A unified finite strain gradient-enhanced micropolar continuum approach for modeling quasi-brittle failure of cohesive-frictional materials

Neuner, Matthias; Regueiro, Richard A.; Linder, Christian

doi:10.1016/j.ijsolstr.2022.111841

Title: A unified finite strain gradient-enhanced micropolar continuum approach for modeling quasi-brittle failure of cohesive-frictional materials

Journal Article · 05 July 2022 · International Journal of Solids and Structures

DOI: https://doi.org/10.1016/j.ijsolstr.2022.111841 · OSTI ID:2417950

^[1]; Regueiro, Richard A. ^[2]; Linder, Christian ^[3]

Stanford Univ., CA (United States); OSTI
Univ. of Colorado, Boulder, CO (United States)
Stanford Univ., CA (United States)

Here, in this work, a novel framework for modeling quasi-brittle crack propagation and shear band dominated failure of cohesive-frictional materials like concrete, mortar, rock, tough ceramics, energetic materials, but also granular materials like sands or powders in terms of a unified continuum approach is proposed. It is based on a combination of the gradient-enhanced continuum with gradients of internal variables for representing quasi-brittle cracking, and the micropolar continuum, accounting for the deformation of the microstructure. For developing the gradient-enhanced micropolar framework, the set of balance equations and the kinematic relations are derived, and the constitutive relations are established in a general manner. The framework is formulated in a geometrically exact setting, based on the thermodynamically sound theory of hyperelasto-plasticity, and the numerical implementation by means of the finite element method is discussed. For assessing the approach, realizations of this new approach in terms of constitutive models for particular materials are developed. They are applied to numerical benchmark examples, investigating various loading conditions, and the obtained results are validated by means of a comparison with experiments from the literature.

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Research Organization:: Univ. of Colorado, Boulder, CO (United States); University of Colorado, Boulder, CO (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: NA0003962

OSTI ID:: 2417950

Journal Information:: International Journal of Solids and Structures, Journal Name: International Journal of Solids and Structures Journal Issue: C Vol. 254-255; ISSN 0020-7683

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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36 MATERIALS SCIENCE
Continuum damage
Gradient-enhanced continuum
Mechanics
Micropolar continuum
Plasticity
Quasi-brittle fracture

Title: A unified finite strain gradient-enhanced micropolar continuum approach for modeling quasi-brittle failure of cohesive-frictional materials

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