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of 134
pro vyhledávání: '"Gebhardt, Cristian"'
In this work we consider the hybrid Data-Driven Computational Mechanics (DDCM) approach, in which a smooth constitutive manifold is reconstructed to obtain a well-behaved nonlinear optimization problem (NLP) rather than the much harder discrete-conti
Externí odkaz:
http://arxiv.org/abs/2311.04083
Autor:
Nguyen, Thi-Hoa, Roccia, Bruno A., Hiemstra, René R., Gebhardt, Cristian G., Schillinger, Dominik
In this paper, we present a discrete formulation of nonlinear shear- and torsion-free rods introduced by Gebhardt and Romero in [20] that uses isogeometric discretization and robust time integration. Omitting the director as an independent variable f
Externí odkaz:
http://arxiv.org/abs/2309.10652
In this article, we present new computational realizations of principal geodesic analysis for the unit sphere $S^2$ and the special orthogonal group $SO(3)$. In particular, we address the construction of long-time smooth lifts across branches of the
Externí odkaz:
http://arxiv.org/abs/2209.03654
Publikováno v:
In Communications in Nonlinear Science and Numerical Simulation July 2024 134
Publikováno v:
In Applied Numerical Mathematics July 2024 201:579-607
We propose a finite element method for simulating one-dimensional solid models moving and experiencing large deformations while immersed in generalized Newtonian fluids. The method is oriented towards applications involving microscopic devices or org
Externí odkaz:
http://arxiv.org/abs/2107.12841
Akademický článek
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Autor:
Gebhardt, Cristian Guillermo, Steinbach, Marc Christian, Schillinger, Dominik, Rolfes, Raimund
In this article, we present an extension of the formulation recently developed by the authors (A Framework for Data-Driven Computational Mechanics Based on Nonlinear Optimization, arXiv:1910.12736 [math.NA]) to the structural dynamics setting. Inspir
Externí odkaz:
http://arxiv.org/abs/1912.11391
This work proposes and investigates a new model of the rotating rigid body based on the non-twisting frame. Such a frame consists of three mutually orthogonal unit vectors whose rotation rate around one of the three axis remains zero at all times and
Externí odkaz:
http://arxiv.org/abs/1911.03666
Autor:
Gebhardt, Cristian Guillermo, Schillinger, Dominik, Steinbach, Marc Christian, Rolfes, Raimund
Data-Driven Computational Mechanics is a novel computing paradigm that enables the transition from standard data-starved approaches to modern data-rich approaches. At this early stage of development, one can distinguish two mainstream directions. The
Externí odkaz:
http://arxiv.org/abs/1910.12736