Linearization of Quasistatic Fracture Evolution in Brittle MaterialsCRC 1720: Early Career Seminar

by Pascal Steinke

Tuesday Jun 16, 2026, 2:15 PM → 3:15 PM Europe/Berlin

Endenicher Allee 60/2. OG.-040 - Room 2.040 (Mathezentrum)

In this talk, we discuss a linearization result for 
quasistatic fracture evolution in nonlinear elasticity. First we are 
going to adress the motivation and model for brittle fracture and 
discuss the notion of quasistatic evolution. We then show that as the 
stiffness of the material tends to infinity, the rescaled displacement 
fields and their associated crack sets converge to a solution of 
quasistatic crack growth in linear elasticity without any a priori 
assumptions on the geometry of the crack set. The proof relies on a 
careful study of unilateral global minimality, as determined by the 
nonlinear evolutionary problem, and its linearization together with a 
variant of the jump transfer lemma in GSBD.