Session Details
MS16-1: Reduced Order Models for Multiscale and Multiphysics Problems (Ganzes Minisymposium anzeigen)
Wednesday, 11. October 2017; 10:30 - 12:30 Uhr in Raum 7.02
Sitzungsleitung: Ralf Jänicke
10:30
Partial mechanics of far fields in elastoplastic structures (Keynote)
David Ryckelynck (MINES ParisTech)
Kurzfassung:
We propose a reduced-modeling protocol that accounts of topological modifications in elastoplastic structures. We assume that topological modifications and mesh adaptations are restricted to a subdomain termed the zone of interest. This zone of interest is surrounded by an hyper-reduced order model that propagates boundary conditions by using empirical modes.
Partial mechanics of far fields in elastoplastic structures (Keynote)
David Ryckelynck (MINES ParisTech)
Kurzfassung:
We propose a reduced-modeling protocol that accounts of topological modifications in elastoplastic structures. We assume that topological modifications and mesh adaptations are restricted to a subdomain termed the zone of interest. This zone of interest is surrounded by an hyper-reduced order model that propagates boundary conditions by using empirical modes.
11:10
Viscoplastic reduced order homogenization using mixed formulations
Federica Covezzi (University of Bologna), Stefano de Miranda (University of Bologna), Felix Fritzen (University of Stuttgart), Sonia Marfia (University of Cassino and of Southern Lazio), Elio Sacco (University of Cassino and of Southern Lazio)
Kurzfassung:
The effective response of viscoplastic composites is studied by means of two reduced order models that use a mixed variational formulation developed in the framework of the Transformation Field Analysis : the pRBMOR and the MxTFA. The MxTFA is based on a mixed variational formulation of viscoplasticity involving stress and plastic multiplier as independent variables, while the pRBMOR assumes non uniform inelastic strain and hardening modes. Examples show the capabilities of the two approaches.
Viscoplastic reduced order homogenization using mixed formulations
Federica Covezzi (University of Bologna), Stefano de Miranda (University of Bologna), Felix Fritzen (University of Stuttgart), Sonia Marfia (University of Cassino and of Southern Lazio), Elio Sacco (University of Cassino and of Southern Lazio)
Kurzfassung:
The effective response of viscoplastic composites is studied by means of two reduced order models that use a mixed variational formulation developed in the framework of the Transformation Field Analysis : the pRBMOR and the MxTFA. The MxTFA is based on a mixed variational formulation of viscoplasticity involving stress and plastic multiplier as independent variables, while the pRBMOR assumes non uniform inelastic strain and hardening modes. Examples show the capabilities of the two approaches.
11:30
Reduced order modeling of the viscoelastic properties of asphalt concrete
Dennis Wingender (Ruhr University Bochum), Felix Fritzen (University of Stuttgart), Ralf Jänicke (Chalmers University of Technology)
Kurzfassung:
Mastic asphalt is a highly heterogeneous mixture consisting of elastic mineral aggregates and of an viscoelastic bituminous binding agent. To obtain the mixture's overall material behavior, we apply computational homogenization and order reduction. We computationally generate statistical volume elements based on real-data from X-Ray Computed Tomography. The resulting macroscopic material model is used to verify the method in comparison to laboratory experiments.
Reduced order modeling of the viscoelastic properties of asphalt concrete
Dennis Wingender (Ruhr University Bochum), Felix Fritzen (University of Stuttgart), Ralf Jänicke (Chalmers University of Technology)
Kurzfassung:
Mastic asphalt is a highly heterogeneous mixture consisting of elastic mineral aggregates and of an viscoelastic bituminous binding agent. To obtain the mixture's overall material behavior, we apply computational homogenization and order reduction. We computationally generate statistical volume elements based on real-data from X-Ray Computed Tomography. The resulting macroscopic material model is used to verify the method in comparison to laboratory experiments.
11:50
Two-scale Reduced Basis Homogenization under Large Deformations
Oliver Kunc (University of Stuttgart), Felix Fritzen (University of Stuttgart)
Kurzfassung:
In this work, the first aim is to solve the task of two-scale homogenization of nonlinear materials for large deformations. We propose a model with a reduced basis for the deformation gradient. The accuracy of the predictions is evaluated online. The main benefit of this approach is the reduction of both CPU time and memory requirements. It also opens opportunities for generalization and further acceleration which are also discussed, e.g. data-driven techniques.
Two-scale Reduced Basis Homogenization under Large Deformations
Oliver Kunc (University of Stuttgart), Felix Fritzen (University of Stuttgart)
Kurzfassung:
In this work, the first aim is to solve the task of two-scale homogenization of nonlinear materials for large deformations. We propose a model with a reduced basis for the deformation gradient. The accuracy of the predictions is evaluated online. The main benefit of this approach is the reduction of both CPU time and memory requirements. It also opens opportunities for generalization and further acceleration which are also discussed, e.g. data-driven techniques.
12:10
Two-Phase Model-Reduction for Two-Scale Simulations of Components
Matthias Kabel (Fraunhofer Institute for Industrial Mathematics ITWM)
Kurzfassung:
The Nonuniform Transformation Field Analysis (NTFA) has been introduced by Suquet et al. to make two-scale simulations of components feasible for industrial sized problems. To reduce the computational complexity of the "offline" phase of the NTFA, the micro-solver applies the recently introduced composite voxel technique. The predicted effective response will be compared to both the original NTFA method using micro-scale simulations at full resolution and direct simulations.
Two-Phase Model-Reduction for Two-Scale Simulations of Components
Matthias Kabel (Fraunhofer Institute for Industrial Mathematics ITWM)
Kurzfassung:
The Nonuniform Transformation Field Analysis (NTFA) has been introduced by Suquet et al. to make two-scale simulations of components feasible for industrial sized problems. To reduce the computational complexity of the "offline" phase of the NTFA, the micro-solver applies the recently introduced composite voxel technique. The predicted effective response will be compared to both the original NTFA method using micro-scale simulations at full resolution and direct simulations.