Linear Elasticity of Elastic Circular Inclusions Part 2/Lineare Elastizitätstheorie bei kreisrunden elastischen Einschlüssen Teil 2

1. Front Matter

   Pages I-XVII

   PDF

2. Introduction

   • Thomas Ranz

   Pages 1-7

3. Initial Position—Solution Process

   • Thomas Ranz

   Pages 9-10

4. Disc with Circular Inclusion—Plane Strain Condition

   • Thomas Ranz

   Pages 11-82

5. Validation of the Analytical Solution

   • Thomas Ranz

   Pages 83-89

6. Summery and Outlook

   • Thomas Ranz

   Pages 91-94

7. Bibliography

   • Thomas Ranz

   Pages 95-100

This revised, new edition presents the real analytic solutions for the “Disc with Circular Inclusion” under normal- and shear force at plane-strain state. The associated solution process, which was developed according to the principle of statically indeterminate systems, is documented extensively. The solutions are given in terms of mechanical quantities (deformations, strains and stresses). Due to the superposition of the solutions for normal force in x- and y-direction and shear force the plane strain-stress relation can be formulated. The validation of the real analytic solutions is carried out by numeric FEM solution results. Comparing the results of the finite and infinite disc there is, however, a very high correspondence of all mechanical quantities. Therefore it can be assumed the real analytical solutions are the exact solutions.

• Elastic Inclusion
• Material Inclusion
• Airy Stress Function
• Fibrous Composite
• Notch Stress

• Graz, Austria

  Thomas Ranz

Thomas Ranz works as an expert for the simulation of static tests and fatigue tests in the railway industry. He completed his academic training at TU Graz (civil engineering) and at the University of the German Federal Armed Forces Munich, Institute for Mechanics (doctorate). He gained professional experience in industry (MAN-Technology, Andritz AG and Siemens). He carried out research and teaching at the University of the German Federal Armed Forces Munich and the FH Joanneum Graz.

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