A Manifold Learning Approach to Data-Driven Computational Elasticity and Inelasticity

Standard simulation in classical mechanics is based on the use of two very different types of equations. The first one, of axiomatic character, is related to balance laws (momentum, mass, energy, ...), whereas the second one consists of models that scientists have extracted from collected, natural or synthetic data. Even if one can be confident on the first type of equations, the second one contains modeling errors. Moreover, this second type of equations remains too particular and often fails in describing new experimental results. The vast majority of existing models lack of generality, and therefore must be constantly adapted or enriched to describe new experimental findings. In this work we propose a new method, able to directly link data to computers in order to perform numerical simulations. These simulations will employ axiomatic, universal laws while minimizing the need of explicit, often phenomenological, models. This technique is based on the use of manifold learning methodologies, that allow to extract the relevant information from large experimental datasets

Data-Driven Computational Plasticity

The use of constitutive equations calibrated from data collected from adequate testing has been implemented successfully into standard solvers for successfully addressing a variety of problems encountered in SBES (simulation based engineering sciences). However, the complexity remains constantly increasing due to the more and more fine models being considered as well as the use of engineered materials. Data-Driven simulation constitutes a potential change of paradigm in SBES. Standard simulation in classical mechanics is based on the use of two very different types of equations. The first one, of axiomatic character, is related to balance laws (momentum, mass, energy.), whereas the second one consists of models that scientists have extracted from collected, natural or synthetic data. Data-driven simulation consists of directly linking data to computers in order to perform numerical simulations. These simulations will use universal laws while minimizing the need of explicit, often phenomenological, models. This work revisits our former work on data-driven computational linear and nonlinear elasticity and the rationale is extended for addressing computational inelasticity (viscoelastoplasticity)

Fast simulation of the pantograph-catenary dynamic interaction

Simulation of the pantograph-catenary dynamic interaction has now become a useful tool for designing and optimizing the system. In order to perform accurate simulations, including system non-linearities, the Finite Element Method is commonly employed combined with a time integration scheme, even though the computational time required may be longer than with the use of other simpler approaches. In this paper we propose a two-stage methodology (Offline/Online) which notably reduces the computational cost without any loss in accuracy and makes it possible to successfully carry out very efficient optimizations or even Hardware in the Loop simulations with real-time requirements.The authors would like to acknowledge the financial support received from the FPU program offered by the Ministerio de Educacion, Cultura y Deporte under grant number (FPU13/04191), and also funding from the Universitat Politecnica de Valencia and the Generalitat Valenciana (PROMETEO/2016/007).Gregori Verdú, S.; Tur Valiente, M.; Nadal Soriano, E.; Aguado, J.; Fuenmayor Fernández, FJ.; Chinesta, F. (2017). Fast simulation of the pantograph-catenary dynamic interaction. Finite Elements in Analysis and Design. 129:1-13. https://doi.org/10.1016/j.finel.2017.01.007S11312

RÉPONSE IMPULSIONNELLE INVERSE PARAMÉTRIQUE. UNE APPROCHE BASÉE SUR LA RÉDUCTION DE MODÈLES ET DES EXCITATIONS ALÉATOIRES

International audienc

RÉPONSE IMPULSIONNELLE INVERSE PARAMÉTRIQUE. UNE APPROCHE BASÉE SUR LA RÉDUCTION DE MODÈLES ET DES EXCITATIONS ALÉATOIRES

International audienc

From standard to fractional structural visco-elastodynamics: Application to seismic site response

This paper revisits visco-elastodynamics from its most standard formulation to some more advanced description involving frequency-dependent damping (or viscosity), analyzing the effects of considering fractional derivatives for representing such viscous contributions. We will prove that such a choice results in richer models that can accommodate different constraints related to the dissipated power, response amplitude and phase angle. Moreover, the use of fractional derivatives allows to accommodate in parallel, within a generalized Kelvin-Voigt analog, many dashpots that contribute to increase the modeling flexibility for describing experimental findings. Finally, the effect of fractional damping in dynamic soil models will be addressed within a seismic site analyses framework