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Finite Element Procedures for the Numerical Simulation of CRack Propagation and Bilateral Contact

Per Heintz (Institutionen för tillämpad mekanik, Beräkningsteknik)
Göteborg : Chalmers University of Technology, 2006. ISBN: 91-7291-823-3.- 115 s.
[Doktorsavhandling]

This thesis concerns finite element methods for the numerical simulation of crack propagation including contact formulations for the contact between deformable bodies. The classical integral formulations for the energy release rate at crack growth are considered and adaptive algorithms are developed. In addition, we derive three different strategies for computing the material forces at a cracktip and the different strategies are compared. A new stabilized Lagrange multiplier method is presented where the multipliers are discretized with global polynomials. The method allows for non-matching meshes at the contact interface and the delicate problem of integrating products of basis functions between the master and slave body is alleviated. A discontinuous Galerkin method for cutting elements independent of the mesh structure is extended to the problem of a propagating crack whereby different strategies for computing the crack driving force are considered.



Denna post skapades 2007-01-09. Senast ändrad 2013-09-25.
CPL Pubid: 22455

 

Institutioner (Chalmers)

Institutionen för tillämpad mekanik, Beräkningsteknik (2005-2006)

Ämnesområden

Fastkroppsmekanik

Chalmers infrastruktur

Relaterade publikationer

Inkluderade delarbeten:


Adaptive strategies and error control for computing material forces in fracture mechanics


On the numerical modelling of quasi-static crack growth in linear elastic fracture mechanics


On adaptive strategies and error control in fracture mechanics


Stabilized Lagrange multiplier methods for elastic contact with friction,


Examination

Datum: 2006-09-28
Tid: 10.00
Lokal: 10.00 ED-salen, Hörsalsvägen 11, Chalmers
Opponent: Professor Paul Steinmann, Universität Kaiserslautern, Germany

Ingår i serie

Doktorsavhandlingar vid Chalmers tekniska högskola. Ny serie 2505