Linear Elasticity of Elastic Circular Inclusions Part 2/Lineare Elastizitätstheorie bei kreisrunden elastischen Einschlüssen Teil 2 (Springerbriefs in Applied Sciences and Technology)

Ranz, Thomas

Springer Nature Switzerland AG（2020/12発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 110 p.
• 言語 ENG
• 商品コード 9783030628512

Full Description

In this book the real analytic solutions for the "Disc with Circular Inclusion" under normal- and shear force at plane-strain state (EVZ) are presented. 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.

Contents

Introduction.- Initial position — Solutionprocess.- Disc with circular inclusion — Plane strain condition.- Validation of the analytical solution.- Summary and outlook.