A density result for GSBD and its application to the approximation of brittle fracture energies

By Flaviana Iurlano. Calculus of Variations and Partial Differential Equations, 2013

67 citations recorded by the source corpus.

Subfields: Mechanical Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/562706d452576faef60cbb35704faebc0059bfcf

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Mechanical Engineering

1. Sergio Conti

In Mechanics of Materials

1. Sergio Conti
2. Flaviana Iurlano
3. Matteo Focardi
4. Jian-Ying Wu

Citations in the corpus

• Crack nucleation in variational phase-field models of brittle fracture (2018, unknown): “…a broad class of energies, including the ones above was achieved with various degrees of refinement going from static scalar elasticity to time discrete and time continuous quasi-static evolution linearized elasticity, and their finite element discretization [12, 16, 23, 46, 27, 28, 45, 25, 26, 56].”
• Phase field approximation of cohesive fracture models (2014, background): “This result was extended in many directions, for example to vector-valued functions [28, 29], to linearized elasticity [22, 23, 34], to second-order problems [4], vectorial problems [38], and models with nonlinear injectivity constraints [27]; for numerical simulations we refer to [11, 15, 14, 20, 2”