IMA Postdoc Seminar (January 19, 2010)

Speaker: Sendova, Tsvetanka (IMA)

Title: A Continuum Theory of Fracture with Corrections for Nanoscale Effects.

Abstract: The talk will give an introduction to some basic concepts in Fracture mechanics. Materials that are fractured, no matter how small the fracture, act much differently than the same material without cracks. So it is of utmost importance to be able to understand and predict the behavior of a crack. Fracture mechanics is an area in solid mechanics that tries to explain under what conditions a crack begins, and how it grows.

I will present the analysis of several fracture models based on a new approach to modeling brittle fracture and will discuss the effects of ascribing constant and curvature-dependent surface tension to the fracture surfaces.

If time permits, the problem of interface fracture will be discussed briefly. Within the studied modeling approach, it leads to a system of four coupled singular integral equations, with a Cauchy-type singularity, which can be reduced to a four by four system of Fredholm integral equations of the second kind. We will discuss the implications of ascribing surface excess properties to the bimaterial interfaces.