A global model reduction approach for 3D fatigue crack growth with confined plasticity

It has been known for decades that fatigue crack propagation in elastic–plastic media is very sensitive to load history since the nonlinear behavior of the material can have a great influence on propagation rates. However, raw computations of millions of nonlinear fatigue cycles on tridimensional structures would lead to prohibitive calculation times. In this respect, we propose a global model reduction strategy, mixing both the a posteriori and a priori approaches in order to drastically decrease the computational cost of these types of problems.