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 …

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 …

Extreme sparsification of physics-augmented neural networks for interpretable model discovery in mechanics

JN Fuhg, RE Jones, N Bouklas - Computer Methods in Applied Mechanics …, 2024 - Elsevier
Data-driven constitutive modeling with neural networks has received increased interest in
recent years due to its ability to easily incorporate physical and mechanistic constraints and …

Discovering the mechanics of artificial and real meat

SRS Pierre, D Rajasekharan, EC Darwin… - Computer Methods in …, 2023 - Elsevier
Artificial meat is an eco-friendly alternative to real meat that is marketed to have a similar
taste and feel. The mechanical properties of artificial meat significantly influence our …

[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 …

Hypo-elasticity, Cauchy-elasticity, corotational stability and monotonicity in the logarithmic strain

P Neff, S Holthausen, MV d'Agostino… - arXiv preprint arXiv …, 2024 - arxiv.org
We combine the rate-formulation for the objective, corotational Zaremba-Jaumann
rate\begin {align}\frac {{\rm D}^{\rm ZJ}}{{\rm D} t}[\sigma]=\mathbb {H}^{\rm ZJ}(\sigma) …

Experimental learning of a hyperelastic behavior with a physics-augmented neural network

C Jailin, A Benady, R Legroux, E Baranger - Experimental Mechanics, 2024 - Springer
Background: The recent development of Physics-Augmented Neural Networks (PANN)
opens new opportunities for modeling material behaviors. These approaches have …

[HTML][HTML] The language of hyperelastic materials

G Kissas, S Mishra, E Chatzi, L De Lorenzis - Computer Methods in Applied …, 2024 - Elsevier
The automated discovery of constitutive laws forms an emerging research area, that focuses
on automatically obtaining symbolic expressions describing the constitutive behavior of solid …

A tube-based constitutive model of brain tissue with inner pressure

W Liu, Z Yu, KI Elkhodary, H Xiao, S Tang, T Guo… - Journal of the …, 2024 - Elsevier
Many blood vessels exist in brain tissue. Their internal blood pressure plays a crucial role in
physiological disorders, such as brain edema, stroke, or traumatic brain injury (concussion) …

Optimization of constitutive law for objective numerical modeling of knitted fabric

A Tomaszewska, D Reznikov - Journal of the Mechanics and Physics of …, 2024 - Elsevier
This paper discusses the problem of macroscopic modeling a knitted technical fabric with
the aim to determine a constitutive law for adequately modeling the material response under …