Consider a plane-strain square element with unit depth as shown in the figure. Use the St. Venant-Kirchhoff isotropic material model with two Lame's constants λ and μ. A uniformly distributed force Tx (force per area) is horizontally applied at the top surface. Assuming it is a simple shear problem, the deformation of the element can be written as
![2326_Equation 3.jpg](https://secure.tutorsglobe.com/CMSImages/2326_Equation%203.jpg)
(a) Find the relation between k and Tx,
(b) find the reaction force in the X2 direction at the top surface, and
(c) compare the results with that of the linear elastic model.
![2340_Figure 5.jpg](https://secure.tutorsglobe.com/CMSImages/2340_Figure 5.jpg)