58 citations · 200 across the 12 of their papers we have counts for
13 papers
On the pure traction problem of linear elasticity: a regularized formulation and its robust approximation
Ahsan Kaleem, Cristian Gebhardt, Ignacio Romero
The pure traction problem of elasticity appears frequently in engineering applications, and its complexity stems from the fact that its solution is unique only up to (infinitesimal…
A variational method for the simulation of hydrogen diffusion in metals
Eva M. Andrés, Ignacio Romero
We present a new method for the approximate solution of the strongly coupled, nonlinear stress-diffusion problem that appears when modeling hydrogen transport in metals. The most s…
Grain growth competition during melt pool solidification -- Comparing phase-field and cellular automaton models
S. M. Elahi, R. Tavakoli, I. Romero +1
A broad range of computational models have been proposed to predict microstructure development during solidification processing but they have seldom been compared to each other on…
Linking discrete and continuum diffusion models: Well-posedness and stable finite element discretizations
Christina Schenk, David Portillo, Ignacio Romero
In the context of mathematical modeling, it is sometimes convenient to integrate models of different nature. These types of combinations, however, might entail difficulties even wh…
Analysis and design of bistable and thermally reversible metamaterials inspired by shape-memory alloys
Aditya Vasudevan, José A. Rodríguez-Martínez, Ignacio Romero
In this work, we study lattice structures that exhibit a bistable behavior, i. e., they can snap from one stable state to another, and are also completely reversible, capable of re…
Multiscale simulation of powder-bed fusion processing of metallic alloys
S. M. Elahi, R. Tavakoli, A. K. Boukellal +3
We present a computational framework for the simulations of powder-bed fusion of metallic alloys, which combines: (1) CalPhaD calculations of temperature-dependent alloy properties…
Energy-momentum conserving integration schemes for molecular dynamics
Mark Schiebl, Ignacio Romero
We address the formulation and analysis of energy and momentum conserving time integration schemes in the context of particle dynamics, and in particular atomic systems. The articl…
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…
Structural models based on 3D constitutive laws: variational structure and numerical solution
David Portillo, Bastian Oesterle, Rebecca Thierer +2
In all structural models, the section or fiber response is a relation between the strain measures and the stress resultants. This relation can only be expressed in a simple analyti…
Development of a thermo-mechanically coupled crystal plasticity modeling framework: application to polycrystalline homogenization
Jifeng Li, Ignacio Romero, Javier Segurado
Accurate predictions of thermo-mechanically coupled process in metals can lead to a reduction of cost and an increase of productivity in manufacturing processes such as forming. Fo…
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…
Variational principles for nonlinear Kirchhoff rods
Ignacio Romero, Cristian G. Gebhardt
The present article studies variational principles for the formulation of static and dynamic problems involving Kirchhoff rods in a fully nonlinear setting. These results, some of…
Performance Assessment of Variational Integrators for Thermomechanical Problems
Dominik Kern, Ignacio Romero, Sergio Conde Martin +1
Structure-preserving integrators are in the focus of ongoing research because of their distinguished features of robustness and long time stability. In particular, their formulatio…