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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مقدمه ای بر تحلیل اجزاء محدود با استفاده از نرم افزارهای MATLAB & ABAQUS