Parameter identification in constitutive models with a posteriori error control and sensitivity assessment
Licentiatavhandling, 2005

In this thesis a framework for the calibration of constitutive models is presented. The framework involves the formulation of an optimization problem which is solved using strategies based on, essentially, Newton's method. The introduction of an additional costate field in order to incorporate the state equation has the advantage that error control in an arbitrary "goal" quantity is formally straightforward. The errors analyzed are those that arise from the Finite Element discretization and from the uncertainties in the experimental data. Among the applications, nonlinear viscoelasticity (Paper B) and moisture transport in wood (Paper C) are discussed in more detail.

Sensitivity analysis

Goal-oriented error estimate


Parameter identification


Håkan Johansson

Chalmers, Tillämpad mekanik, Material- och beräkningsmekanik

Parameter identification in constitutive models via optimization with a posteriori error control

International Journal for Numerical Methods in Engineering,; Vol. 62(2005)p. 1315-1340

Artikel i vetenskaplig tidskrift

Parameter identification for constitutive models with error control

ECCOMAS 2004, European Congress on Computational Methods in Applied Sciences and Engineering,; (2004)

Övrigt konferensbidrag




Technical report - Department of Applied Mechanics, Chalmers University of Technology, Göteborg, Sweden: 2005:07

Mer information