The ability of children and adults to generate symbolic and non-symbolic magnitude estimations was examined in the light of their familiarity with numbers. Children (6-year-old kindergartners, 7-year-old first graders, and 9-year-old third graders) and adults made symbolic estimations either by saying number words that matched numbers of dots (i.e., perception task) or by generating numbers of dots that matched given number words (i.e., production task). In the non-symbolic estimation task, participants generated the ...

This paper is targeted on numerical methods for accurate crack tip loading analysis and crack path prediction. Those are based on finite element calculations of the boundary value problem. Applying path-independent integrals to curved cracks in order to accurately calculate the J-integral, energy release rate (ERR) or stress intensity factors (SIF) is still not state of the art. Contours which are not confined to the crack tip require special analytical preparation and numerical treatment to supply results which are ...

The paper argues for a governmentality perspective on risk-management politics and resilience-related governance. This perspective pays ample attention to conflicts and discursive ‘battles’ in which different truths and normative assessments, including specific rationalities, subjectivities and technologies of governing compete against. Up to now, the literature on governmentality and resilience has mainly been based on empirical research in the UK. This research highlights the growing importance of neoliberal forms ...

Fracture and damage processes on micro- and mesoscale are combined with macroscale simulations applying numerical multiscale approaches. Cracks and grain boundaries are reproduced in cell models that take account of transand intercrystalline crack growth. The global, in general thermomechanical boundary value problem is considered within a continuum mechanics framework. Two approaches are presented combining the scales. Simple processes on the smaller level are described in analytical models including the damage ...

Many ultrafast structural phenomena in solids at high fluences are related to the hardening or softening of particular lattice vibrations at lower fluences. In this paper we relate femtosecond-laser-induced phonon frequency changes to changes in the electronic density of states, which need to be evaluated only in the electronic ground state, following phonon displacement patterns. We illustrate this relationship for a particular lattice vibration of magnesium, for which we—surprisingly—find that there is both softening ...