Multiscale modeling of diffuse damage and localized cracking in quasi-brittle materials under compression with a quadratic friction law

Lun Yang Zhao, Lu Ren, Ling Hui Liu, Yuan Ming Lai, Fu Jun Niu, Tao You

Research output: Contribution to journalArticleResearchpeer-review

Abstract

The diffuse damage and localized cracking of quasi-brittle materials (i.e., rocks and concretes) under compression can be delineated by a matrix-microcrack system, wherein a solid matrix phase is weakened by a large number of randomly oriented and distributed microcracks, and the macroscopic cracking is formed by a progressive evolution of microcracks. Several homogenization-based multiscale models have been proposed to describe this matrix-microcrack system, but most of them are based on a linear friction law on the microcrack surface, rendering a linear strength criterion. In this paper, we propose a new quadratic friction law within the local multiscale friction-damage (LMFD) model to capture the plastic distortion due to frictional sliding along the rough microcrack surface. Following that, a macroscopic Ottosen-type nonlinear strength criterion is rationally derived with up-scaling friction-damage coupling analysis. An enhanced semi-implicit return mapping (ESRM) algorithm with a substepping scheme is then developed to integrate the complex nonlinear constitutive model. The performance of LMFD model is evaluated compared to a wide range of experimental data on plain concretes, and the robustness of ESRM algorithm is assessed through a series of numerical tests. Subsequently, to effectively describe the localized cracking process, a regularization scheme is proposed by combining the phase-field model with the established LMFD model, and the discretization independent crack localization is numerically verified.
Original languageEnglish
Article number113038
Number of pages22
JournalInternational journal of solids and structures
Volume304.2024
Issue number1 November
DOIs
Publication statusPublished - 1 Nov 2024

Bibliographical note

Publisher Copyright: © 2024 The Author(s)

Keywords

  • Homogenization-based multiscale modeling
  • Integration algorithm
  • Phase-field model
  • Quadratic friction law
  • Quasi-brittle materials

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