Theory of Stress Concentration for Shear-Strained Prismatical Bodies With Arbitrary Nonlinear Stress-Strain Law

Knowledge of stress concentration is very important for engineers in many practical cases. But the stress-concentration factors for Hooke’s law often cannot be used because most technical materials have stress-strain laws deviating from Hooke’s law. In the second edition of his book “Kerbspannungslehre” the author gave a calculation method for a special nonlinear deformation law. In the present paper a general theory for arbitrary stress-strain laws is established which leads to a calculation method for the real values of the concentrated stresses in the material.