no code implementations • 25 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.
no code implementations • 2 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
no code implementations • 25 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.
1 code implementation • 30 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
1 code implementation • 2 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