65 citations · 244 across the 12 of their papers we have counts for
8 papers · 1 filter
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…
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 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…
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…