کتاب مقدمه ای بر تحلیل اجزاء محدود با استفاده از نرم افزارهای MATLAB & ABAQUS، یکی از کتاب های مفید و کاربردی در زمینه تحلیل اجزاء محدود با استفاده از دو نرم افزار معروف متلب و آبا می باشد. این کتاب مشتمل بر 11 فصل، 487 صفحه، به زبان انگلیسی روان، تایپ شده، به همراه تصاویر، روابط مهم ریاضی و فرمول های مهم اجزاء محدود، با فرمت PDF، به ترتیب زیر گردآوری شده است:
Chapter 1: Introduction
- Prologue
- Finite Element Analysis and the User
- Aim of the Book
- Book Organization
Chapter 2: Bar Element
- Introduction
- One-Dimensional Truss Element
- Global Stiffness Matrix Assembly
- Boundary Conditions
- Solution of the System of Equations
- Support Reactions
- Members’ Forces
- Computer Code: truss.m
- Problems
- Analysis of a Simple Truss with Abaqus
Chapter 3:Beam Element
- Introduction
- Stiffness Matrix
- Uniformly Distributed Loading
- Internal Hinge
- Computer Code: beam.m
- Problems
- Analysis of a Simple Beam with Abaqus
Chapter 4: Rigid Jointed Frames
- Introduction
- Stiffness Matrix of a Beam–Column Element
- Stiffness Matrix of a Beam–Column Element in the Presence of Hinged End
- Global and Local Coordinate Systems
- Global Stiffness Matrix Assembly and Solution for Unknown Displacements
- Computer Code: frame.m
- Analysis of a Simple Frame with Abaqus
Chapter 5: Stress and Strain Analysis
- Introduction
- Stress Tensor
- Deformation and Strain
- Stress–Strain Constitutive Relations
- Solved Problems
Chapter 6: Weighted Residual Methods
- Introduction
- General Formulation
- Galerkin Method
- Weak Form
- Integrating by Part over Two and Three Dimensions (Green Theorem)
- Rayleigh Ritz Method
Chapter 7: Finite Element Approximation
- Introduction
- General and Nodal Approximations
- Finite Element Approximation
- Basic Principles for the Construction of Trial Functions
- Two-Dimensional Finite Element Approximation
- Shape Functions of Some Classical Elements for C0 Problems
Chapter 8: Numerical Integration
- Introduction
- Gauss Quadrature
- Integration over a Reference Element
- Integration over a Triangular Element
- Solved Problems
Chapter 9: Plane Problems
- Introduction
- Finite Element Formulation for Plane Problems
- Spatial Discretization
- Constant Strain Triangle
- Linear Strain Triangle
- The Bilinear Quadrilateral
- The 8-Node Quadrilateral
- Solved Problem with MATLAB
Chapter 10: Axisymmetric Problems
- Definition
- Strain–Displacement Relationship
- Stress–Strain Relations
- Finite Element Formulation
- Programming
- Analysis with Abaqus Using the 8-Node Quadrilateral
Chapter 11: Thin and Thick Plates
- Introduction
- Thin Plates
- Thick Plate Theory or Mindlin Plate Theory
- Linear Elastic Finite Element Analysis of Plates
- Boundary Conditions
- Computer Program for Thick Plates Using the 8-Node Quadrilateral
- Analysis with Abaqus
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