A Pragmatic Introduction to the Finite Element Method for Thermal and Stress Analysis

With the Matlab Toolkit SOFEA

Author: Petr Krysl

Publisher: World Scientific Publishing Company

ISBN: 9813101814

Category: Science

Page: 292

View: 6676

This textbook provides an accessible and self-contained description of the Galerkin finite element method for the two important models of continuum mechanics, transient heat conduction and elastodynamics, from formulation of the governing equations to implementation in Matlab. The coverage follows an intuitive approach: the salient features of each initial boundary value problem are reviewed, including a thorough description of the boundary conditions; the method of weighted residuals is applied to derive the discrete equations; and clear examples are introduced to illustrate the method.

Inside Finite Elements

Author: Martin Weiser

Publisher: Walter de Gruyter GmbH & Co KG

ISBN: 3110386186

Category: Mathematics

Page: 157

View: 327

All relevant implementation aspects of finite element methods are discussed in this book. The focus is on algorithms and data structures as well as on their concrete implementation. Theory is covered only as far as it gives insight into the construction of algorithms. In the exercises, a complete FE-solver for stationary 2D problems is implemented in Matlab/Octave. Contents: Finite Element Fundamentals Grids and Finite Elements Assembly Solvers Error Estimation Mesh Refinement Multigrid Elastomechanics Fluid Mechanics Grid Data Structure Function Reference

Essentials of Applied Dynamic Analysis

Author: Junbo Jia

Publisher: Springer Science & Business Media

ISBN: 3642370039

Category: Technology & Engineering

Page: 424

View: 1484

This book presents up-to-date knowledge of dynamic analysis in engineering world. To facilitate the understanding of the topics by readers with various backgrounds, general principles are linked to their applications from different angles. Special interesting topics such as statistics of motions and loading, damping modeling and measurement, nonlinear dynamics, fatigue assessment, vibration and buckling under axial loading, structural health monitoring, human body vibrations, and vehicle-structure interactions etc., are also presented. The target readers include industry professionals in civil, marine and mechanical engineering, as well as researchers and students in this area.

Engineering Dynamics and Vibrations

Author: Junbo Jia,Jeom Kee Paik

Publisher: CRC Press

ISBN: 1351646214

Category: Technology & Engineering

Page: 390

View: 6748

Engineering dynamics and vibrations has become an essential topic for ensuring structural integrity and operational functionality in different engineering areas. However, practical problems regarding dynamics and vibrations are in many cases handled without success despite large expenditures. This book covers a wide range of topics from the basics to advances in dynamics and vibrations; from relevant engineering challenges to the solutions; from engineering failures due to inappropriate accounting of dynamics to mitigation measures and utilization of dynamics. It lays emphasis on engineering applications utilizing state-of-the-art information.

The Finite Element Method in Heat Transfer and Fluid Dynamics, Second Edition

Author: J. N. Reddy,D.K. Gartling

Publisher: CRC Press

ISBN: 9780849323553

Category: Science

Page: 469

View: 6039

The numerical simulation of fluid mechanics and heat transfer problems is now a standard part of engineering practice. The widespread availability of capable computing hardware has led to an increased demand for computer simulations of products and processes during their engineering design and manufacturing phases. The range of fluid mechanics and heat transfer applications of finite element analysis has become quite remarkable, with complex, realistic simulations being carried out on a routine basis. The award-winning first edition of The Finite Element Method in Heat Transfer and Fluid Dynamics brought this powerful methodology to those interested in applying it to the significant class of problems dealing with heat conduction, incompressible viscous flows, and convection heat transfer. The Second Edition of this bestselling text continues to provide the academic community and industry with up-to-date, authoritative information on the use of the finite element method in the study of fluid mechanics and heat transfer. Extensively revised and thoroughly updated, new and expanded material includes discussions on difficult boundary conditions, contact and bulk nodes, change of phase, weighted-integral statements and weak forms, chemically reactive systems, stabilized methods, free surface problems, and much more. The Finite Element Method in Heat Transfer and Fluid Dynamics offers students a pragmatic treatment that views numerical computation as a means to an end and does not dwell on theory or proof. Mastering its contents brings a firm understanding of the basic methodology, competence in using existing simulation software, and the ability to develop some simpler, special purpose computer codes.

Incompressible Flow and the Finite Element Method, Isothermal Laminar Flow

Author: P. M. Gresho,R. L. Sani

Publisher: Wiley

ISBN: 9780471492504

Category: Science

Page: 632

View: 907

This comprehensive two-volume reference covers the application of the finite element method to incompressible flows in fluid mechanics, addressing the theoretical background and the development of appropriate numerical methods applied to their solution. Volume One provides extensive coverage of the prototypical fluid mechanics equation: the advection-diffusion equation. For both this equation and the equations of principal interest - the Navier-Stokes equations (covered in detail in Volume Two) - a discussion of both the continuous and discrete equations is presented, as well as explanations of how to properly march the time-dependent equations using smart implicit methods. Boundary and initial conditions, so important in applications, are carefully described and discussed, including well-posedness. The important role played by the pressure, so confusing in the past, is carefully explained. The book explains and emphasizes consistency in six areas: * consistent mass matrix * consistent pressure Poisson equation * consistent penalty methods * consistent normal direction * consistent heat flux * consistent forces Fully indexed and referenced, this book is an essential reference tool for all researchers, students and applied scientists in incompressible fluid mechanics.

Incompressible Flow and the Finite Element Method, Incompressible Flow & the Finite Element Method - Advection-Diffusion & Isothermal Laminar Flow Combined Edition (Cloth)

Author: P. M. Gresho,R. L. Sani,Michael S. Engelman

Publisher: Wiley

ISBN: 9780471967897

Category: Science

Page: 1021

View: 3527

This comprehensive reference work covers all the important details regarding the application of the finite element method to incompressible flows. It addresses the theoretical background and the detailed development of appropriate numerical methods applied to the solution of a wide range of incompressible flows, beginning with extensive coverage of the advection-diffusion equation in volume one. For both this equation and the equations of principal interest - the Navier-Stokes equations, covered in detail in volume two - detailed discussion of both the continuous and discrete equations is presented, as well as explanations of how to properly march the time-dependent equations using smart implicit methods. Boundary and initial conditions, so important in applications, are carefully described and discussed, including well-posedness. The important role played by the pressure, so confusing in the past, is carefully explained. Together, this two volume work explains and emphasizes consistency in six areas: ? consistent mass matrix ? consistent pressure Poisson equation ? consistent penalty methods ? consistent normal direction ? consistent heat flux ? consistent forces Fully indexed and referenced, this book is an essential reference tool for all researchers, students and applied scientists in incompressible fluid mechanics.

Incompressible Flow and the Finite Element Method, Advection-Diffusion and Isothermal Laminar Flow

Author: P. M. Gresho,R. L. Sani

Publisher: Wiley

ISBN: 9780471492498

Category: Science

Page: 480

View: 754

This comprehensive two-volume reference covers the application of the finite element method to incompressible flows in fluid mechanics, addressing the theoretical background and the development of appropriate numerical methods applied to their solution. Volume One provides extensive coverage of the prototypical fluid mechanics equation: the advection-diffusion equation. For both this equation and the equations of principal interest - the Navier-Stokes equations (covered in detail in Volume Two) - a discussion of both the continuous and discrete equations is presented, as well as explanations of how to properly march the time-dependent equations using smart implicit methods. Boundary and initial conditions, so important in applications, are carefully described and discussed, including well-posedness. The important role played by the pressure, so confusing in the past, is carefully explained. The book explains and emphasizes consistency in six areas: * consistent mass matrix * consistent pressure Poisson equation * consistent penalty methods * consistent normal direction * consistent heat flux * consistent forces Fully indexed and referenced, this book is an essential reference tool for all researchers, students and applied scientists in incompressible fluid mechanics.

Design News

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Engineering design

Page: N.A

View: 5888

Metals Abstracts

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Metallurgy

Page: N.A

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Choice

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Best books

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Indexes to ... Publications

Author: American Society of Mechanical Engineers

Publisher: N.A

ISBN: N.A

Category: Engineering

Page: N.A

View: 1790

Transactions of the ASME

Author: American Society of Mechanical Engineers

Publisher: N.A

ISBN: N.A

Category: Mechanical engineering

Page: N.A

View: 2036