Fracture modeling using a micro-structural mechanics approach––I. Theory and formulation

Stress–strain relationships used for modeling the mechanical behavior of materials have been traditionally derived following a phenomenological approach, without explicit considerations of the micro-structures of material. Here, we adopt a micro-structural mechanics approach to model the development...

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Bibliographic Details
Published in:Engineering fracture mechanics 2002-11, Vol.69 (17), p.1941-1958
Main Authors: Chang, C.S., Wang, T.K., Sluys, L.J., van Mier, J.G.M.
Format: Article
Language:English
Subjects:
Concrete
Damage mechanics
Fracture
Micro-structural model
Stress–strain relationship
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Summary:Stress–strain relationships used for modeling the mechanical behavior of materials have been traditionally derived following a phenomenological approach, without explicit considerations of the micro-structures of material. Here, we adopt a micro-structural mechanics approach to model the development of fracture in concrete. The continuum is assumed to have an underlying micro-structure of lattice type, which has been demonstrated as a useful description for concrete fracture. A finite element formulation is also described that incorporates the developed stress–strain relationship. In an accompanying paper, we will show the results of finite element analyses, discuss its characteristics with respect to mesh size independency, and evaluate the applicability of this method.
ISSN:0013-7944
1873-7315
DOI:10.1016/S0013-7944(02)00070-X