Strong displacement discontinuities and Lagrange multipliers: Finite displacement formulation in the analysis of fracture problems

• Type: Article in International Scientific Journal
• Date: 2005

Authors

areias, pma (Author) Other; José César de Sá (Author) FEUP; Carlos Alberto Conceição António (Author) FEUP

Journal

Title: Latin American Journal of Solids and Structures

Vol. 2

Pages: 77-88

ISSN: 1679-7817

Publisher: Argentinean Association of Computational Mechanics

Indexing

Scopus - 0 Citations

Other information

Authenticus ID: P-009-MFM

Abstract (EN): A finite displacement formulation of a quadrilateral element containing an embedded displacement discontinuity is presented. Lagrange multipliers are adopted to ensure the crack closure before initiation. Six additional degrees of freedom in each element allow the representation of the various states of the crack. The discretized equilibrium equations are exposed, along with the corresponding exact linearization. Two examples illustrate both the robustness and the accuracy of the algorithms.

Language: English

Type (Professor's evaluation): Scientific