Strain localization criteria for viscoplastic geomaterials

Xue, Dawei; Shahin, Ghassan; Lü, Xilin; Buscarnera, Giuseppe

doi:10.1002/nag.3319

Title: Strain localization criteria for viscoplastic geomaterials

Journal Article · 04 January 2022 · International Journal for Numerical and Analytical Methods in Geomechanics

DOI: https://doi.org/10.1002/nag.3319 · OSTI ID:1976363

Xue, Dawei ^[1]; Shahin, Ghassan ^[2];

^[3];

^[4]

Tongji University, Shanghai (China); Northwestern University, Evanston, IL (United States); OSTI
Northwestern University, Evanston, IL (United States); Johns Hopkins University, Baltimore, MD (United States)
Tongji University, Shanghai (China)
Northwestern University, Evanston, IL (United States)

This report presents a viscoplastic localization criterion to detect quasi-instantaneous (i.e., load-induced) and delayed (creep-induced) strain localization in rate-dependent solids. The study is based on the theory of controllability and a viscoplastic description of the mechanical response. Analytical precursors of unstable states are defined through systems of ordinary differential equations (OEDs). The use of the proposed criteria is illustrated at the material point level through a set of strain localization analyses simulating active strain localization of a porous rock. In addition, full-field finite element simulations of compression tests conducted under various pressures are reported to demonstrate the role of local unstable viscoplasticity in the spontaneous propagation of deformation bands under stationary boundary conditions. The study shows that the viscoplastic localization criterion maintains a negative sign as long as the behavior is unstable, that is, the rate of deformation is accelerating. The sign switch coincides with the transition to decelerating deformation. The analyses revealed that pulses of overstress always emerge in correspondence with the growth of unstable behavior, and the peak matches the transition to stable behavior. The local responses recovered from full-field analyses were consistent with those observed in analyses at material point level and the predictions of the presented theory.

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Research Organization:: Northwestern University, Evanston, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC); China Scholarship Council

Grant/Contract Number:: SC0017615

OSTI ID:: 1976363

Journal Information:: International Journal for Numerical and Analytical Methods in Geomechanics, Journal Name: International Journal for Numerical and Analytical Methods in Geomechanics Journal Issue: 4 Vol. 46; ISSN 0363-9061

Publisher:: WileyCopyright Statement

Country of Publication:: United States

Language:: English

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elasto-viscoplasticity
material stability
strain localization
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