Dipartimento di Matematica ''F. Casorati''

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Energy release rate and stress intensity factors in planar elasticity in presence of smooth cracks

Dr. Stefano Almi, TUM Monaco

Sala conferenze IMATI-CNR Pavia - Tuesday, June 5, 2018 h.16:00

Abstract. In this talk we present some results regarding the singular behavior of the displacement u of a linearly elastic body in dimension 2 close to the tip of a smooth crack. In particular, we will show that u is the sum of an H2-function and of a linear combination of two singular functions whose profile is similar to the square root of the distance from the tip. The coefficients of the linear combination are the so called stress intensity factors. We will then apply the above splitting to explicitly compute the derivative of the elastic energy of the system with respect to an infinitesimal fracture elongation, enlightening its dependence on the stress intensity factors. This is a joint work with Dr. Ilaria Lucardesi.

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Dipartimento di Matematica ''F. Casorati''

Università degli Studi di Pavia - Via Ferrata, 5 - 27100 Pavia
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