A micro-structural model for dissipation phenomena in the concrete

Abstract

Summary In the present paper, a constitutive model for the description of the dissipation in the concrete is provided. The theoretical description is based on a micromorphic model in which the microstructure is constituted by a kinematical scalar descriptor φ whose time derivative is linked to a dissipative potential. The scalar φ can be interpreted as the relative displacement between two opposite faces of the microcracks, and our physical interpretation of dissipation is indeed linked to the friction force (in a mixed Coulomb‐type and viscous‐type behavior) between them. To evaluate the effects of bending on the dissipation, the 3D model is then reduced by means of standard Saint‐Venant's procedure in case of combined compression and bending over a cylindrical domain. A qualitative analysis of the reduced ODEs model is then provided. Numerical results showing comparison between different types of dissipative force and between pure compression and combined compression and bending are included in a dedicated section. Finally, the proposed model and our physical interpretation of the dissipation are supported by some experimental data concerning standard concrete and a concrete enriched by adding to the mixture a filler constituted by micro‐particles capable of improving the dissipative behavior of the material. Measured data show very good fit with our theoretical previsions and provide a sufficiently sound basis for further deepening of the theoretical description of the considered phenomena. Copyright © 2015 John Wiley & Sons, Ltd.

Designing a light fabric metamaterial being highly macroscopically tough under directional extension: first experimental evidence

“…Another consideration is needed here: In the present work, we do not try to derive the used continuum model by means of a homogenization procedure. Of course this micro-macro procedure is needed, and following the ideas presented, for example, in [2,3,77], in [6][7][8]18,28,62,71,72] in [10] or in [48][49][50] will be the object of further investigations (see also [63] for a general overview on generalized continua).…”

A comparison between different approaches for modelling media with viscoelastic properties via optimization analyses

“…) Considering other kinds of concrete with additional properties (see e.g. the concrete with enhanced dissipation properties studied in ) Considering more general dependency of the energy on the kinematic descriptors, i.e. higher gradient models (see e.g.…”

Finite element modeling of finite deformable, biphasic biological tissues with transversely isotropic statistically distributed fibers: toward a practical solution

“…(23) to predict the solution range for practical problems. It is in our future plans to explore the development of models of articular cartilage, and of fiber-reinforced soft tissues in general, considered within the broader context of mixture theory (e.g., [48,49]), micromorphic materials (e.g., [50,51]), for which finite element implementations are available (e.g., [52–54]), and higher-gradient materials (e.g., [55–57]). Moreover, it would be interesting to adapt the practical solution method presented in this work to the cases of remodeling and growth [58,59].…”