Anisotropic hyperelastic constitutive models for finite deformations combining material theory and data-driven approaches with application to cubic lattice metamaterials
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Publication:2033662
DOI10.1007/s00466-020-01954-7OpenAlexW3111771697WikidataQ113326783 ScholiaQ113326783MaRDI QIDQ2033662
Oliver Weeger, Mauricio Fernández, Kristian Kersting, Mostafa Jamshidian, Thomas Böhlke
Publication date: 17 June 2021
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-020-01954-7
anisotropyartificial neural networksmachine learningmetamaterialsfinite hyperelasticitydata-driven modeling
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Cites Work
- Unnamed Item
- Numerically explicit potentials for the homogenization of nonlinear elastic heterogeneous materials
- Data-driven non-linear elasticity: constitutive manifold construction and problem discretization
- Machine learning strategies for systems with invariance properties
- A Bayesian approach to selecting hyperelastic constitutive models of soft tissue
- Two-stage data-driven homogenization for nonlinear solids using a reduced order model
- Material model based on NURBS response surfaces
- Derivation of heterogeneous material laws via data-driven principal component expansions
- Material symmetry and thermostatic inequalities in finite elastic deformations
- A generalized orthotropic hyperelastic material model with application to incompressible shells
- Computational homogenization of nonlinear elastic materials using neural networks
- The Derivative with respect to a Tensor: some Theoretical Aspects and Applications