A continuum model with microstructure for materials with flaws and inclusions

Trovalusci, Patrizia; Augusti, Giuliano

doi:10.1051/jp4:1998847

Cited by 34 publications

(36 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In addition, the kinematics of the lattice micromodel can be enriched by nonaffine mappings between lattice and macroscopic field descriptors deriving higher order continua accounting for long-range interactions [80] or by other additional degrees of freedom. In the latter case, the integral procedure of equivalence presented above led to the identification of multifield continua specifically derived to describe microcracked and fiber-composite materials [26][27][28][29].…”

Section: A Model For Masonry-like Materials Based On Voigt's Approachmentioning

confidence: 99%

“…(26) and (33), (37) corresponds to the so-called virial of the forces for the stress of a particle system under a generic deformation state.…”

Section: Constitutive Relationsmentioning

confidence: 99%

“…Such formulations become significant in problems in which macroscopic length scales are comparable to material internal length scales and the field equations for the classical continuum become ill-posed. In this regard, various homogenization techniques, also addressed to numerical simulations, have also been developed within the framework of micromorphic materials [19][20][21][22][23][24][25] or other multifield materials [26][27][28][29].…”

mentioning

confidence: 99%

See 2 more Smart Citations

Genesis of the multiscale approach for materials with microstructure

2008

View full text Add to dashboard Cite

This paper presents an overview of the origin of multiscale approaches in mechanics. While the pioneer molecular models of linear elastic bodies by Navier, Cauchy and Poisson were contradicted by experiments, the phenomenological energetic approach by Green still seems suitable for simple materials only. Voigt's molecular model, here reinterpreted in the light of contemporary mechanics, reconciled the two approaches providing a conceptual guideline for developing constitutive models based on a direct link between continuum and discrete solid mechanics. Such a theoretical background proves to be especially suitable for new complex materials. An example referred to masonry-like materials is given.

show abstract

Section: A Model For Masonry-like Materials Based On Voigt's Approachmentioning

confidence: 99%

“…(26) and (33), (37) corresponds to the so-called virial of the forces for the stress of a particle system under a generic deformation state.…”

Section: Constitutive Relationsmentioning

confidence: 99%

mentioning

confidence: 99%

See 1 more Smart Citation

Genesis of the multiscale approach for materials with microstructure

2008

View full text Add to dashboard Cite

show abstract

“…This problem has been studied for some particular microstructures-materials with continuous distributions of cracks, composite materials of short-fibre type, masonry materials (Trovalusci and Augusti, 1998;Mariano and Trovalusci, 1999;Masiani, 1999, 2003;Trovalusci, 2003)-in an alternative way with respect to the classical homogenisation procedures. In these works an integral procedure of equivalence to govern the transition between the micro and the macroscale has been proposed.…”

Section: Introductionmentioning

confidence: 99%

A multifield model for blocky materials based on multiscale description

Trovalusci¹,

Masiani²

2005

International Journal of Solids and Structures

View full text Add to dashboard Cite

A multiscale approach to model the mechanical behaviour of blocky materials that exhibit microscale features is proposed. From the description of these materials at microscopic level, as systems of interacting rigid elements, a formula for the stored energy is given in order to derive the macroscopic constitutive equations of a linear elastic equivalent multifield continuum. This continuum results. to be a micropolar continuum suitable to describe the mechanical behaviour of brick/block masonry, as well as jointed rocks or matrix/particle composites, accounting for the size, the orientation and the arrangement of the elements. This multiscale approach proves to be effective also in the non-linear framework. The material non-linear behaviour is represented through internal constraints derived from delimitations imposed to the interactions of the block system. Some numerical examples show the correspondence between discrete and continuum modelling, both in the linear and in the non-linear frame. (c) 2005 Elsevier Ltd. All rights reserved

show abstract

“…To fix ideas, we focus on porous metal-ceramic composites (MCC, CMC) such as tungsten or titanium/molybdenum carbides (WC/Co, TiC/Mo 2 C), alumina/zirconia materials (Al 2 O 3 / ZrO 2 ). The continuum with a just mechanical structure has been proposed in [72,42,79,78] and applied for particle/fiber reinforced polymer/ceramic matrix and masonry. Here we extend the microstructure to the thermomechanical framework, stemming from the ideas exposed in [24], where a simple and paradigmatic example of continua with (micro-)structure is exposed within the beams theory framework.…”

Section: Introductionmentioning

confidence: 99%