Finite Element Theory and Simulation
Concepts, Case Studies and Applications in Static, Dynamic and Fluid Analysis With ANSYS WorkbenchBy Wei-Lin Chao
Length13h 38m
About this audiobook
A comprehensive guide to finite element theory and simulation with ANSYS Workbench, covering static, dynamic, and fluid analysis with practical case studies.
Audiobook details
GenreTechnology, Science and Nature
Length13 hrs 38 mins
Narrated byListen with 1,000+ voices
FormateBook with Audio
Publish dateSep 27, 2026
LanguageEnglish
Table of contents
1Finite Element Theory and Simulation
2Foreword
3Preface
4About This Book
5Important Safety Notice
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6Chapter 1: From Governing Equation to Discrete System
71.1 The Physical Problem and Its Governing Equation
81.2 Strong Form, Weak Form and the Residual
91.3 The Variational Basis and Minimum Potential Energy
101.4 Galerkin Approximation and the Discrete System
111.5 Sources of Error and the Three-Way Check
12Chapter 2: Direct Stiffness and Bar Elements
132.1 The Bar Element and Its Stiffness Matrix
142.2 Assembly, Connectivity and Boundary Conditions
152.3 Solving a Complete Truss by Hand
162.4 The Same Truss in the Simulation Environment
17Chapter 3: Beam and Frame Elements
183.1 Euler-Bernoulli Beam Theory and Its Assumptions
193.2 Hermite Shape Functions and the Beam Stiffness Matrix
203.3 Equivalent Nodal Loads and Distributed Loads
213.4 Frame Elements, Releases and the Bracket Case
22Chapter 4: Two-Dimensional Elements
234.1 Plane Stress, Plane Strain and Axisymmetry
244.2 Constant Strain Triangles and Linear Quadrilaterals
254.3 Isoparametric Mapping and Higher-Order Elements
264.4 Modeling the Perforated Plate
27Chapter 5: Numerical Integration and Element Quality
285.1 Gauss Quadrature and Integration Order
295.2 The Jacobian, Distortion and Aspect Ratio
305.3 Shear Locking, Volumetric Locking and Hourglassing
315.4 Choosing an Element: A Decision Procedure
32Chapter 6: Solids and Shells
336.1 Three-Dimensional Solid Elements
346.2 Shell Theory and Mid-Surface Extraction
356.3 Connecting Dissimilar Elements and Mesh Transitions
36Chapter 7: Convergence, Verification and Error Estimation
377.1 Mesh Refinement and Convergence Studies
387.2 Stress Singularities and What to Do About Them
397.3 Benchmark Problems and Verification Against Closed Forms
40Chapter 8: Working in the Simulation Environment
418.1 Geometry Preparation and Cleanup
428.2 Named Selections, Contact and Joints
438.3 Mesh Controls and Local Refinement
448.4 Loads, Supports, Solution and Result Extraction
45Chapter 9: Static Structural Case Studies
469.1 Bracket Analysis: Load Path and Stress
479.2 Bolt Preload and Bolted Joints
489.3 Pressure Vessel Analysis and Stress Linearization
49Chapter 10: Material Nonlinearity
5010.1 Elastic-Plastic Material Models and Hardening
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