Shakedown analysis of unidirectional fiber reinforced metal matrix composites

In this paper the determination of the shakedown domain in the space of macroscopic stresses of ductile unidirectional composite materials is obtained solving a shakedown analysis problems defined over a Representative Volume. The analyses are based on the kinematic shakedown theorem and the assumption of plane strain condition. The mathematical programming problem generated is solved by an iterative procedure. Numerical tests are performed on Al/Al2O3 metal matrix composite and compared to the relevant macroscopic plastic collapse domains.