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 …

Mechanics of material mutations

PM Mariano - Advances in Applied Mechanics, 2014 - Elsevier
Mutations in solids are defined here as dissipative reorganizations of the material texture at
different spatial scales. We discuss possible views on the description of material mutations …

Proof of Straughan's claim on Payne–Song's and modified Guyer–Krumhansl's equations

PM Mariano - Proceedings of the Royal Society A, 2023 - royalsocietypublishing.org
We prove a claim by Brian Straughan who conjectured that Payne–Song's and modified
Guyer–Krumhansl's equations can be justified in (and derived from) the general model …

Topological features in continuum mechanics: from simple to complex bodies

PM Mariano - Proceedings A, 2024 - royalsocietypublishing.org
Topological features have a ubiquitous influence on the behaviour of condensed matter,
from the qualitative analysis of fluids flows to the classification of defects in simple and …

Ground states in complex bodies

PM Mariano, G Modica - ESAIM: Control, Optimisation and Calculus …, 2009 - cambridge.org
A unified framework for analyzing the existence of ground states in wide classes of elastic
complex bodies is presented here. The approach makes use of classical semicontinuity …

Foundational issues, analysis and geometry in continuum mechanics: introduction

PM Mariano… - … Transactions of the …, 2023 - royalsocietypublishing.org
Foundational issues, analysis and geometry in continuum mechanics: introduction |
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering …

Trends and challenges in the mechanics of complex materials: a view

PM Mariano - … Transactions of the Royal Society A …, 2016 - royalsocietypublishing.org
This article introduces the collection of papers in this issue of the Philosophical Transactions
of the Royal Society A and offers a perspective view on the description of the mechanics of …

Geometry of interactions in complex bodies

C de Fabritiis, PM Mariano - Journal of Geometry and Physics, 2005 - Elsevier
We analyze geometrical structures necessary to represent bulk and surface interactions of
standard and substructural nature in complex bodies. Our attention is mainly focused on the …

[PDF][PDF] Configurational forces in continua with microstructure

PM Mariano - Zeitschrift für angewandte Mathematik und Physik …, 2000 - researchgate.net
The action exerted on a defect or inclusion in an elastic solid by the surrounding medium
can be expressed by means of the space-like part of the Noether energy momentum tensor …

Multi-value microstructural descriptors for complex materials: analysis of ground states

M Focardi, PM Mariano, E Spadaro - Archive for Rational Mechanics and …, 2015 - Springer
We propose and analyze a multi-scale and multi-field description of complex materials in
which we consider every material element as a system composed by Q ∈ NQ∈ N indistinct …