Finite element structural analysis : new concepts

Finite Element Structural Analysis: New Concepts introduces a novel concept for accurately assessing the solution accuracy of the powerful and versatile finite element structural simulation technology. This has the potential of significantly improving the process of developing related new analysis codes and modification of existing ones, so as to generate reliable solution bounds. This text covers finite element developments pertaining to assumed displacements distribution, corrective distribution superimposed on assumed displacement distribution, and assumed stress distribution within an element. It addresses a wide array of elements including plane plate (triangular and quadrilateral), as well as solid elements (tetrahedron, prismatic pentahedron, and rectangular hexahedron). Each element's stiffness and its thermal and mass matrices are derived in careful detail. Highly recommended for graduate and senior level undergraduate courses in engineering mechanics (particularly those related to aeronautics and associated disciplines), the text will also provide invaluable guidance for practicing engineers in accurate modeling and simulation of problems encountered in industry. Cover 1 Title 4 Copyright 5 Foreword 10 Table of Contents 12 Preface 16 Part 1: Introduction 18 Finite Element Analysis: An Overview 20 Static and Dynamic Properties of Finite Elements 44 Part 2: Flat Plates 50 Triangular Plate T1: Assumed Displacement Distribution 52 Triangular Plate T2: Assumed Basic Displacement Distribution Plus Corrective Distribution Inside the Element Boundaries 60 Rectangular Plate T3: Assumed Displacement Distribution 68 Rectangular Plate T4: Assumed Stress Distribution 76 Quadrilateral Plate T5: Assumed Displacement Distribution 82 Quadrilateral Plate T6: Assumed Stress Distribution 88 Part 3: Solid and Basic Elements 96 Tetrahedron T7: Assumed Displacement Distribution 98 Tetrahedron T8: Assumed Displacement Distribution plus Corrective Distribution Inside the Element Boundaries 104 Prismatic Pentahedron T9: Assumed Displacement Distribution 116 Prismatic Pentahedron T10: Assumed Displacement Distribution plus Corrective Distribution Inside the Element Boundaries 124 Rectangular Hexahedron (Brick) T11: Assumed Displacement Distribution 136 Rectangular Hexahedron (Brick) T12: Composite Element with Two Pentahedrons T9 144 Pin-Jointed Bar and Beam Elements 146 Bibliography 148 Index 150 Supporting Materials 154

about The Book Finite Element Structural Analysis: New Concepts Introduces A Novel Concept For Accurately Assessing The Solution Accuracy Of The Powerful And Versatile Finite Element Structural Simulation Technology. This Has The Potential Of Significantly Improving The Process Of Developing Related New Analysis Codes And Modifying Existing Ones, So As To Generate Reliable Solution Bounds.

this Text Covers Finite Element Developments Pertaining To Assumed Displacement Distribution, Corrective Distribution Superimposed On Assumed Displacement Distribution, And Assumed Stress Distribution Within An Element. It Addresses A Wide Array Of Elements Including Plane Plate (triangular And Quadrilateral), As Well As Solid Elements (tetrahedron, Prismatic Pentahedron, And Rectangular Hexahedron). Each Element's Stiffness And Its Thermal And Mass Matrices Are Derived In Careful Detail.

highly Recommended For Graduate And Senior Level Undergraduate Courses In Engineering Mechanics (particularly Those Related To Aeronautics And Associated Disciplines), The Text Will Also Provide Invaluable Guidance For Practicing Engineers In Accurately Modeling And Simulating Problems Encountered In Industry.