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Sunday, November 1, 2020 | History

3 edition of **A Taylor-Galerkin finite element algorithm for transient nonlinear thermal-structural analysis** found in the catalog.

A Taylor-Galerkin finite element algorithm for transient nonlinear thermal-structural analysis

Earl A. Thornton

- 28 Want to read
- 38 Currently reading

Published
**1986** by Dept. of Mechanical Engineering and Mechanics, School of Engineering, Old Dominion University, National Aeronautics and Space Administration, National Technical Information Service, distributor in Norfolk, Va, [Washington, D.C, Springfield, Va .

Written in English

**Edition Notes**

Other titles | Taylor Galerkin finite element algorithm for transient nonlinear thermal-structural analysis |

Statement | by Earl A. Thornton and Pramote Dechaumphai |

Series | NASA contractor report -- NASA CR-177064 |

Contributions | Dechaumphai, Pramote, United States. National Aeronautics and Space Administration |

The Physical Object | |
---|---|

Format | Microform |

Pagination | 1 v |

ID Numbers | |

Open Library | OL14982374M |

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E.A. Thornton, P. DechaumpaiA Taylor-Galerkin finite element algorithm for transient nonlinear thermal-structural analysis Proc. AIAA/ASME/ASCE/AHS 27th Structures, Structural Dynamics and Materials Conference, AIAACP, San Antonio, Texas (19–21 May )Cited by: Get this from a library.

A Taylor-Galerkin finite element algorithm for transient nonlinear thermal-structural analysis. [Earl A Thornton; Pramote Dechaumphai; United States. National Aeronautics and Space Administration.]. Get this from a library.

A Taylor-Galerkin finite element algorithm for transient nonlinear thermal-structural analysis: progress report for the period January 1, to June 1, [Earl A Thornton; Pramote Dechaumphai; United States. National Aeronautics and Space Administration.]. A Taylor-Galerkin finite element method for solving large, nonlinear thermal-structural problems is presented.

The algorithm is formulated for coupled transient and uncoupled quasistatic thermal-structural problems. Vectorizing strategies ensure computational : P.

Dechaumphai and E. Thornton. E.A. Thornton and P. Dechaumphai, “Taylor—Galerkin finite element algorithm for transient nonlinear thermal-structural analysis,” presented at The AIAA/ ASME/ASCE/AHS 21th Structures, Structural Dynamics and Materials Conference (May19–21,), AIAA 86– CP, AIAA, New York, Google ScholarAuthor: Earl A.

Thornton, Pramote Dechaumphai. E.A. Thornton and E Dechaumpai, A Taylor-Galerkin finite element algorithm for transient nonlinear thermal-structural analysis, in: Proceedings AIAA/ASME/ASCE/AHS 27th SDM Conference, San Antonio, TX, [16]. E.A.

Thornton, P. DechaumphaiA Taylor-Galerkin finite element algorithm for transient nonlinear thermal-structural analysis AIAA/ASME/ASCE/ AHS 27th SDM Conf (2nd Edn.), AIAACP () Google Scholar. A TAYLOR-GALERKIN FINITE ELEMENT ALGORITHM FOR TRANSIENT NONLINEAR THERMAL-STRUCTURAL ANALYSIS BY Earl A.

Thornton' and Pramote Dechaumphai* INTRODUCTION The determination of the structural response induced by therrnal effects is an important factor in many aerospace structural designs.

Extreme aero. an effective approach for finite element thermal -structural analysis. The purpose of this paper is to present a Taylor-Galerkin finite element method for solving large, nonlinear transient thermal- structural problems.

The method is an application of a Taylor-Galerkin algorithm. A Taylor-Galerkin finite element solution algorithm for transient nonlinear thermal-structural analysis of large, complex structural problems subjected to rapidly applied thermal-structural loads.

A Taylor-Galerkin finite element method for solving large, nonlinear thermal-structural problems is presented. The algorithm is formulated for coupled transient and uncoupled quasistatic thermal.

Sung-Kie Youn and Sang-Hoon Park, A new direct higher-order Taylor-Galerkin finite element method, Computers & Structures, 56, 4, (), (). Crossref Jintai Chung and Jang Moo Lee, A new family of explicit time integration methods for linear and non‐linear structural dynamics, International Journal for Numerical Methods in Engineering.

An unexpected benefit of the nonlinear Taylor-Galerkin algorithm developed for the flow analysis is its capability for nonlinear structural analysis 4~. 42 Temperature-dependent stress-strain relations and large deformations are accommodated by updating the finite element matrices 20 Allan R Witting et al.

R ~ 2so R Tmax = R ~ t. Kumar K. Tamma and Raju R. Namburu, EXPLICIT SECOND-ORDER ACCURATE TAYLOR-GALERKIN-BASED FINITE-ELEMENT FORMULATIONS FOR LINEAR/NONLINEAR TRANSIENT HEAT TRANSFER, Numerical Heat Transfer, 13, 4, (), ().

Thornton and P. Dechaumphai, "Taylor-Galerkin finite element algorithm for transient nonlinear thermal-structural analysis,"27th Structures, Structural Dynamics, and Materials Conference. A Collection of the Technical Papers. Part 1. San Antonio, Texas. May 19–21,pp. – Mathematics of Transport Phenomena 3 boundaries and free interfaces can be solved in a ﬁxed or movi ng reference frame.

Parallelization and vectorization make it. various types of Taylor-Galerkin methods. In recent years. many other versions of the method have been proposed (e.g.

[]). In this paper we present a study of a family of Taylor-Galerkin methods for the numerical solution of the Euler equations of gas dynamics by means of an arbitrary It-p finite elcment approximation in the space variables.

Nikolaos D. Katopodes, in Free-Surface Flow, Finite-Element Analysis. The finite element approximation presented in section can be extended to two space dimensions without major conceptual difficulties.

However, it is important to discuss at this point an alternative approach to the finite element approximation, and to compare and contrast it with the weighted residual method.

The Finite Element Method 5 Nonlinear Analysis 7 Introduction 7 ClassiÞcation of Nonlinearities 7 The Big Picture 11 References 12 2 The Finite Element Method: A Review 13 Introduction 13 One-Dimensional Problems 13 Governing Diﬀerential Equation 13 Finite Element Approximation In this chapter a finite element method for analysing transient non-Newtonian flow is presented.

Examples of transient non-Newtonian flows occur widely in industry in many situations e.g. extrusion, spinning, injection and blow moulding. Numerical simulation of such problems is facilitated through the theory embodied in Computational Fluid Dynamics.

However, several aspects must be considered for finite-element simulations which are specific for non-linear problems: These problems require the knowledge and the understanding of theoretical foundations and their finite-element discretization as well as algorithms for solving the non-linear equations.

This book provides the reader with the. Finite Element Thermal Analysis Thermal rod element From the above analogy the matrix equations of a single element (from sections and ) is Symbol Label Item Application ρ DENS Mass density Transient c C Specific heat, at constant pressure Transient k KX Thermal conductivity Steady state and transient.

Tamma, K. and Namburu, R. (b), “Explicit Second-Order Accurate Taylor-Galerkin Based Finite Element Formulation for Linear/Nonlinear Transient. Enhanced Nonlinear Algorithm for the Transient Analysis of Magnetic Field and Electric Circuit Coupled Problems Abstract: The time stepping finite element method based on the backward Euler's method has been widely used to simulate transient electromagnetic fields.

elements is defined and each one of the four new elements has a Icvel one unit higher than the parent element (for more details about the data structures sce Reference 3). An adaptivc proccdure for stcady-state solutions of the Euler equations involves the foIlowing stcps: 1.

For a given finite element grid determinc thc steady-state solution. Numerical analysis of heat transfer [12], [13] has been indepen-dently though not exclusively, developed in three main streams: the finite differences method [22], [24], the finite element method.

@article{osti_, title = {Implicit three-dimensional finite-element formulation for the nonlinear structural response of reactor components}, author = {Kulak, R F and Belytschko, T B}, abstractNote = {The formulation of a finite-element procedure for the implicit transient and static analysis of plate/shell type structures in three-dimensional space is described.

lems is also important, because the application of finite element methods shows much promise for the solu- tion of coupled stress and field problems [6].

The objective in this paper is to present a general and effective incremental finite element formulation for analysis of nonlinear steady-state and transient. development of efficient algorithms for generating the finite element equations.

A Taylor-Galerkin algorithm, first developed by Donea [] for convective transport problems, was applied for the analysis of high-speed flows []. The desire for a single methodology to analyzethermal, and. Hou-Cheng Huang, Zheng-Hua Li and Asif S. Usmani, Finite Element Analysis for Transient Non-Newtonian Flow, Finite Element Analysis of Non-Newtonian Flow.

Integrated Fluid-Thermal-Structural Analysis using Unstructured Meshes Fully coupled analysis using Taylor-Galerkin finite element formulation Dechaumphai et.

LaRC, Circa Structural analysis of built-up structures rarely use meshes of the “continuum” (3D elasticity equations). Built-up. Finite element solution of non‐linear heat conduction problems with special reference to phase change.

The paper presents a generally applicable approach to transient heat conduction problems with non‐linear physical properties and boundary conditions. An unconditionally stable central algorithm is used which does not require iteration. Explicit Second-Order Accurate Taylor-Galerkin Based Finite Element Formulation for Linear/Nonlinear Transient Heat Transfer.

Numerical Heat Transfer, Tamma and Railkar, a Tamma, K. and Railkar, S. (a). A Generalized Hybrid Transfinite Element Computational Approach for Nonlinear/Linear Unified Thermal/Structural Analysis.

The idea has been practically verified using the Taylor-Galerkin method combined with an artificial viscosity term proposed by Hughes and Johnson, in context ofh-adaptive linear finite elements.

This text presents an introduction to the application of the finite ele ment method to the analysis of heat transfer problems.

The discussion has been limited to diffusion and convection type of heat transfer in solids and fluids. The main motivation of writing this book stems from two facts. @article{osti_, title = {Nonlinear explicit transient finite element analysis on the Intel Delta}, author = {Plaskacz, E J and Ramirez, M R and Gupta, S}, abstractNote = {Many large scale finite element problems are intractable on current generation production supercomputers.

High-performance computer architectures offer effective avenues to bridge the gap between computational needs. “In this book finite elements and discontinuous Galerkin (DG) methods are employed for the solution of wave equations. The book consists of a preface and eight chapters.

Each chapter concludes with a list of references. It is an excellent reference for researchers working on numerical solutions of transient. Purchase Computational Methods in Nonlinear Structural and Solid Mechanics - 1st Edition.

Print Book & E-Book. ISBNparticularly important in nonlinear finite element analysis because physical test data are frequently not available. INTRODUCTION Finite element methods are now widely used in engineering analysis and we can expect a continued growth in the use of these methods.

Finite element programs are extensively. T25 Finite Element Analysis of Fully Coupled Transient Thermo-Elasticity.- T26 Application of Pade Approximants to the Simulation of Fluid-Structure Interactions in Irregular Seaways.- T21 An Iteration Method for a Nonlinear Shear Flow Through a Heavily Loaded Actuator Disk with a Large Hub.

Finite Element Analysis of Transient Heat Flow We have studied steady-state heat flow, but often it is necessary to examine a time varying flow.

There are cases where closed form expressions can be found for the temperature of a point in an object as a function of time.

The use of numerical techniques to solve such problems is therefore considered essential, and this book presents the use of the powerful finite element method in heat transfer analysis.

Starting with the fundamental general heat conduction equation, the book moves on to consider the solution of linear steady state heat conduction problems Reviews: 2.A formulation is presented for the transient analysis of space frames in large displacement, small strain problems.

For purposes of treating arbitrarily large rotations, node orientations are described by unit vectors and deformable elements are treated by a co‐rotational (rigid‐convected) description.