An Eshelbian approach to the nonlinear mechanics of constrained solid-fluid mixtures

Abstract

Looking at rational mixture theories within the context of a new perspective, this work aims to put forward a proposal for an Eshelbian approach to the nonlinear mechanics of a constrained solid-fluid mixture, made up of an inhomogeneous poroelastic solid and an inviscid compressible fluid, which do not undergo any chemical reaction

A damage constitutive model for sliding friction coupled to wear

“…It should be remarked that, in the present treatment, the constrained kinematical descriptors, relative to compressibility of the interface, and related Lagrange multipliers are not included. A more detailed description of abrasion phenomena would require the introduction of these extra descriptors (as done, e.g., in [50]). …”

Piezo-electromechanical smart materials with distributed arrays of piezoelectric transducers: Current and upcoming applications

“…tissues which have to be considered as composite materials. For instance, there exist tissues having an internal structure in which a porous matrix filled with an interstitial fluid may be observed (see the results presented in [180,132,133,60,167] for the flow modeling of an eventually compressible fluid in deformable porous media). This structure is also reinforced by impermeable collagen fibers: the phenomena related to interstitial fluid flow in articular cartilage motivates the modeling of such a system.…”

“…[167,179]) possibly partially saturated (see e.g. [131]) with compressible fluids because of deformation induced (conceivably) viscous flow.…”

A simple non-linear model for internal friction in modified concrete

“…Actually, internal friction is a phenomenon which plays a relevant role in different contexts: for instance in the flow in porous media (see e.g. [50,46,69,51,97,106,123,122,133,134] and references there cited) where internal friction competes with Darcy or Brinkman dissipation or in growing tissues (as described using micro-structured continuum models see e.g. [67,68,87,96,95]) where internal friction seem to play a non-negligible role in those mechanosensing phenomena controlling tissue synthesis.…”