Consider the antiplane strain problem of a distributed loading F (per unit length) along the entire z-axis of an infinite medium. This will produce an axisymmetric deformation field.

Using cylindrical coordinates, show that in the absence of body forces, governing equation (7.4.5) will reduce to:

Equation 7.4 .5

Solve this equation to determine the form of the displacement and then show that the stresses are given by τ _rz = –F/2πr, τ _θz = 0.

Transcribed Image Text:

Vw+F=0