activity
20222026
most citedA graph-based probabilistic geometric deep learning framework with online enforcement of physical constraints to predict the criticality of defects in porous materials

14 citations · 16 across the 4 of their papers we have counts for

collaborators

6 papers

math.NA2026

A structure-preserving discretisation of SO(3)-rotation fields for finite Cosserat micropolar elasticity

Lucca Schek, Peter Lewintan, Wolfgang Müller +5

We introduce a new method, dubbed Geometric Structure-Preserving Interpolation (-SPIN) to preserve physics-constraints inherent in the material parameter limits of the finite-st…

cond-mat.mtrl-sci2025

Cosserat micropolar and couple-stress elasticity models of flexomagnetism at finite deformations

Adam Sky, David Codony, Stephan Rudykh +3

We propose geometrically nonlinear (finite) continuum models of flexomagnetism based on the Cosserat micropolar and its descendent couple-stress theory. These models introduce the…

q-bio.TO2025★ 2 cited

Hierarchical poromechanical approach to investigate the impact of mechanical loading on human skin micro-circulation

Thomas Lavigne, Stéphane Urcun, Bérengère Fromy +6

Research on human skin anatomy reveals its complex multi-scale, multi-phase nature, with up to 70% of its composition being bounded and free water. Fluid movement plays a key role…

math.NA2024

Intrinsic mixed-dimensional beam-shell-solid couplings in linear Cosserat continua via tangential differential calculus

Adam Sky, Jack S. Hale, Andreas Zilian +2

We present an approach to the coupling of mixed-dimensional continua by employing the mathematically enriched linear Cosserat micropolar model. The kinematical reduction of the mod…

math.NA2024

Enhancing Biomechanical Simulations Based on A Posteriori Error Estimates: The Potential of Dual Weighted Residual-Driven Adaptive Mesh Refinement

Huu Phuoc Bui, Michel Duprez, Pierre-Yves Rohan +4

The Finite Element Method (FEM) is a well-established procedure for computing approximate solutions to deterministic engineering problems described by partial differential equation…

cs.CE2022★ 14 cited

A graph-based probabilistic geometric deep learning framework with online enforcement of physical constraints to predict the criticality of defects in porous materials

Vasilis Krokos, Stéphane P. A. Bordas, Pierre Kerfriden

Stress prediction in porous materials and structures is challenging due to the high computational cost associated with direct numerical simulations. Convolutional Neural Network (C…