A review on data-driven constitutive laws for solids

JN Fuhg, G Anantha Padmanabha, N Bouklas… - … Methods in Engineering, 2024 - Springer
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 …

Multiscale modeling of materials: Computing, data science, uncertainty and goal-oriented optimization

N Kovachki, B Liu, X Sun, H Zhou, K Bhattacharya… - Mechanics of …, 2022 - Elsevier
The recent decades have seen various attempts at accelerating the process of developing
materials targeted towards specific applications. The performance required for a particular …

On the potential of recurrent neural networks for modeling path dependent plasticity

MB Gorji, M Mozaffar, JN Heidenreich, J Cao… - Journal of the Mechanics …, 2020 - Elsevier
The mathematical description of elastoplasticity is a highly complex problem due to the
possible change from elastic to elasto-plastic behavior (and vice-versa) as a function of the …

Modeling structure-property relationships with convolutional neural networks: Yield surface prediction based on microstructure images

JN Heidenreich, MB Gorji, D Mohr - International Journal of Plasticity, 2023 - Elsevier
The use of micromechanics in conjunction with homogenization theory allows for the
prediction of the effective mechanical properties of materials based on microstructural …

[HTML][HTML] From CP-FFT to CP-RNN: Recurrent neural network surrogate model of crystal plasticity

C Bonatti, B Berisha, D Mohr - International Journal of Plasticity, 2022 - Elsevier
Abstract Recurrent Neural Network (RNN) based surrogate models constitute an emerging
class of reduced order models of history-dependent material behavior. Recently, the authors …

[HTML][HTML] Deep active learning for constitutive modelling of granular materials: From representative volume elements to implicit finite element modelling

T Qu, S Guan, YT Feng, G Ma, W Zhou… - International Journal of …, 2023 - Elsevier
Constitutive relation remains one of the most important, yet fundamental challenges in the
study of granular materials. Instead of using closed-form phenomenological models or …

[HTML][HTML] On the importance of self-consistency in recurrent neural network models representing elasto-plastic solids

C Bonatti, D Mohr - Journal of the Mechanics and Physics of Solids, 2022 - Elsevier
Recurrent neural networks could serve as surrogate material models, removing the gap
between component-level finite element simulations and numerically costly microscale …

Using neural networks to represent von Mises plasticity with isotropic hardening

A Zhang, D Mohr - International Journal of Plasticity, 2020 - Elsevier
Neural networks are universal function approximators that form the backbone of most
modern machine learning based models. Starting from a conventional return-mapping …

[HTML][HTML] Plasticity and fracture of cast and SLM AlSi10Mg: High-throughput testing and modeling

CC Roth, T Tancogne-Dejean, D Mohr - Additive Manufacturing, 2021 - Elsevier
Both additively-manufactured and cast metals are known to exhibit stochastic mechanical
properties at the macroscopic level. Using a robot-assisted mechanical testing system, more …

[HTML][HTML] Counterexample-trained neural network model of rate and temperature dependent hardening with dynamic strain aging

X Li, CC Roth, C Bonatti, D Mohr - International Journal of Plasticity, 2022 - Elsevier
Constitutive models dealing with the thermal and visco-plasticity of metals have seen wide
applications in the automotive industry. A basic plasticity and fracture characterization of a …