Mesh objective stochastic simulations of quasibrittle fracture

Gorgogianni, Anna; Eliáš, Jan; Le, Jia-Liang

doi:10.1016/j.jmps.2021.104745

Mesh objective stochastic simulations of quasibrittle fracture

Journal Article · Mon Jan 03 23:00:00 EST 2022 · Journal of the Mechanics and Physics of Solids

DOI:https://doi.org/10.1016/j.jmps.2021.104745· OSTI ID:1977341

Gorgogianni, Anna ^[1]; ^[2]; ^[3]

University of Minnesota, Minneapolis, MN (United States); OSTI
Brno University of Technology (Czech Republic)
University of Minnesota, Minneapolis, MN (United States)

Continuum finite element (FE) modeling of damage and failure of quasibrittle structures suffers from the spurious mesh sensitivity due to strain localization. Here this issue has been addressed for deterministic analysis through the development of localization limiters. Here this study proposes a mechanism-based model to mitigate the mesh sensitivity in stochastic FE simulations of quasibrittle fracture. The interest is placed on the analysis of large-size structures, where the mesh size is conveniently chosen to be larger than the width of the fracture process zone as well as the correlation length of the random fields of constitutive properties. The present model is formulated within the framework of continuum damage mechanics. Two localization parameters are introduced to describe the evolution of the damage pattern of each finite element. These parameters are used to guide the energy regularization of the constitutive law, as well as to formulate the mesh-dependent probability distributions of constitutive properties. Depending on the prevailing damage pattern, different energy regularization schemes and mesh dependence of the probability distribution functions are used in the constitutive law. The model is applied to simulate the stochastic failure behavior of quasibrittle structures of different geometries featuring different failure processes including damage initiation, localization, and propagation. It is shown that using fixed probability distribution functions of constitutive properties could lead to strong mesh dependence of the prediction of the mean and variance of the structural load capacity. The probability distribution functions of constitutive properties must be linked to the damage pattern, which may evolve during the failure process. Such a mechanism-based modeling of the probability distributions of constitutive properties is essential for mitigating the spurious mesh sensitivity in stochastic FE analysis of quasibrittle fracture.

View Accepted Manuscript (DOE)

Research Organization:: University of Minnesota, Minneapolis, MN (United States)

Sponsoring Organization:: USDOE Office of Nuclear Energy (NE), Nuclear Energy University Program (NEUP); Czech Science Foundation

Grant/Contract Number:: NE0008785

OSTI ID:: 1977341

Alternate ID(s):: OSTI ID: 1839307

Journal Information:: Journal of the Mechanics and Physics of Solids, Journal Name: Journal of the Mechanics and Physics of Solids Journal Issue: C Vol. 159; ISSN 0022-5096

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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