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15

ReseaRch PRogRammes

As they represent in an average sense the microstructural

rearrangements of the material, constitutive models describe

the stress and internal variables as functions of the strain,

strain rate and temperature. In large-scale simulations of

structures, the framework of continuum thermo-mechanics

is typically adopted to formulate the constitutive models,

while thermo-mechanical testing is used to identify the model

parameters. Advanced constitutive models, including plastic

anisotropy, non-linear isotropic and kinematic hardening,

strain-rate and temperature dependence, damage evolution

and failure, tend to have a large number of model parameters.

In close collaboration with the Lower Scale Programme, this

research programme applies multiscale methods to develop

validated constitutive models for large-scale simulations

of metal structures. Thus, the need for calibration of the

constitutive models against thermo-mechanical tests is

reduced and the prediction accuracy of the models is increased

with respect to properties that are not always easily measured

by testing. Qualitative and quantitative descriptions at different

length scales are closely accompanied by well-designed

experiments at the relevant length scales for the phenomena

of interest (from the nanoscale to the complete structure). This

provides a basis for achieving improved understanding, model

development and model validation. As the quantum, atomistic

and nanoscales are covered by the Lower Scale Programme,

this programme deals with crystal plasticity and continuum

plasticity at the micro-, meso- and macroscales.

The main themes in the research activities in 2016 have been:

• Micromechanical modelling of ductile fracture in aluminium

alloys (PhD, Lars Edvard Bryhni Dæhli)

• Ductile fracture of aluminium alloys at low stress triaxiality:

an experimental and numerical study (PhD, Bjørn Håkon

Frodal)

• Micromechanical modelling and simulation of steel

materials (PhD, Sondre Bergo)

• Modelling and simulation of localization, damage and

fracture in age-hardening aluminium alloys (Principal

investigator S. Dumoulin)

• Micromechanical modelling and simulation of dual-phase

steels (Principal investigator A. Saai)

• Strain gradient plasticity (Principal investigator T. Berstad)

In addition to researchers at SINTEF Materials & Chemistry

and professors at NTNU, three PhD candidates are linked to

the activities in the research programme, namely Lars Edvard

Bryhni Dæhli (2013-2017), Bjørn Håkon Frodal (2015-2019) and

Sondre Bergo (2016-2020).

As an example of the research activities, the SIMLab Crystal

Mechanics Model (SCMM) has been extended in 2016 by

including dynamic strain aging, which leads to jerky plastic

flow in some aluminium alloys and inhomogeneous deformation

with propagating localization bands. We can now model this

behaviour using the crystal plasticity finite element method

where grains are discretized into elements. Figure 5 shows a

finite element model of a tensile test in which the grains are

discretized, while the simulated propagating localization bands

under tensile loading are illustrated in Figure 6.

Metallic Materials

Head of Programme: Odd Sture Hopperstad

Figure 5: Mesh of the 3D aggregate made of 1200 grains.

Figure 6: Contour plots of von Mises plastic strain rate (log scale) from the

simulation with initial rate of 1.0×10-

2

s-

1

.