An Elastic–Plastic and Residual Stress Analysis of Symmetric Laminated Cantilever Beam Under a Bending Moment

Abstract

An elastic–plastic stress analysis in symmetric woven steel fiber reinforced polyethylene thermoplastic matrix laminated cantilever beam under a bending moment is studied by using analytical method and the Bernoulli–Euler theory for small plastic deformations. The orientation of the plies is chosen as (0°)4, (15° / -15°)2, (30° / -30°)2 and (45° / -45°)2. The Tsai–Hill theory is used as a yield criterion. Elastic and plastic stresses are the highest at the upper and lower surfaces. The residual stress component of x is maximized at the upper and lower surfaces. However, when the plastic region is further expanded, it is the highest at the boundary of the elastic and plastic regions. The magnitude of the residual stress component of x is found to be the highest for (0°)4 orientations. The plastic flow is maximized at the upper and lower surfaces for (0°)4 orientations.