國立清華大學 數學系

Abstract: Mathematical models for impact, fracture and damage are based on viscoplasticity. They contain a large system of dynamic PDEs and often involve complex geometry. Such is the case for the crash of the Germanwings Flight 9525, which is the most high-profile airlines accident in the year 2015. The airplane “pulverized”, i.e., broke up into pieces, in the mountains of the French Alps after the suicidal control by co-pilot Andreas Lubitz. In this talk, we use computational impact mechanics and engineering to model and simulate this air crash. The rate-dependent model we choose is the Johnson-Cook model. Numerical computations are based on the finite element methods and the use of LS-DYNA software. One can see how and under what conditions an airplane could pulverize through video animations obtained from supercomputer results. The work is a collaboration with Yi-Ching Wang, Cong Gu, Alain Perronnet, Bandar Bin-Mohsen and Hichem Hajaiej. Tea Time: 3:00PM, R707