Spring 2013, Thursdays, Milner 216, 4:00-4:50 PM

Date: April 11

"  Modeling wedge problem: Linearized theory v/s strain-limiting "
  Mallikarjunaiah Muddamallappa  


The classical linear elastic fracture mechanics predicts the strain (also the stress) concentration at the tip of the wedge in an infinite elastic plate subjected to antiplane shear. But the linearized theory is derived under the assumption of small strains. Hence this result contradicts the very basic assumption from which the theory is built upon. In this talk we will introduce a remedy by using strain limiting theory (nonlinear theory of elasticity). We study the problem numerically using adaptive finite element method implemented using deal.II software. The computational results indicates that the strains are bounded at the tip of the wedge even though the stresses are large.