Initially rigid cohesive laws and fracture based on edge rotations

• Type: Article in International Scientific Journal
• Date: 2013

Authors

Areias, P (Author) Other; Rabczuk, T (Author) Other; Camanho, PP (Author) FEUP

Journal

Title: Computational Mechanics

Vol. 52

Pages: 931-947

ISSN: 0178-7675

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 76 Citations

Scopus - 76 Citations

Scientific classification

FOS: Engineering and technology > Mechanical engineering

Other information

Authenticus ID: P-006-6ZQ

DOI: 10.1007/s00466-013-0855-6

Abstract (EN): We propose alternative methods for performing FE-based computational fracture: a mixed mode extrinsic cohesive law and crack evolution by edge rotations and nodal reposition. Extrinsic plastic cohesive laws combined with the discrete version of equilibrium form a nonlinear complementarity problem. The complementarity conditions are smoothed with the Chen-Mangasarian replacement functions which naturally turn the cohesive forces into Lagrange multipliers. Results can be made as close as desired to the pristine strict complementarity case, at the cost of convergence radius. The smoothed problem is equivalent to a mixed formulation (with displacements and cohesive forces as unknowns). In terms of geometry, our recently proposed edge-based crack algorithm is adopted. Linear control is adopted to determine the displacement/load parameter. Classical benchmarks in computational fracture as well as newly proposed tests are used in assessment with accurate results. In this sense, the proposed solution has algorithmic and accuracy advantages, at a slight penalty in the computational cost. The Sutton crack path criterion is employed in a preliminary path determination stage.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 17