## 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.