An adaptive quasicontinuum approach for modeling fracture in networked materials: Application to modeling of polymer networks

Ghareeb, Ahmed; Elbanna, Ahmed

doi:10.1016/j.jmps.2019.103819

Title: An adaptive quasicontinuum approach for modeling fracture in networked materials: Application to modeling of polymer networks

Journal Article · 09 December 2019 · Journal of the Mechanics and Physics of Solids

DOI: https://doi.org/10.1016/j.jmps.2019.103819 · OSTI ID:1804055

Ghareeb, Ahmed ^[1]; Elbanna, Ahmed ^[2]

Univ. of Illinois at Urbana-Champaign, IL (United States); OSTI
Univ. of Illinois at Urbana-Champaign, IL (United States)

Materials with network-like microstructure, including polymers, are the backbone for many natural and human-made materials such as gels, biological tissues, metamaterials, and rubbers. Fracture processes in these networked materials are intrinsically multiscale, and it is computationally prohibitive to adopt a fully discrete approach for large scale systems. To overcome such a challenge, we introduce an adaptive numerical algorithm for modeling fracture in this class of materials, with a primary application to polymer networks, using an extended version of the Quasicontinuum method that accounts for both material and geometric nonlinearities. In regions of high interest, for example near crack tips, explicit representation of the local topology is retained where each polymer chain is idealized using the worm like chain model. Away from these imperfections, the degrees of freedom are limited to a fraction of the network nodes and the network structure is computationally homogenized, using the micro-macro energy consistency condition, to yield an anisotropic material tensor consistent with the underlying network structure. Additionally, a nonlinear finite element framework including both material and geometric nonlinearities is used to solve the system where dynamic adaptivity allows transition between the continuum and discrete scales. The method enables accurate modelling of crack propagation without a priori constraint on the fracture energy while maintaining the influence of large-scale elastic loading in the bulk. We demonstrate the accuracy and efficiency of the method by applying it to study the fracture in different examples of network structures. We further use the method to investigate the effects of network topology and disorder on its fracture characteristics. We discuss the implications of our method for multiscale analysis of fracture in networked material as they arise in different applications in biology and engineering.

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Research Organization:: Univ. of Illinois at Urbana-Champaign, IL (United States)

Sponsoring Organization:: National Science Foundation (NSF); USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0012504

OSTI ID:: 1804055

Journal Information:: Journal of the Mechanics and Physics of Solids, Journal Name: Journal of the Mechanics and Physics of Solids Journal Issue: C Vol. 137; ISSN 0022-5096

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Title: An adaptive quasicontinuum approach for modeling fracture in networked materials: Application to modeling of polymer networks

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