Building the Future: Data-Infused Constitutive Modeling of Soft Material

A special issue of Polymers (ISSN 2073-4360). This special issue belongs to the section "Polymer Physics and Theory".

Deadline for manuscript submissions: closed (10 March 2021) | Viewed by 5249

Special Issue Editor


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Guest Editor
Department of Civil & Environmental Engineering, Michigan State University, East Lansing, MI 48824, USA
Interests: polymer modeling and simulation; materials

Special Issue Information

Dear Colleagues,

Soft materials such as elastomers, sealants, hydrogels, shape-memory polymers, etc., exhibit strongly nonlinear behavior when subjected to external environmental or mechanical loads. Currently, with an abundance of data in each single experiment, classical modeling approaches have a hard time describing all the data, and in many applications, AI-based approaches have been used for some time due to the inherent complexity of deriving laws and equations to describe correlation between data. This Special Issue aims at exchanging and discussing the current theoretical, experimental, and computational advances in the predictive modeling of soft materials and machines using abundant data.

While recent advances in computational power and machine learning methods offer a novel insight into material modeling, reliable implementation of data-driven predictive models for soft materials remains a challenging task. With recent advances in characterization methods and in situ imaging techniques, extensive data are available on matrix behavior at multiple scales, which should be properly incorporated in the development of constitutive models. Interpretation of such a large database of noisy data has, so far, required a nontrivial solution, which motivates special data collection/handling techniques that are able to interpret/correlate billions of data points to achieve a clear picture of material behavior. Developing models and data processing techniques for incorporation/analysis of large datasets constitute major topics of this Special Issue. Similarly, machine learning, statistical learning, and data-driven approaches to replace or improve current continuum-based constitutive models are considered of equal importance. 

Yours sincerely,

Dr. Roozbeh Dargazany
Guest Editor

Manuscript Submission Information

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Keywords

  • Data-driven modeling 
  • Constitutive models 
  • Phenomenological models 
  • Microstructure data 
  • Data collection 
  • Continuum mechanics 
  • Microstructure data

Published Papers (1 paper)

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Research

20 pages, 931 KiB  
Article
A Physics-Informed Assembly of Feed-Forward Neural Network Engines to Predict Inelasticity in Cross-Linked Polymers
by Aref Ghaderi, Vahid Morovati and Roozbeh Dargazany
Polymers 2020, 12(11), 2628; https://doi.org/10.3390/polym12112628 - 9 Nov 2020
Cited by 41 | Viewed by 4709
Abstract
In solid mechanics, data-driven approaches are widely considered as the new paradigm that can overcome the classic problems of constitutive models such as limiting hypothesis, complexity, and accuracy. However, the implementation of machine-learned approaches in material modeling has been modest due to the [...] Read more.
In solid mechanics, data-driven approaches are widely considered as the new paradigm that can overcome the classic problems of constitutive models such as limiting hypothesis, complexity, and accuracy. However, the implementation of machine-learned approaches in material modeling has been modest due to the high-dimensionality of the data space, the significant size of missing data, and limited convergence. This work proposes a framework to hire concepts from polymer science, statistical physics, and continuum mechanics to provide super-constrained machine-learning techniques of reduced-order to partly overcome the existing difficulties. Using a sequential order-reduction, we have simplified the 3D stress–strain tensor mapping problem into a limited number of super-constrained 1D mapping problems. Next, we introduce an assembly of multiple replicated neural network learning agents (L-agents) to systematically classify those mapping problems into a few categories, each of which were described by a distinct agent type. By capturing all loading modes through a simplified set of dispersed experimental data, the proposed hybrid assembly of L-agents provides a new generation of machine-learned approaches that simply outperform most constitutive laws in training speed, and accuracy even in complicated loading scenarios. Interestingly, the physics-based nature of the proposed model avoids the low interpretability of conventional machine-learned models. Full article
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