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A Mode III Crack Problem in Functionally Graded Materials (FGMs)

Student-Run Research Seminar

Speaker: Youn-Sha Chan, Mathematics, UC Davis
Location: 693 Kerr
Start time: Thu, May 13 1999, 1:10PM

A mode III crack problem in linear elastic fracture mechanics is a relatively easier problem compared with other type of modes, for it leads to a very familiar PDE--Laplace's equation, with a mixed value boundary conditions. In this talk, fracture mechanics in functionally graded materials (FGMs) will be introduced. Two elastic models, classical and gradient elasticity will be briefly addressed and compared. Mathematical methods will be laid out, with focus of the method of integral equations. Numerical solution including the crack profile and stress intensity factors (SIFs) will be presented. Further application and research work will be discussed.