advanced applied finite element methods

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Advanced Applied Finite Element Methods

Author : Carl T. F. Ross
ISBN : 9780857099754
Genre : Technology & Engineering
File Size : 60. 66 MB
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This book is aimed at senior undergraduates, graduates and engineers. It fills the gap between the numerous textbooks on traditional Applied Mechanics and postgraduate books on Finite Element Methods. Fills the gap between the applied mechanics and finite element methods Discusses basic structural concepts and energy theorems, the discrete system, in-plane quadrilateral elements, field problems and mathematical modelling, among other topics Aimed at senior undergraduates, graduates and engineers

Advanced Finite Element Methods And Applications

Author : Thomas Apel
ISBN : 9783642303166
Genre : Technology & Engineering
File Size : 32. 99 MB
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This volume on some recent aspects of finite element methods and their applications is dedicated to Ulrich Langer and Arnd Meyer on the occasion of their 60th birthdays in 2012. Their work combines the numerical analysis of finite element algorithms, their efficient implementation on state of the art hardware architectures, and the collaboration with engineers and practitioners. In this spirit, this volume contains contributions of former students and collaborators indicating the broad range of their interests in the theory and application of finite element methods. Topics cover the analysis of domain decomposition and multilevel methods, including hp finite elements, hybrid discontinuous Galerkin methods, and the coupling of finite and boundary element methods; the efficient solution of eigenvalue problems related to partial differential equations with applications in electrical engineering and optics; and the solution of direct and inverse field problems in solid mechanics.

Applied Finite Element Analysis

Author : G. Ramamurty
ISBN : 9789380578453
Genre : Engineering mathematics
File Size : 23. 90 MB
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This book is intended for presenting the basic concepts of Finite Element Analysis applied to several engineering applications. Salient Features: 1. Covers several modules of elasticity, heat conduction, eigenvalue and fluid flow analysis which are necessary for a student of Mechanical Engineering. 2. Finite Element formulations have been presented using both global and natural coordinates. It is important for providing smooth transition form formulation in global coordinates to natural coordinates. 3. Special focus has been given to heat conduction problems and fluid flows which are not sufficiently discussed in other textbooks. 4. Important factors affecting the formulation have been included as Miscellaneous Topics. 5. Several examples have been worked out in order to highlight the applications of Finite Element Analysis. New to this Edition Apart from moderately revising the whole text three new chapters "Dynamic Analysis", "Non-linear Analysis", "Bending of Thin Plates", three appendices and short questions and answers have been added in the present edition to make it more useful.

Higher Order Finite Element Methods

Author : Pavel Solin
ISBN : 9780203488041
Genre : Mathematics
File Size : 84. 79 MB
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The finite element method has always been a mainstay for solving engineering problems numerically. The most recent developments in the field clearly indicate that its future lies in higher-order methods, particularly in higher-order hp-adaptive schemes. These techniques respond well to the increasing complexity of engineering simulations and satisfy the overall trend of simultaneous resolution of phenomena with multiple scales. Higher-Order Finite Element Methods provides an thorough survey of intrinsic techniques and the practical know-how needed to implement higher-order finite element schemes. It presents the basic priniciples of higher-order finite element methods and the technology of conforming discretizations based on hierarchic elements in spaces H^1, H(curl) and H(div). The final chapter provides an example of an efficient and robust strategy for automatic goal-oriented hp-adaptivity. Although it will still take some time for fully automatic hp-adaptive finite element methods to become standard engineering tools, their advantages are clear. In straightforward prose that avoids mathematical jargon whenever possible, this book paves the way for fully realizing the potential of these techniques and putting them at the disposal of practicing engineers.

Applied Finite Element Analysis

Author : Larry J. Segerlind
ISBN : UOM:39015007650297
Genre : Technology & Engineering
File Size : 76. 56 MB
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An introductory textbook for senior/graduate couses in finite element analysis taught in all engineering departments. Covers the basic concepts of the finite element method and their application to the analysis of plane structures and two-dimensional continuum problems in heat transfer, irrotational fluid flow, and elasticity. This revised edition includes a reorganization of topics and an increase in the number of homework problems. The emphasis on numerical illustrations make topis clear without heavy use of sophisticated mathematics.

Fundamentals Of Finite Element Analysis

Author : Ioannis Koutromanos
ISBN : 9781119260080
Genre : Technology & Engineering
File Size : 76. 25 MB
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An introductory textbook covering the fundamentals of linear finite element analysis (FEA) This book constitutes the first volume in a two-volume set that introduces readers to the theoretical foundations and the implementation of the finite element method (FEM). The first volume focuses on the use of the method for linear problems. A general procedure is presented for the finite element analysis (FEA) of a physical problem, where the goal is to specify the values of a field function. First, the strong form of the problem (governing differential equations and boundary conditions) is formulated. Subsequently, a weak form of the governing equations is established. Finally, a finite element approximation is introduced, transforming the weak form into a system of equations where the only unknowns are nodal values of the field function. The procedure is applied to one-dimensional elasticity and heat conduction, multi-dimensional steady-state scalar field problems (heat conduction, chemical diffusion, flow in porous media), multi-dimensional elasticity and structural mechanics (beams/shells), as well as time-dependent (dynamic) scalar field problems, elastodynamics and structural dynamics. Important concepts for finite element computations, such as isoparametric elements for multi-dimensional analysis and Gaussian quadrature for numerical evaluation of integrals, are presented and explained. Practical aspects of FEA and advanced topics, such as reduced integration procedures, mixed finite elements and verification and validation of the FEM are also discussed. Provides detailed derivations of finite element equations for a variety of problems. Incorporates quantitative examples on one-dimensional and multi-dimensional FEA. Provides an overview of multi-dimensional linear elasticity (definition of stress and strain tensors, coordinate transformation rules, stress-strain relation and material symmetry) before presenting the pertinent FEA procedures. Discusses practical and advanced aspects of FEA, such as treatment of constraints, locking, reduced integration, hourglass control, and multi-field (mixed) formulations. Includes chapters on transient (step-by-step) solution schemes for time-dependent scalar field problems and elastodynamics/structural dynamics. Contains a chapter dedicated to verification and validation for the FEM and another chapter dedicated to solution of linear systems of equations and to introductory notions of parallel computing. Includes appendices with a review of matrix algebra and overview of matrix analysis of discrete systems. Accompanied by a website hosting an open-source finite element program for linear elasticity and heat conduction, together with a user tutorial. Fundamentals of Finite Element Analysis: Linear Finite Element Analysis is an ideal text for undergraduate and graduate students in civil, aerospace and mechanical engineering, finite element software vendors, as well as practicing engineers and anybody with an interest in linear finite element analysis.

Applied Finite Element Analysis For Engineers

Author : Frank L. Stasa
ISBN : MINN:31951D00839155F
Genre : Science
File Size : 54. 3 MB
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Emphasizing how one applies FEM to practical engineering problems, this text provides a thorough introduction to the methods of finite analysis and applies these methods to problems of stress analysis, thermal analysis, fluid flow analysis, and lubrication.

Basic Finite Element Method As Applied To Injury Biomechanics

Author : King-Hay Yang
ISBN : 9780128098325
Genre : Technology & Engineering
File Size : 85. 57 MB
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Basic Finite Element Method as Applied to Injury Biomechanics provides a unique introduction to finite element methods. Unlike other books on the topic, this comprehensive reference teaches readers to develop a finite element model from the beginning, including all the appropriate theories that are needed throughout the model development process. In addition, the book focuses on how to apply material properties and loading conditions to the model, how to arrange the information in the order of head, neck, upper torso and upper extremity, lower torso and pelvis and lower extremity. The book covers scaling from one body size to the other, parametric modeling and joint positioning, and is an ideal text for teaching, further reading and for its unique application to injury biomechanics. With over 25 years of experience of developing finite element models, the author's experience with tissue level injury threshold instead of external loading conditions provides a guide to the "do’s and dont's" of using finite element method to study injury biomechanics. Covers the fundamentals and applications of the finite element method in injury biomechanics Teaches readers model development through a hands-on approach that is ideal for students and researchers Includes different modeling schemes used to model different parts of the body, including related constitutive laws and associated material properties

The Finite Element Method Its Basis And Fundamentals

Author : Olek C Zienkiewicz
ISBN : 9780080951355
Genre : Technology & Engineering
File Size : 35. 26 MB
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The Finite Element Method: Its Basis and Fundamentals offers a complete introduction to the basis of the finite element method, covering fundamental theory and worked examples in the detail required for readers to apply the knowledge to their own engineering problems and understand more advanced applications. This edition sees a significant rearrangement of the book’s content to enable clearer development of the finite element method, with major new chapters and sections added to cover: Weak forms Variational forms Multi-dimensional field problems Automatic mesh generation Plate bending and shells Developments in meshless techniques Focusing on the core knowledge, mathematical and analytical tools needed for successful application, The Finite Element Method: Its Basis and Fundamentals is the authoritative resource of choice for graduate level students, researchers and professional engineers involved in finite element-based engineering analysis. A proven keystone reference in the library of any engineer needing to understand and apply the finite element method in design and development. Founded by an influential pioneer in the field and updated in this seventh edition by an author team incorporating academic authority and industrial simulation experience. Features reworked and reordered contents for clearer development of the theory, plus new chapters and sections on mesh generation, plate bending, shells, weak forms and variational forms.

Concepts And Applications Of Finite Element Analysis

Author : Robert Davis Cook
ISBN : 0471356050
Genre : Mathematics
File Size : 56. 99 MB
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This book has been thoroughly revised and updated to reflect developments since the third edition, with an emphasis on structural mechanics. Coverage is up-to-date without making the treatment highly specialized and mathematically difficult. Basic theory is clearly explained to the reader, while advanced techniques are left to thousands of references available, which are cited in the text.

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