Reduced and all-at-once approaches for model calibration and discovery in computational solid mechanics

U Römer, S Hartmann, JA Tröger… - Applied …, 2024 - asmedigitalcollection.asme.org
In the framework of solid mechanics, the task of deriving material parameters from
experimental data has recently re-emerged with the progress in full-field measurement …

[HTML][HTML] Versatile data-adaptive hyperelastic energy functions for soft materials

S Wiesheier, MA Moreno-Mateos… - Computer Methods in …, 2024 - Elsevier
Applications of soft materials are customarily linked to complex deformation scenarios and
material nonlinearities. In the bioengineering field, soft materials typically mimic the low …

NN-EVP: A physics informed neural network-based elasto-viscoplastic framework for predictions of grain size-aware flow response

A Eghtesad, J Tan, JN Fuhg, N Bouklas - International Journal of Plasticity, 2024 - Elsevier
We propose a physics informed, neural network-based elasto-viscoplasticity (NN-EVP)
constitutive modeling framework for predicting the flow response in metals as a function of …

[HTML][HTML] HyperCAN: Hypernetwork-driven deep parameterized constitutive models for metamaterials

L Zheng, DM Kochmann, S Kumar - Extreme Mechanics Letters, 2024 - Elsevier
We introduce HyperCAN, a machine learning framework that utilizes hypernetworks to
construct adaptable constitutive artificial neural networks for a wide range of beam-based …

Neural networks meet anisotropic hyperelasticity: A framework based on generalized structure tensors and isotropic tensor functions

KA Kalina, J Brummund, WC Sun, M Kästner - arXiv preprint arXiv …, 2024 - arxiv.org
We present a data-driven framework for the multiscale modeling of anisotropic finite strain
elasticity based on physics-augmented neural networks (PANNs). Our approach allows the …

Differentiable Neural-Integrated Meshfree Method for Forward and Inverse Modeling of Finite Strain Hyperelasticity

H Du, B Guo, QZ He - arXiv preprint arXiv:2407.11183, 2024 - arxiv.org
The present study aims to extend the novel physics-informed machine learning approach,
specifically the neural-integrated meshfree (NIM) method, to model finite-strain problems …

Automated model discovery of finite strain elastoplasticity from uniaxial experiments

AA Jadoon, KA Meyer, JN Fuhg - arXiv preprint arXiv:2408.14615, 2024 - arxiv.org
Constitutive modeling lies at the core of mechanics, allowing us to map strains onto stresses
for a material in a given mechanical setting. Historically, researchers relied on …

Direct Data-Driven Algorithms for Multiscale Mechanics

E Prume, C Gierden, M Ortiz, S Reese - Available at SSRN 4882089 - papers.ssrn.com
We propose a randomized data-driven solver for multiscale mechanics problems which
improves accuracy by escaping local minima and reducing dependency on metric …