The Finite Element Method A Practical Course

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The Finite Element MethodA Practical Course
CHAPTER 7

• FEM FOR PLATES SHELLS

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CONTENTS

• INTRODUCTION
• PLATE ELEMENTS
• Shape functions
• Element matrices
• SHELL ELEMENTS
• Elements in local coordinate system
• Elements in global coordinate system
• Remarks
• CASE STUDY

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INTRODUCTION

• FE equations based on Reissner-Mindlin plate
  theory will be developed.
• FE equations of shells will be formulated by
  superimposing matrices of plates and that of 2D
  solids.
• Computationally tedious due to more DOFs.

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PLATE ELEMENTS

• Geometrically similar to 2D plane stress solids
  except that it carries only transverse loads.
  Leads to bending.
• 2D equivalent of the beam element.
• Rectangular plate elements based on
  Reissner-Mindlin plate theory will be developed