Elastoplastic analysis of plane steel frames under dynamic loading

Knowledge of structural behavior is essential for designing lighter constructions without affecting their safety and quality standards. Lack of levels and characteristics of dynamic response, for example, can lead to system failure during repetitive loading application, due to the accumulation of structural damage. Thus, it becomes necessary to use more complex theories, such as nonlinear formulations, avoiding simplifications in the process of analysis/design. Plastic analysis of steel structures enhances several benefits compared to the elastic’s, because one of the most important characteristics of this material, the ductility - ability to withstand large deformations before breaking - is fully considered. This allows for force redistribution after the yielding limit of some structural member’s cross section has been achieved. This property also promotes the absorption of energy, which becomes extremely important in structures subjected to seismic excitation

Crises and collective socio-economic phenomena: simple models and challenges

Financial and economic history is strewn with bubbles and crashes, booms and busts, crises and upheavals of all sorts. Understanding the origin of these events is arguably one of the most important problems in economic theory. In this paper, we review recent efforts to include heterogeneities and interactions in models of decision. We argue that the Random Field Ising model (RFIM) indeed provides a unifying framework to account for many collective socio-economic phenomena that lead to sudden ruptures and crises. We discuss different models that can capture potentially destabilising self-referential feedback loops, induced either by herding, i.e. reference to peers, or trending, i.e. reference to the past, and account for some of the phenomenology missing in the standard models. We discuss some empirically testable predictions of these models, for example robust signatures of RFIM-like herding effects, or the logarithmic decay of spatial correlations of voting patterns. One of the most striking result, inspired by statistical physics methods, is that Adam Smith's invisible hand can badly fail at solving simple coordination problems. We also insist on the issue of time-scales, that can be extremely long in some cases, and prevent socially optimal equilibria to be reached. As a theoretical challenge, the study of so-called "detailed-balance" violating decision rules is needed to decide whether conclusions based on current models (that all assume detailed-balance) are indeed robust and generic.Comment: Review paper accepted for a special issue of J Stat Phys; several minor improvements along reviewers' comment