Hertzian Contact Stress

geometry

R

1

(mm)

1.8

R

2

(mm)

2.4

P

2

(mm)

5

plane

material

E

1

(GPa)

207

1/

m

1

0.3

E

2

(GPa)

207

1/

m

2

0.3

mechanics

Q(N)

100

contact zone

colors

a =	0.213	(mm)
b =	0.070	(mm)
A =	0.047	( 2 mm )
r =	3.050
P max =	3200.	(MPa)
P =	2130.	(MPa)
δ =	0.006	(mm)

Over a century ago Hertz established a theory of contact mechanics that is still used today by engineers working in tribology. To make his theory accessible for engineering applications, the program calculates a fast and accurate solution.

This Demonstration presents the Hertzian contact stress distribution and elastic deformations. It uses a color function to visualize the contact zone between a statically loaded pair of contact models, a sphere and a torus. In bearing engineering, the equalized terms are between balls and an inner or outer ring.