Mixed Variational Formulations for Micro-cracked Continua in the Multifield Framework
Copyright policy )Mixed Variational Formulations for Micro-cracked Continua in the Multifield Framework
Within the framework of multifield continua, we move from the model of elastic microcracked body introduced in (Mariano, P.M. and Stazi, F.L., Strain localization in elastic microcracked bodies, Comp. Methods Appl. Mech. Engrg. 2001, 190, 5657–5677) 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 (Mariano, P.M. and Stazi, F.L., Strain localization due to crack–microcrack interactions: X–FEM for a multifield approach, Comp. Methods Appl. Mech. Engrg. 2004, 193, 5035–5062).
- University of Pavia Italy
- Polytechnic University of Milan Italy
Industrial engineering. Management engineering, Anelastic fracture and damage, Micromechanics of solids, Computational Theory and Mathematics; Computational Mathematics; Numerical Analysis; Theoretical Computer Science, mixed FEM, QA75.5-76.95, T55.4-60.8, localization, Numerical and other methods in solid mechanics, fracture, Electronic computers. Computer science, multifield theory, Multifield theory
Industrial engineering. Management engineering, Anelastic fracture and damage, Micromechanics of solids, Computational Theory and Mathematics; Computational Mathematics; Numerical Analysis; Theoretical Computer Science, mixed FEM, QA75.5-76.95, T55.4-60.8, localization, Numerical and other methods in solid mechanics, fracture, Electronic computers. Computer science, multifield theory, Multifield theory
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