Deep learning in computational mechanics: a review

L Herrmann, S Kollmannsberger - Computational Mechanics, 2024 - Springer
The rapid growth of deep learning research, including within the field of computational
mechanics, has resulted in an extensive and diverse body of literature. To help researchers …

DA-VEGAN: Differentiably Augmenting VAE-GAN for microstructure reconstruction from extremely small data sets

Y Zhang, P Seibert, A Otto, A Raßloff, M Ambati… - Computational Materials …, 2024 - Elsevier
Microstructure reconstruction is an important and emerging field of research and an
essential foundation to improving inverse computational materials engineering (ICME) …

Local–global decompositions for conditional microstructure generation

AE Robertson, C Kelly, M Buzzy, SR Kalidindi - Acta Materialia, 2023 - Elsevier
Conditional microstructure generation tools offer an important, inexpensive pathway to
constructing statistically diverse datasets for Integrated Computational Materials …

Reconstructing microstructures from statistical descriptors using neural cellular automata

P Seibert, A Raßloff, Y Zhang, K Kalina, P Reck… - Integrating Materials and …, 2024 - Springer
The problem of generating microstructures of complex materials in silico has been
approached from various directions including simulation, Markov, deep learning and …

Multi-plane denoising diffusion-based dimensionality expansion for 2D-to-3D reconstruction of microstructures with harmonized sampling

KH Lee, GJ Yun - npj Computational Materials, 2024 - nature.com
Acquiring reliable microstructure datasets is a pivotal step toward the systematic design of
materials with the aid of integrated computational materials engineering (ICME) approaches …

Inverse stochastic microstructure design

AP Generale, AE Robertson, C Kelly, SR Kalidindi - Acta Materialia, 2024 - Elsevier
Abstract Inverse Microstructure Design problems are ubiquitous in materials science; for
example, property-driven microstructure design requires the inversion of a structure …

[HTML][HTML] Predictive microstructure image generation using denoising diffusion probabilistic models

E Azqadan, H Jahed, A Arami - Acta Materialia, 2023 - Elsevier
The rapid progress in artificial intelligence (AI) based image generation led to
groundbreaking achievements, like OpenAI's DALL-E 2, showcasing state-of-the-art …

Fast reconstruction of microstructures with ellipsoidal inclusions using analytical descriptors

P Seibert, M Husert, MP Wollner, KA Kalina… - Computer-Aided …, 2024 - Elsevier
Microstructure reconstruction is an important and emerging aspect of computational
materials engineering and multiscale modeling and simulation. Despite extensive research …

Symmetric unisolvent equations for linear elasticity purely in stresses

A Sky, A Zilian - International Journal of Solids and Structures, 2024 - Elsevier
In this work we introduce novel stress-only formulations of linear elasticity with special
attention to their approximate solution using weighted residual methods. We present four …

Statistically conditioned polycrystal generation using denoising diffusion models

MO Buzzy, AE Robertson, SR Kalidindi - Acta Materialia, 2024 - Elsevier
Synthetic microstructure generation algorithms have emerged as a key tool for enabling
large ICME and Materials Informatics efforts. In particular, statistically conditioned generative …