activity
20192023
most citedA new conservative/dissipative time integration scheme for nonlinear mechanical systems

23 citations · 48 across the 7 of their papers we have counts for

collaborators

7 papers

cs.CE2023★ 2 cited

Nonlinear dynamic analysis of shear- and torsion-free rods using isogeometric discretization and outlier removal

Thi-Hoa Nguyen, Bruno A. Roccia, René R. Hiemstra +2

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 robus…

math.NA2021★ 7 cited

A finite element method for simulating soft active non-shearable rods immersed in generalized Newtonian fluids

Roberto F. Ausas, Cristian G. Gebhardt, Gustavo C. Buscaglia

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…

math.NA2019★ 1 cited

A Framework for Data-Driven Computational Dynamics Based on Nonlinear Optimization

Cristian Guillermo Gebhardt, Marc Christian Steinbach, Dominik Schillinger +1

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,…

physics.class-ph2019★ 2 cited

The rotating rigid body model based on a non-twisting frame

Cristian Guillermo Gebhardt, Ignacio Romero

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 ro…

math.NA2019

A Framework for Data-Driven Computational Mechanics Based on Nonlinear Optimization

Cristian Guillermo Gebhardt, Dominik Schillinger, Marc Christian Steinbach +1

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 st…

math.NA2019★ 23 cited

A new conservative/dissipative time integration scheme for nonlinear mechanical systems

Cristian G. Gebhardt, Ignacio Romero, Raimund Rolfes

We present a conservative/dissipative time integration scheme for nonlinear mechanical systems. Starting from a weak form, we derive algorithmic forces and velocities that guarante…