Search Results for author: Paul Steinmann

Found 5 papers, 2 papers with code

Automated discovery of interpretable hyperelastic material models for human brain tissue with EUCLID

no code implementations25 May 2023 Moritz Flaschel, Huitian Yu, Nina Reiter, Jan Hinrichsen, Silvia Budday, Paul Steinmann, Siddhant Kumar, Laura De Lorenzis

Following the motive of the recently proposed computational framework EUCLID (Efficient Unsupervised Constitutive Law Identitication and Discovery) and in contrast to conventional parameter calibration methods, we construct an extensive set of candidate hyperelastic models, i. e., a model library including popular models known from the literature, and develop a computational strategy for automatically selecting a model from the library that conforms to the available experimental data while being represented as an interpretable symbolic mathematical expression.

Model Selection regression

A Variational Integrator for the Discrete Element Method

no code implementations2 Mar 2021 David N. De Klerk, Thomas Shire, Zhiwei Gao, Andrew T. McBride, Christopher J. Pearce, Paul Steinmann

A novel implicit integration scheme for the Discrete Element Method (DEM) based on the variational integrator approach is presented.

Numerical Analysis Soft Condensed Matter Numerical Analysis

Concurrent consideration of cortical and cancellous bone within continuum bone remodelling

no code implementations25 Nov 2020 Ina Schmidt, Areti Papastavrou, Paul Steinmann

Continuum bone remodelling is an important tool for predicting the effects of mechanical stimuli on bone density evolution.

A matrix-free approach for finite-strain hyperelastic problems using geometric multigrid

1 code implementation30 Apr 2019 Denis Davydov, Jean-Paul Pelteret, Daniel Arndt, Paul Steinmann

We conclude that the application of matrix-free methods to finite-strain solid mechanics is promising, and that is it possible to develop numerically efficient implementations that are independent of the hyperelastic constitutive law.

Numerical Analysis Computational Physics

A finite element implementation of surface elasticity at finite strains using the deal.II library

1 code implementation2 Jun 2015 Andrew McBride, Ali Javili, Paul Steinmann, B Daya Reddy

The objective of this contribution is to detail the finite element approximation of the underlying governing equations (both in the volume and on its surface) and their solution using the open-source finite element library deal. II.

Numerical Analysis Computational Physics

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