Finite Rotation Shells

Basic Equations and Finite Elements for Reissner Kinematics

Editors:

ISBN: 978-90-481-8760-7 (Print) 978-90-481-8761-4 (Online)

Table of contents (15 chapters)

  1. Front Matter

    Pages i-xiii

  2. Preliminaries

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 2-5

      Introduction

    3. No Access

      Book Chapter

      Pages 6-20

      Operations on tensors and their representations

  3. Shell Equations

    1. Front Matter

      Pages 21-21

    2. No Access

      Book Chapter

      Pages 22-29

      Rotations for 3D Cauchy continuum

    3. No Access

      Book Chapter

      Pages 30-48

      3D formulations with rotations

    4. No Access

      Book Chapter

      Pages 49-59

      Basic geometric definitions for shells

    5. No Access

      Book Chapter

      Pages 60-96

      Shells with Reissner kinematics and drilling rotation

    6. No Access

      Book Chapter

      Pages 97-124

      Shell-type constitutive equations

  4. Finite Rotations for Shells

    1. Front Matter

      Pages 125-125

    2. No Access

      Book Chapter

      Pages 126-177

      Parametrization of finite rotations

    3. No Access

      Book Chapter

      Pages 178-227

      Algorithmic schemes for finite rotations

  5. Four-Node Shell Elements

    1. Front Matter

      Pages 229-229

    2. No Access

      Book Chapter

      Pages 230-267

      Basic relations for four-node shell elements

    3. No Access

      Book Chapter

      Pages 268-311

      Plane four-node elements (without drilling rotation)

    4. No Access

      Book Chapter

      Pages 312-364

      Plane four-node elements with drilling rotation

    5. No Access

      Book Chapter

      Pages 365-395

      Modification of transverse shear stiffness of shell element

    6. No Access

      Book Chapter

      Pages 396-417

      Warped four-node shell element

  6. Numerical Examples

    1. Front Matter

      Pages 419-419

    2. No Access

      Book Chapter

      Pages 420-456

      Numerical tests

  7. Back Matter

    Pages 457-483