Micro-mechanical modeling of irreversible hygroscopic strain in paper sheets exposed to moisture cycles

Autor: Ron H. J. Peerlings, Thierry Massart, Marc G.D. Geers, P. Samantray
Přispěvatelé: Mechanics of Materials, Group Peerlings, EAISI Foundational
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Résistance et comportement des matériaux
Physique de l'état condense [struct. électronique
etc.]

Materials science
02 engineering and technology
Plasticity
Physique de l'état condense [struct. propr. thermiques
etc.]

Sciences de l'ingénieur
Technologie des autres industries
0203 mechanical engineering
Informatique mathématique
Déformation
rupture matériaux

Homogenisation
Micro-mechanics
General Materials Science
Composite material
Physique de l'état condense [supraconducteur]
Shrinkage
Curl (mathematics)
Waviness
Moisture
Tension (physics)
Applied Mathematics
Mechanical Engineering
Hygro-mechanics
021001 nanoscience & nanotechnology
Condensed Matter Physics
Technologie matières ligneuses
Finite element method
Mathématiques
020303 mechanical engineering & transports
Métallurgie et mines
Mécanique sectorielle
Mechanics of Materials
Modeling and Simulation
Fibrous network
Representative elementary volume
Connaissance des matériaux
0210 nano-technology
Zdroj: International Journal of Solids and Structures, 224:111024. Elsevier
International journal of solids and structures, 224
ISSN: 0020-7683
Popis: Paper is a complex material consisting of a network of cellulose fibres at the micro-level. During manufacturing, the network is dried under restraint conditions due to tension in the paper web in machine direction. This gives rise to internal strains that are stored in the produced sheet. Upon exposure to a moisture cycle, these strains may be released. This results in permanent shrinkage that may cause instabilities such as curl or waviness of the sheet. The prime objective of this paper is to model this irreversible shrinkage and to link its magnitude to the properties of the fibres and of the network. For this purpose, randomly generated fibrous networks of different coverages (i.e. ratio of the area occupied by fibres and that of the sheet) are modeled by means of a periodic representative volume element (RVE). Within such RVEs, a finite element method combined with a kinematic hardening plasticity model at the scale of the fibres is used to capture the irreversible response. The computational results obtained demonstrate that the magnitude of the irreversible strains increases with coverage until a certain coverage and beyond that coverage decreases in magnitude. This phenomenon is explained by considering the area fraction of free-standing fibre segments relative to bonded fibre segments in the network. A structure–property dependency of irreversible strains at the sheet-level on the micro-structural parameters of the network is thereby established.
SCOPUS: ar.j
info:eu-repo/semantics/published
Databáze: OpenAIRE