluid Dynamics
A general finite element method is presented to solve the Euler equations in a Lagrangian reference frame. This FEM framework allows for separate arbitrarily high order representation of kinematic and thermodynamic variables. An accompanying hydrodynamics code written in Matlab is presented as a …
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Sector Finite Elements in the Theory of Plane Elasticity
Made available in DSpace on 2014-12-12T00:25:46Z (GMT). No. of bitstreams: 1 7206905.pdf: 3245233 bytes, checksum: 52a79eefb4691d95f0d22a0c72de9bde (MD5) Previous issue date: 1971
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Explicit stiffness matrices for triangular, plate bending finite elements
… are available for rectangular plate bending elements, rectangular plane stress and plane strain elements and triangular plane stress and plane strain elements. Triangular plate bending elements can at present only be formed by using a numeric algorithm. The explicit version of a stiffness …
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