activity
20192025
most citedA hybrid approach to simulate the homogenized irreversible elastic-plastic deformations and damage of foams by neural networks

106 citations · 254 across the 12 of their papers we have counts for

collaborators

12 papers

math.NA2025★ 2 cited

Empirical Hyper Element Integration Method (EHEIM) with Unified Integration Criteria for Efficient Hyper Reduced FE Simulations

Nils Lange, Geralf Hütter, Bjoern Kiefer

Numerical homogenization for mechanical multiscale modeling by means of the finite element method (FEM) is an elegant way of obtaining structure-property relations, if the behavior…

cond-mat.soft2024★ 4 cited

Micromorphic FE Simulation of Plastic Deformations of Foam Structures

Alexander Malik, Geralf Hütter, Martin Abendroth +1

Capturing and predicting the effective mechanical properties of highly porous cellular media still represents a significant challenge for the research community, due to their compl…

math.NA2023

Monolithic Hyper ROM FE Method with Clustered Training at Finite Deformations

Nils Lange, Geralf Hütter, Bjoern Kiefer

The usage of numerical homogenization to obtain structure-property relations using the finite element method at both the micro and macroscale has gained much interest in the resear…

physics.comp-ph2023

On the question of the sign of size effects in the elastic behavior of foams

Stephan Kirchhof, Alfons Ams, Geralf Hütter

Due to their good ratio of stiffness and strength to weight, foam materials find use in lightweight engineering. Though, in many applications like structural bending or tension, th…

cond-mat.mtrl-sci2022★ 9 cited

Interpretation of micromorphic constitutive relations for porous materials at the microscale via harmonic decomposition

Geralf Hütter

Micromorphic theories became an established tool to model size effects in materials like dispersion, localization phenomena or (apparently) size dependent properties. However, the…

math.CA2021

Analytical solution of the cylindrical torsion problem for the relaxed micromorphic continuum and other generalized continua (including full derivations)

Gianluca Rizzi, Geralf Hütter, Hassam Khan +3

We solve the St.Venant torsion problem for an infinite cylindrical rod whose behaviour is described by a family of isotropic generalized continua, including the relaxed micromorphi…

math.NA2021★ 63 cited

An efficient monolithic solution scheme for FE problems

Nils Lange, Geralf Hütter, Björn Kiefer

The FE method is a very flexible but computationally expensive tool for multiscale simulations. In conventional implementations, the microscopic displacements are iteratively s…

math.CA2020★ 32 cited

Analytical solutions of the cylindrical bending problem for the relaxed micromorphic continuum and other generalized continua (including full derivations)

Gianluca Rizzi, Geralf Hütter, Angela Madeo +1

We consider the cylindrical bending problem for an infinite plate as modelled with a family of generalized continuum models, including the micromorphic approach. The models allow t…

physics.comp-ph2020★ 20 cited

Influence of Topology and Porosity on Size Effects in Stripes of Cellular Material with Honeycomb Structure under Shear, Tension and Bending

Rinh Dinh Pham, Geralf Hütter

Cellular solids are known to exhibit size effects, i.e., differences in the apparent effective elastic moduli, when the specimen size becomes comparable to the cell size. The prese…

physics.class-ph2020

Analytical solutions of the simple shear problem for certain types of micromorphic continuum models -- including full derivations

Gianluca Rizzi, Geralf Hütter, Angela Madeo +1

To draw conclusions as regards the stability and modelling limits of the investigated continuum, we consider a family of infinitesimal isotropic generalized continuum models (Mindl…

physics.comp-ph2019★ 106 cited

A hybrid approach to simulate the homogenized irreversible elastic-plastic deformations and damage of foams by neural networks

Christoph Settgast, Geralf Hütter, Meinhard Kuna +1

Classically, the constitutive behavior of materials is described either phenomenologically, or by homogenization approaches. Phenomenological approaches are computationally very ef…

physics.comp-ph2019★ 18 cited

Kinematics and constitutive relations in the stress-gradient theory: interpretation by homogenization

Geralf Hütter, Karam Sab, Samuel Forest

The stress-gradient theory has a third order tensor as kinematic degree of freedom, which is work-conjugate to the stress gradient. This tensor was called micro-displacements just…