Equivalent strain measures for micromorphic continuum damage models
Palavras-chave:
Micromorphic continuum, Continuum damage models, Elastic-degradation, Equivalent strain measuresResumo
Various applications of the micromorphic continuum theory have been proposed in the past mainly
due to its regularization properties in strain localization problems as a consequence of its non-local character. The
micromorphic theory is particularly suited for the analysis of quasi-brittle materials as the microstructural behavior
is incorporated in its formulation through the consideration of additional degrees of freedom related to the material
particle. In order to allow the application of the micromorphic theory associated to damage models, extending its
regularization properties to different constitutive models, this work presents a generalization of classical scalar-
isotropic damage models for the micromorphic theory implemented in a constitutive models framework for elastic
degrading media. To guarantee conformity to a classical implementation, a compact tensorial formulation is used,
allowing the application for the micromorphic theory of theoretical and numerical resources already defined for
the classical theory. A homogenization strategy is also employed to obtain the micromorphic constitutive relations
through the consideration of a Cauchy continuum in the micro-scale, what makes possible non-linear analysis of
micromorphic media with only the definition of the material parameters of a classical continuum.
