Finite Element Procedures for the Numerical Simulation of CRack Propagation and Bilateral Contact
Doktorsavhandling, 2006

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.

10.00 ED-salen, Hörsalsvägen 11, Chalmers
Opponent: Professor Paul Steinmann, Universität Kaiserslautern, Germany

Författare

Per Heintz

Chalmers, Tillämpad mekanik, Beräkningsteknik

Stabilized Lagrange multiplier methods for elastic contact with friction,

Computer Methods in Applied Mechanics and Engineering,; Vol. 195(2006)p. 4323-4333

Artikel i vetenskaplig tidskrift

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

International Journal for Numerical Methods in Engineering,; Vol. 60(2004)p. 1287-1299

Artikel i vetenskaplig tidskrift

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

International Journal for Numerical Methods in Engineering,; Vol. 65(2006)p. 174-189

Artikel i vetenskaplig tidskrift

On adaptive strategies and error control in fracture mechanics

Computers & Structures,; Vol. 82(2004)p. 485-497

Artikel i vetenskaplig tidskrift

Ämneskategorier

Teknisk mekanik

ISBN

91-7291-823-3

Doktorsavhandlingar vid Chalmers tekniska högskola. Ny serie: 2505

10.00 ED-salen, Hörsalsvägen 11, Chalmers

Opponent: Professor Paul Steinmann, Universität Kaiserslautern, Germany