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Über dieses Buch

This textbook offers theoretical and practical knowledge of the finite element method. The book equips readers with the skills required to analyze engineering problems using ANSYS®, a commercially available FEA program. Revised and updated, this new edition presents the most current ANSYS® commands and ANSYS® screen shots, as well as modeling steps for each example problem. This self-contained, introductory text minimizes the need for additional reference material by covering both the fundamental topics in finite element methods and advanced topics concerning modeling and analysis. It focuses on the use of ANSYS® through both the Graphics User Interface (GUI) and the ANSYS® Parametric Design Language (APDL). Extensive examples from a range of engineering disciplines are presented in a straightforward, step-by-step fashion. Key topics include: • An introduction to FEM • Fundamentals and analysis capabilities of ANSYS® • Fundamentals of discretization and approximation functions • Modeling techniques and mesh generation in ANSYS® • Weighted residuals and minimum potential energy • Development of macro files • Linear structural analysis • Heat transfer and moisture diffusion • Nonlinear structural problems • Advanced subjects such as submodeling, substructuring, interaction with external files, and modification of ANSYS®-GUI Supplementary materials for this book may be downloaded from http://extras.springer.com. This convenient online feature, which includes color figures, screen shots and input files for sample problems, allows for regeneration on the reader’s own computer. Students, researchers, and practitioners alike will find this an essential guide to predicting and simulating the physical behavior of complex engineering systems.

Inhaltsverzeichnis

Frontmatter

1. Introduction

Abstract
The Finite Element Analysis (FEA) method, originally introduced by Turner et al. is a powerful computational technique for approximate solutions to a variety of “real-world” engineering problems having complex domains subjected to general boundary conditions. FEA has become an essential step in the design or modeling of a physical phenomenon in various engineering disciplines. A physical phenomenon usually occurs in a continuum of matter (solid, liquid, or gas) involving several field variables. The field variables vary from point to point, thus possessing an infinite number of solutions in the domain. Within the scope of this book, a continuum with a known boundary is called a domain.
Erdogan Madenci, Ibrahim Guven

2. Fundamentals of ANSYS

Abstract
The construction of solutions to engineering problems using FEA requires either the development of a computer program based on the FEA formulation or the use of a commercially available general-purpose FEA program such as ANSYS. The ANSYS program is a powerful, multi-purpose analysis tool that can be used in a wide variety of engineering disciplines.
Erdogan Madenci, Ibrahim Guven

3. Fundamentals of Discretization

Abstract
In solving an engineering problem with the finite element method (FEM), the domain is discretized by employing elements. The characteristics of the problem dictate the dimensionality of the problem, i.e., one, two, or three dimensional.
Erdogan Madenci, Ibrahim Guven

4. ANSYS Preprocessor

Abstract
The fundamental concepts and the Begin and Processor Levels of the ANSYS finite element program are described in Chap. 2.Specifications of all the geometric and material properties, as well as the generation of solid and finite element models, are conducted at the preprocessor level. There are two approaches for creating a finite element model: solid modeling and direct generation.The solid modeling approach utilizes Primitives (pre-defined geometric shapes) and operations similar to those of computer-aided design (CAD) tools, and internally generates the nodes and the elements based on user specifications.Solid modeling is the most commonly used approach because it is much more versatile and powerful. However, the user must have a strong understanding of the concept of meshing in order to utilize the solid modeling approach successfully and efficiently.
Erdogan Madenci, Ibrahim Guven

5. ANSYS Solution and Postprocessing

Abstract
The first step involves operations concerning the ANSYS Preprocessor and was covered in detail in Chap. 4. The operations pertaining to the solution and postprocessing of the results are discussed in detail in this chapter. At the end, specific steps are demonstrated by considering a one-dimensional transient heat transfer problem.
Erdogan Madenci, Ibrahim Guven

6. Finite Element Equations

Abstract
Finite element equations capture the characteristics of the field equations. Their derivation is based on either the governing differential equation or the global energy balance of the physical problem. The approach involving the governing differential equation is referred to as the method of weighted residuals or Galerkin’s method. The approach utilizing the global energy balance is referred to as the variational method or Rayleigh-Ritz method.
Erdogan Madenci, Ibrahim Guven

7. Use of Commands in ANSYS

Abstract
The distinct differences between the two modes of ANSYS usage, i.e., the Graphical User Interface (GUI) and Batch Mode, are covered briefly in Chap. 2, and the most common operations within the Preprocessor, Solution, and Postprocessors, mainly using the GUI, are covered in Chap. 4 and 5. This chapter is devoted to using the Batch Mode of ANSYS, which is the method preferred by advanced ANSYS users.
Erdogan Madenci, Ibrahim Guven

8. Linear Structural Analysis

Abstract
A linear analysis is conducted if a structure is expected to exhibit linear behavior. The deformation and load-carrying capability can be determined by employing one of the analysis types available in ANSYS, static or dynamic, depending on the nature of the applied loading. If the applied loading is determined as part of the solution for structural stability, a buckling analysis is conducted. If the structure is subjected to thermal loading, the analysis is referred to as thermomechanical.
Erdogan Madenci, Ibrahim Guven

9. Linear Analysis of Field Problems

Abstract
In certain cases, a thermal analysis is followed by a stress analysis in order to evaluate the structural integrity of the component under the given thermal conditions. In a typical heat transfer problem, the goal is to obtain certain thermal quantities within a body under a specific set of boundary conditions. These quantities include: temperatures, thermal fluxes and gradients, and the amount of heat dissipated. There are two main types of thermal analyses:
Erdogan Madenci, Ibrahim Guven

10. Nonlinear Structural Analysis

Abstract
The nonlinear load-displacement relationship—the stress-strain relationship with a nonlinear function of stress, strain, and/or time; changes in geometry due to large displacements; irreversible structural behavior upon removal of the external loads; change in boundary conditions such as a change in the contact area and the influence of loading sequence on the behavior of the structure—requires a nonlinear structural analysis. The structural nonlinearities can be classified as geometric nonlinearity, material nonlinearity, and contact or boundary nonlinearity.
Erdogan Madenci, Ibrahim Guven

11. Advanced Topics in ANSYS

Abstract
Selected advanced topics are discussed in this chapter. First, coupled degrees of freedom and constraint equations are explained. Discussions on submodeling and superelements are included next, with one example problem for each. Finally, a brief section on how to interact with external files from within the ANSYS environment is followed by a section on modification of the ANSYS GUI.
Erdogan Madenci, Ibrahim Guven

Erratum to: The Finite Element Method and Applications in Engineering Using ANSYS®

Without Abstract
Erdogan Madenci, Ibrahim Guven

Backmatter

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