Physics informed neural networks for continuum micromechanics

Abstract: The present work proposes a Physics Informed Neural Network (PINN) for solving boundary value problems in continuum micromechanics. The presented technique is therefore an alternative to the finite element method or Fourier transform based methods. In this context, a neural network is used to approximate the function solving the partial differential equation. The theory of PINN in the context of micromechanics is developed.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
Physics informed neural networks for continuum micromechanics ; volume:21 ; number:1 ; year:2021 ; extent:2
Proceedings in applied mathematics and mechanics ; 21, Heft 1 (2021) (gesamt 2)

Creator
Henkes, Alexander
Wessels, Henning
Mahnken, Rolf

DOI
10.1002/pamm.202100040
URN
urn:nbn:de:101:1-2021121514281568508336
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
15.08.2025, 7:36 AM CEST

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Associated

  • Henkes, Alexander
  • Wessels, Henning
  • Mahnken, Rolf

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