Acceleration waves in thermoelastic complex media with temperature-dependent phase fields

P Giovine, PM Mariano, F Mugnaioni - Meccanica, 2024 - Springer
We analyze homothermal acceleration waves in complex materials (those with active
microstructure) in the presence of internal constraints that link the temperature to a manifold …

[HTML][HTML] Entropy Analysis of Implicit Heat Fluxes in Multi-Temperature Mixtures

AD Kirwan Jr, M Massoudi - Entropy, 2024 - mdpi.com
We propose new implicit constitutive relations for the heat fluxes of a two-temperature
mixture of fluids. These relations are frame-indifferent forms. However, classical explicit …

Continua with partially constrained microstructure

P Giovine - Continuum Mechanics and Thermodynamics, 2022 - Springer
The mechanical balance equations for a body with microstructure are derived from an
expansion of the general Noll's axiom of frame-indifference that takes into account the …

[HTML][HTML] Flows of suspended grains: mixing a sparse phase with simple and complex continua

PM Mariano - International Journal of Solids and Structures, 2020 - Elsevier
We propose a multi-scale view on the motion of grains inside a continuum body undergoing
strain. We consider the whole compound as a mixture and attribute to every material point …

Notes on constitutive relations for porous solids

P Giovine - Views on microstructures in granular materials, 2020 - Springer
The thermo-mechanical balance and constitutive equations for a porous material with large
irregular pores are investigated by imposing internal kinematic and thermal constraints on …

Homogenization of Complex Lattices for Metamaterials: Open Problems and Conjectures

PM Mariano - Crystals, 2022 - mdpi.com
Based on concrete examples dealing with one-level periodic and quasi-periodic, and two-
level periodic lattices, we show that the homogenization of complex lattices generically …