Energy-Entropy-Momentum integration of discrete thermo-visco-elastic dynamics.

A novel time integration scheme is presented for the numerical solution of the dynamics of discrete systems consisting of point masses and thermo-visco-elastic springs. Even considering fully coupled constitutive laws for the elements, the obtained solutions strictly preserve the two laws of thermo dynamics and the symmetries of the continuum evolution equations. Moreover, the unconditional control over the energy and the entropy growth have the effect of stabilizing the numerical solution, allowing the use of larger time steps than those suitable for comparable implicit algorithms. Proofs for these claims are provided in the article as well as numerical examples that illustrate the performance of the method.

Thermodinamically consistent dynamic formulation of discrete thermoviscoelastic elements

Metodología para integrar numéricamente de forma termodinámicamente consistente las ecuaciones del problema termomecánico acoplado de un elemento discreto viscoso.

The flexibility matrix o timber composite beams with a discrete connection system

This work presents a method for the analysis of timber composite beams which considers the slip in the connection system, based on assembling the flexibility matrix of the whole structure. This method is based on one proposed by Tommola and Jutila (2001). This paper extends the method to the case of a gap between two pieces with an arbitrary location at the first connector, which notably broadens its practical application. The addition of the gap makes it possible to model a cracked zone in concrete topping, as well as the case in which forming produces the gap. The consideration of induced stresses due to changes in temperature and moisture content is also described, while the concept of equivalent eccentricity is generalized. This method has important advantages in connection with the current European Standard EN 1995-1-1: 2004, as it is able to deal with any type of load, variable section, discrete and non-regular connection systems, a gap between the two pieces, and variations in temperature and moisture content. Although it could be applied to any structural system, it is specially suited for the case of simple supported and continuous beams. Working examples are presented at the end, showing that the arrangement of the connection notably modifies shear force distribution. A first interpretation of the results is made on the basis of the strut and tie theory. The examples prove that the use of EC-5 is unsafe when, as a rule of thumb, the strut or compression field between the support and the first connector is at an angle with the axis of the beam of less than 60º.

Rebalancing urban mobility: a tale of four cities

The key of mobility in urban planning is not in dispute. Integrated strategies that take into account the interrelations among land use, transport supply and demand and the different transportation modes are more necessary than ever. In Europe, regulatory tools such as local mobility plans or traffic plans have been enforced for a long time, evolving into so-called sustainable urban transport plans (SUTP) ? that is, plans thatmerge urban planning,mobility governance, social awareness and environmental safeguards to develop a vision based on sustainability and equity. Indeed, SUTP are aimed at solving typical problems in current land use, such as urban sprawl, which make clear the need for a paradigm shift from transport (or mobility) planning to land use (or city) planning, thereby producing urban mobility plans that are fully aligned with integrated urban development plans. This paper describes how SUTP are articulated across Europe according to four case studies: Peterborough (UK), Chambe¿ry (France), Ferrara (Italy) and Pinto (Spain), to highlight variations and commonalities, both among the four national legal frameworks and the actual planning processes at the local level. Objectives, measures and indicators used in the monitoring and evaluation phases have been analysed and the results assessed. The main conclusion of the paper is that, as seen in these real-life examples, the lack of integration between spatial planning and transport strategies results in the unsustainability of urban areas and, therefore, in a significant loss of competitiveness.

Classification of discrete systems on a square lattice

We consider the classification up to a Möbius transformation of real linearizable and integrable partial difference equations with dispersion defined on a square lattice by the multiscale reduction around their harmonic solution. We show that the A1, A2, and A3 linearizability and integrability conditions constrain the number of parameters in the equation, but these conditions are insufficient for a complete characterization of the subclass of multilinear equations on a square lattice.