Search Results for author: Jan Niklas Fuhg

Found 6 papers, 2 papers with code

A review on data-driven constitutive laws for solids

no code implementations6 May 2024 Jan Niklas Fuhg, Govinda Anantha Padmanabha, Nikolaos Bouklas, Bahador Bahmani, WaiChing Sun, Nikolaos N. Vlassis, Moritz Flaschel, Pietro Carrara, Laura De Lorenzis

This review article highlights state-of-the-art data-driven techniques to discover, encode, surrogate, or emulate constitutive laws that describe the path-independent and path-dependent response of solids.

Interval and fuzzy physics-informed neural networks for uncertain fields

1 code implementation18 Jun 2021 Jan Niklas Fuhg, Ioannis Kalogeris, Amélie Fau, Nikolaos Bouklas

Partial differential equations involving fuzzy and interval fields are traditionally solved using the finite element method where the input fields are sampled using some basis function expansion methods.

A framework for data-driven solution and parameter estimation of PDEs using conditional generative adversarial networks

1 code implementation27 May 2021 Teeratorn Kadeethum, Daniel O'Malley, Jan Niklas Fuhg, Youngsoo Choi, Jonghyun Lee, Hari S. Viswanathan, Nikolaos Bouklas

This work is the first to employ and adapt the image-to-image translation concept based on conditional generative adversarial networks (cGAN) towards learning a forward and an inverse solution operator of partial differential equations (PDEs).

Computational Efficiency Image-to-Image Translation +1

Local approximate Gaussian process regression for data-driven constitutive laws: Development and comparison with neural networks

no code implementations7 May 2021 Jan Niklas Fuhg, Michele Marino, Nikolaos Bouklas

Hierarchical computational methods for multiscale mechanics such as the FE$^2$ and FE-FFT methods are generally accompanied by high computational costs.

Gaussian Processes regression

Model-data-driven constitutive responses: application to a multiscale computational framework

no code implementations6 Apr 2021 Jan Niklas Fuhg, Christoph Boehm, Nikolaos Bouklas, Amelie Fau, Peter Wriggers, Michele Marino

Computational multiscale methods for analyzing and deriving constitutive responses have been used as a tool in engineering problems because of their ability to combine information at different length scales.

A machine learning based plasticity model using proper orthogonal decomposition

no code implementations7 Jan 2020 Dengpeng Huang, Jan Niklas Fuhg, Christian Weißenfels, Peter Wriggers

In order to account for the loading history, the accumulated absolute strain is proposed to be the history variable of the plasticity model.

BIG-bench Machine Learning

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