Kirsch equations
Encyclopedia
The Kirsch equations describe the elastic
stresses
around the hole in an infinite plate in one directional tension. They are named after Ernst Gustav Kirsch
.
Elasticity (physics)
In physics, elasticity is the physical property of a material that returns to its original shape after the stress that made it deform or distort is removed. The relative amount of deformation is called the strain....
stresses
Stress (physics)
In continuum mechanics, stress is a measure of the internal forces acting within a deformable body. Quantitatively, it is a measure of the average force per unit area of a surface within the body on which internal forces act. These internal forces are a reaction to external forces applied on the body...
around the hole in an infinite plate in one directional tension. They are named after Ernst Gustav Kirsch
Ernst Gustav Kirsch
Ernst Gustav Kirsch was a German engineer. He was educated at Sorbonne, in Zürich and in Berlin. He was a professor from 1874 at the Chemnitz University of Technology in Chemnitz, Germany. Kirsch is primarily known for the Kirsch equations describing the elastic stress state around a...
.
Result
Loading an infinite plate with circular hole of radius a with stress σ, the resulting stress field is: