Multifield theories in mechanics of solids

PM Mariano - Advances in Applied Mechanics, 2002 - Elsevier
Publisher Summary Multifield theories indicate the wide range of models in which some
graphic fields must be introduced to describe the influence of material substructures on the …

Constitutive relations for elastic microcracked bodies: from a lattice model to a multifield continuum description

PM Mariano, P Trovalusci - International Journal of Damage …, 1999 - journals.sagepub.com
A continuum model suitable for the description of microcracked bodies is shown. The
influence of microcracks on the mechanical behavior of the body is estimated through a …

The geometry of Cauchy's fluxes

R Segev - Archive for Rational Mechanics and Analysis, 2000 - Springer
A formulation of the Cauchy theory for balance laws of scalar valued quantities is considered
from a general geometric point of view. It is assumed only that the ambient space is an …

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 …

Multifield description of microcracked continua: a local model

PM Mariano, G Augusti - Mathematics and Mechanics of …, 1998 - journals.sagepub.com
In the present paper, a continuum model used to describe brittle microcracked bodies is
proposed. The configuration of the body is represented by two fields: the displacement field …

Some remarks on the variational description of microcracked bodies

PM Mariano - International journal of non-linear mechanics, 1999 - Elsevier
The natural minimum energy problem of the statics of a body with free discontinuities, given
by a microcrack system, is replaced by a more rough two-field minimum problem on a …

[HTML][HTML] Internal constraints in the theories of immiscible mixtures for soils

P Giovine - International Journal of Solids and Structures, 2020 - Elsevier
In this paper we formulate balance principles for an immiscible mixture of continua with
microstructure in the broadest sense to include, eg, diffusion and adsorption phenomena …

An extended continuum theory for granular media

P Giovine - Mathematical models of granular matter, 2008 - Springer
In a dilatant granular material with rotating grains the kinetic energy in addition to the usual
translational one consists of three terms owing to the microstructural motion; in particular, it …

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 …

[HTML][HTML] On wave propagation in porous media with strain gradient effects

P Giovine, L Margheriti, MP Speciale - Computers & Mathematics with …, 2008 - Elsevier
A porous material with large irregular holes is here studied as a hyperelastic continuum with
latent microstructure, and the mechanical balance equations are derived from the general …