journal article·2018-11

Discontinuous failure in micropolar elastic-degrading models

Lapo Gori, Samuel S Penna, Roque L da Silva Pitangueira

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Abstract

The present paper investigates the phenomenon of discontinuous failure (or localization) in elastic-degrading micropolar media. A recently proposed unified formulation for elastic degradation in micropolar media, defined in terms of secant tensors, loading functions and degradation rules, is used as a starting point for the localization analysis. Well-known concepts on acceleration waves propagation, such as the Maxwell compatibility condition and the Fresnel–Hadamard propagation condition, are derived for the considered material model in order to obtain a proper failure indicator. Peculiar problems are investigated analytically in details, in order to evaluate the effects on the onset of localization of two of the additional material parameters of the micropolar continuum, the Cosserat’s shear modulus and the internal bending length. Numerical simulations with a finite element model are also presented, in order to show the regularization behaviour of the micropolar formulation on the pathological effects due to the localization phenomenon.
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Research context

OpenAlex topics: Numerical methods in engineering · Nonlocal and gradient elasticity in micro/nano structures · Composite Material Mechanics

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Department of Structural Engineering, Engineering School, Federal University of Minas Gerais (UFMG), Belo Horizonte, Brazil

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