A new formulation to model the mechanical behavior of high performance fiber reinforced
cement composites with arbitrarily oriented short fibers is presented.
The formulation can be considered as a two scale approach, in which the macroscopic
model, at the structural level, takes into account the mesostructural phenomenon associated with the fiber-matrix interface bond/slip process. This phenomenon is contemplated by including, in the macroscopic description, a micromorphic field representing the relative fiber-cement displacement. Then, the theoretical framework, from which the governing equations of the problem are derived, can be assimilated to a specific case of the Material Multifield Theory.
The balance equation derived for this model, connecting the micro stresses with the
micromorphic forces, has a physical meaning related with the fiber-matrix bond slip
mechanism. Differently to previous procedures in the literature, addressed to model fiber reinforced composites, where this equation has been added as an additional independent ingredient of the methodology, in the present approach it arises as a natural result derived from the multifield theory.
Every component of the composite is defined with a specific free energy and constitutive
relation. The mixture theory is adopted to define the overall free energy of the composite, which is assumed to be homogeneously constituted, in the sense that every infinitesimal volume is occupied by all the components in a proportion given by the corresponding volume fraction. The numerical model is assessed by means of a selected set of experiments that prove the
viability of the present approach.
CitacióOliver, F. [et al.]. A micromorphic model for steel fiber reinforced concrete. "International journal of solids and structures", 15 Octubre 2012, vol. 49, núm. 21, p. 2990-3007.
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