65 citations · 244 across the 12 of their papers we have counts for
14 papers
In silico high-resolution whole lung model to predict the locally delivered dose of inhaled drugs
Maximilian J. Grill, Jonas Biehler, Karl-Robert Wichmann +8
The big crux with drug delivery to human lungs is that the delivered dose at the local site of action is unpredictable and very difficult to measure, even a posteriori. It is highl…
Asymptotically consistent and computationally efficient modeling of short-ranged molecular interactions between curved slender fibers undergoing large 3D deformations
Maximilian J. Grill, Wolfgang A. Wall, Christoph Meier
This article proposes a novel computational modeling approach for short-ranged molecular interactions between curved slender fibers undergoing large 3D deformations, and gives a de…
Analytical disk-cylinder interaction potential laws for the computational modeling of adhesive, deformable (nano)fibers
Maximilian J. Grill, Wolfgang A. Wall, Christoph Meier
The analysis of complex fibrous systems or materials on the micro- and nanoscale, which have a high practical relevance for many technical or biological systems, requires accurate…
Finite Element Formulations for Beam-to-Solid Interaction -- From Embedded Fibers Towards Contact
Alexander Popp, Ivo Steinbrecher
Contact and related phenomena, such as friction, wear or elastohydrodynamic lubrication, remain as one of the most challenging problem classes in nonlinear solid and structural mec…
Generalized Section-Section Interaction Potentials in the Geometrically Exact Beam Theory: Modeling of Intermolecular Forces, Asymptotic Limit as Strain-Energy Function, and Formulation of Rotational Constraints
Christoph Meier, Maximilian J. Grill, Wolfgang A. Wall
The present contribution proposes a universal framework to formulate generalized section-section interaction potentials (SSIP) within the geometrically exact beam theory. By exploi…
A computational framework for modeling cell-matrix interactions in soft biological tissues
Jonas F. Eichinger, Maximilian J. Grill, Iman Davoodi Kermani +4
Living soft tissues appear to promote the development and maintenance of a preferred mechanical state within a defined tolerance around a so-called set-point. This phenomenon is of…
A Novel Modeling and Simulation Approach for the Hindered Mobility of Charged Particles in Biological Hydrogels
Maximilian J. Grill, Jonas F. Eichinger, Jonas Koban +3
This article presents a novel computational model to study the selective filtering of biological hydrogels due to the surface charge and size of diffusing particles. It is the firs…
Disordered biopolymer filament bundles: Topological defects and kinks
Valentin M. Slepukhin, Maximilian J. Grill, Qingda Hu +3
Bundles of stiff filaments are ubiquitous in the living world, found both in the cytoskeleton and in the extracellular medium. These bundles are typically held together by smaller…
Directed force propagation in semiflexible networks
Maximilian J. Grill, Jonathan Kernes, Valentin M. Slepukhin +2
We consider the propagation of tension along specific filament of a semiflexible filament network in response to the application of a point force using a combination of numerical s…
A mortar-type finite element approach for embedding 1D beams into 3D solid volumes
Ivo Steinbrecher, Matthias Mayr, Maximilian J. Grill +3
In this work we present a novel computational method for embedding arbitrary curved one-dimensional (1D) fibers into three-dimensional (3D) solid volumes, as e.g. in fiber-reinforc…
Investigation of the Peeling and Pull-off Behavior of Adhesive Elastic Fibers via a Novel Computational Beam Interaction Model
Maximilian J. Grill, Christoph Meier, Wolfgang A. Wall
This article studies the fundamental problem of separating two adhesive elastic fibers based on numerical simulation employing a recently developed finite element model for molecul…
A Computational Model for Molecular Interactions Between Curved Slender Fibers Undergoing Large 3D Deformations With a Focus on Electrostatic, van der Waals and Repulsive Steric Forces
Maximilian J. Grill, Wolfgang A. Wall, Christoph Meier
This contribution proposes the first 3D beam-to-beam interaction model for molecular interactions between curved slender fibers undergoing large deformations. While the general mod…
The conformation of a semiflexible filament in a quenched random potential
Valentin M. Slepukhin, Maximilian J. Grill, Kei W. Müller +2
Motivated by the observation of the storage of excess elastic free energy - (prestress) -- in cross linked semiflexible networks, we consider the problem of the conformational stat…
Geometrically exact beam elements and smooth contact schemes for the modeling of fiber-based materials and structures
Christoph Meier, Maximilian J. Grill, Wolfgang A. Wall +1
Recently, the authors have proposed a novel all-angle beam contact (ABC) formulation that combines the advantages of existing point and line contact models in a variationally consi…