Korn–Poincaré Inequalities for Functions with a Small Jump Set

Chambolle, A., Conti, S., & Francfort, G. (2016). Korn–Poincaré Inequalities for Functions with a Small Jump Set. Indiana University Mathematics Journal, 1373-1399.

Type

Journal article

Intellectual base

Primary research

Year

2016

Pages

1373-1399

DOI

10.1512/iumj.2016.65.5852

DOI registrant

Indiana University Mathematics Journal

Link

https://doi.org/10.1512/iumj.2016.65.5852

Cited by

1 citation across 1 artifact.

Domain-specific

• Bounded deformation
  • … BD because its symmetric derivative comprises bulk strain plus a surface measure determined by the jump and interface normal. to In a variational brittle-fracture model, an SBD displacement represents elastic strain in the bulk and an explicitly rectifiable jump set representing cracks. demonstrates that continuity.

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