Consider a uniform bar with a cross-sectional area, A = 2 10-4 m2, and a unit length, L = 1 m. The bar shows elastoplastic material behavior, as depicted in the figure. The plastic deformation starts at yield stress σY = 400 MPa. In the elastic region, the Young's modulus is E = 200 GPa while in the plastic region, the tangent stiffness is ET = 20 GPa.
When a force, F = 50 kN, is applied at the end, calculate the tip displacement and stress of the element using one bar element. Use 10 equal-interval force increments. Plot the force-displacement curve. Assume the displacement- strain relation is linear.
