Mixed variational formulations for micro-cracked continua in the multifield framework
Summary: Within the framework of multifield continua, we move from the model of elastic microcracked body introduced in [\textit{P. M. Mariano} and \textit{F. L. Stazi}, Comput. Methods Appl. Mech. Eng. 190, No. 43--44, 5657--5677 (2001; Zbl 1014.74063)] and propose a few novel variational formulations of mixed type along with relevant mixed FEM discretizations. To this goal, suitably extended Hellinger-Reissner principles of primal and dual type are derived. A few numerical studies are presented that include an investigation on the interaction between a single cohesive macrocrack and diffuse microcracks [\textit{P. M. Mariano} and \textit{F. L. Stazi}, Comput. Methods Appl. Mech. Eng. 193, No. 45--47, 5035--5062 (2004; Zbl 1112.74529)].
scientific article; zbMATH DE number 6920437
scientific article