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A Data-Driven Multiscale Theory for Modeling Damage and Fracture of Composite Materials

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Meshfree Methods for Partial Differential Equations IX (IWMMPDE 2017)

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 129))


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.

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Modesar Shakoor and Wing Kam Liu warmly thank the support from National Institute of Standards and Technology and Center for Hierarchical Materials Design (CHiMaD) under grant No. 70NANB13Hl94 and 70NANB14H012. Jiaying Gao and Wing Kam Liu warmly thank the support from DOECF-ICME project under grant No. DE-EE0006867. Zeliang Liu would like to thank Dr. John O. Hallquist of LSTC for his support.

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Correspondence to Wing Kam Liu .

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Shakoor, M., Gao, J., Liu, Z., Liu, W.K. (2019). A Data-Driven Multiscale Theory for Modeling Damage and Fracture of Composite Materials. In: Griebel, M., Schweitzer, M. (eds) Meshfree Methods for Partial Differential Equations IX. IWMMPDE 2017. Lecture Notes in Computational Science and Engineering, vol 129. Springer, Cham.

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