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.

Autorentext

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.

Klappentext

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.

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