A data-driven multiscale theory for modeling damage and fracture of composite materials

Modesar Shakoor, Jiaying Gao, Zeliang Liu, Wing K Liu*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The advent of advanced processing and manufacturing techniques has led to new material classes with complex microstructures across scales from nanometers to meters. In this paper, a data-driven computational framework for the analysis of these complex material systems is presented. A mechanistic concurrent multiscale method called Self-consistent Clustering Analysis (SCA) is developed for general inelastic heterogeneous material systems. The efficiency of SCA is achieved via data compression algorithms which group local microstructures into clusters during the training stage, thereby reducing required computational expense. Its accuracy is guaranteed by introducing a self-consistent method for solving the Lippmann–Schwinger integral equation in the prediction stage. The proposed framework is illustrated for a composite cutting process where fracture can be analyzed simultaneously at the microstructure and part scales.

Original languageEnglish (US)
Title of host publicationMeshfree Methods for Partial Differential Equations IX, 2017
EditorsMichael Griebel, Marc Alexander Schweitzer, Michael Griebel, Marc Alexander Schweitzer
PublisherSpringer Verlag
Pages135-148
Number of pages14
ISBN (Print)9783030151188
DOIs
StatePublished - Jan 1 2019
Event9th International Workshop on Meshfree Methods for Partial Differential Equations, IWMMPDE 2017 - Bonn, Germany
Duration: Sep 18 2017Sep 20 2017

Publication series

NameLecture Notes in Computational Science and Engineering
Volume129
ISSN (Print)1439-7358

Conference

Conference9th International Workshop on Meshfree Methods for Partial Differential Equations, IWMMPDE 2017
CountryGermany
CityBonn
Period9/18/179/20/17

Fingerprint

Composite Materials
Data-driven
Microstructure
Clustering Analysis
Damage
Composite materials
Modeling
Heterogeneous Materials
Multiscale Methods
Data compression
Data Compression
Integral equations
Concurrent
Integral Equations
Manufacturing
Composite
Prediction
Processing
Framework

ASJC Scopus subject areas

  • Modeling and Simulation
  • Engineering(all)
  • Discrete Mathematics and Combinatorics
  • Control and Optimization
  • Computational Mathematics

Cite this

Shakoor, M., Gao, J., Liu, Z., & Liu, W. K. (2019). A data-driven multiscale theory for modeling damage and fracture of composite materials. In M. Griebel, M. A. Schweitzer, M. Griebel, & M. A. Schweitzer (Eds.), Meshfree Methods for Partial Differential Equations IX, 2017 (pp. 135-148). (Lecture Notes in Computational Science and Engineering; Vol. 129). Springer Verlag. https://doi.org/10.1007/978-3-030-15119-5_8
Shakoor, Modesar ; Gao, Jiaying ; Liu, Zeliang ; Liu, Wing K. / A data-driven multiscale theory for modeling damage and fracture of composite materials. Meshfree Methods for Partial Differential Equations IX, 2017. editor / Michael Griebel ; Marc Alexander Schweitzer ; Michael Griebel ; Marc Alexander Schweitzer. Springer Verlag, 2019. pp. 135-148 (Lecture Notes in Computational Science and Engineering).
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Shakoor, M, Gao, J, Liu, Z & Liu, WK 2019, A data-driven multiscale theory for modeling damage and fracture of composite materials. in M Griebel, MA Schweitzer, M Griebel & MA Schweitzer (eds), Meshfree Methods for Partial Differential Equations IX, 2017. Lecture Notes in Computational Science and Engineering, vol. 129, Springer Verlag, pp. 135-148, 9th International Workshop on Meshfree Methods for Partial Differential Equations, IWMMPDE 2017, Bonn, Germany, 9/18/17. https://doi.org/10.1007/978-3-030-15119-5_8

A data-driven multiscale theory for modeling damage and fracture of composite materials. / Shakoor, Modesar; Gao, Jiaying; Liu, Zeliang; Liu, Wing K.

Meshfree Methods for Partial Differential Equations IX, 2017. ed. / Michael Griebel; Marc Alexander Schweitzer; Michael Griebel; Marc Alexander Schweitzer. Springer Verlag, 2019. p. 135-148 (Lecture Notes in Computational Science and Engineering; Vol. 129).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Shakoor M, Gao J, Liu Z, Liu WK. A data-driven multiscale theory for modeling damage and fracture of composite materials. In Griebel M, Schweitzer MA, Griebel M, Schweitzer MA, editors, Meshfree Methods for Partial Differential Equations IX, 2017. Springer Verlag. 2019. p. 135-148. (Lecture Notes in Computational Science and Engineering). https://doi.org/10.1007/978-3-030-15119-5_8