Micromechanical approach to effective viscoelastic properties of micro‐fractured geomaterials. (25th July 2018)

• Record Type: Journal Article
• Authors: Aguiar, Cássio B.; Maghous, Samir
• Is Part Of: International journal for numerical and analytical methods in geomechanics. Volume 42:Number 16(2018)
• Page Start: 2018
• Page End: 2046
• Publication Date: 2018-07-25
• Subjects: damage -- micro‐fracture -- micromechanics -- viscoelasticity; Soil mechanics -- Mathematics -- Periodicals; Rock mechanics -- Mathematics -- Periodicals; 624.1510151
• DOI: 10.1002/nag.2847
• Languages: English
• ISSNs: 0363-9061

Abstract

Summary: The aim of this paper is to formulate a micromechanics‐based approach to non‐aging viscoelastic behavior of materials with randomly distributed micro‐fractures. Unlike cracks, fractures are discontinuities that are able to transfer stresses and can therefore be regarded from a mechanical viewpoint as interfaces endowed with a specific behavior under normal and shear loading. Making use of the elastic‐viscoelastic correspondence principle together with a Mori‐Tanka homogenization scheme, the effective viscoelastic behavior is assessed from properties of the material constituents and damage parameters related to density and size of fractures. It is notably shown that the homogenized behavior thus formulated can be described in most cases by means of a generalized Maxwell rheological model. For practical implementation in structural analyses, an approximate model for the isotropic homogenized fractured medium is formulated within the class of Burger models. Although the approximation is basically developed for short‐term and long‐term behaviors, numerical applications indicate that the approximate Burger model accurately reproduce the homogenized viscoelastic behavior also in the transient conditions.