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In-plane bi-axial testing of thin paper
KTH, School of Engineering Sciences (SCI), Engineering Mechanics, Vehicle Engineering and Solid Mechanics, Solid Mechanics.
KTH, School of Engineering Sciences (SCI), Engineering Mechanics, Vehicle Engineering and Solid Mechanics, Solid Mechanics.
2022 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesisAlternative title
Biaxiell provning i planet av tunt papper (Swedish)
Abstract [en]

During its lifetime, a beverage package is subjected to a complex loading history where the loading, in general, is multiaxial. Hence, to optimize the performance of the package, knowledge of the material’s anisotropic multi-axial deformation and subsequent failure is necessary. This report presents a way to investigate the anisotropic loading and fracture of thin paper using bi-axial testing and to analyse the bi-axial test using the Finite Element Method.

Getting thin paper to fracture in the central region, where the deformation and loading are bi-axial, proved difficult. To overcome this challenge, a new bi-axial specimen, with a specific sample preparation technique, is proposed and implemented in this specific project. This cruciform-shaped thin paper specimen was reinforced with laminating plastic everywhere but in the central region. This was done to avoid material failure in the notched radius area or the clamps, rather to facilitate a material failure in the central region of the material specimen. In order to simulate the bi-axial test, a Hill elastic-plastic material model was calibrated, and the material parameters were obtained from uniaxial tensile tests.

When subjected to bi-axial loading, the proposed cruciform-shaped specimen fractured systematically and repetitively for the different load cases studied. Moreover, the Hill material model captured the force vs. displacement curve from the experimental results well but overestimated its values. The overestimation was mainly due to sliding during the experimental tests.

Abstract [sv]

Under sin livstid utsätts en kartongförpackning för olika fleraxliga belastningar. Därför är det viktigt att ha bättre förståelse för materialets anisotropa brottbeteende för att kunna optimera förpackningens prestanda. Detta projekt fokuserar på att hitta en metod för att undersöka brott av ett tunt papper under fleraxlig belastning med hjälp av bi-axiella dragprov och därefter simulera det bi-axiella provet med finita element-metoden. 

Det har visat sig vara svårt att få tunt papper gå sönder i de områden av provstavar där spänningstillståndet kan beskrivas som bi-axiellt. Oftast sker brott vid spänningskoncentrationer. För att komma runt denna utmaning föreslås en ny bi-axiell provstav. I denna är provstaven förstärkt med laminerad plast överallt förutom i mitten där det önskvärda spänningstillståndet råder. För att simulera det bi-axiella dragprovet, kalibrerades Hills elastiskt-plastiska materialmodell och materialparametrarna bestämdes med hjälp av enaxlig dragprov. 

Den designade provstaven utsättes för olika bi-axiella laster och brott initierades på rätt ställe i provstaven på ett systematiskt och repeterbart sätt. Kraft-förskjutningskurvan från experimenten kunde beskrivas väl av simuleringarna, men värdet på kraften överskattades. Detta på grund av glidning mellan provstaven och greppet under försöken i den bi-axiella provningsmaskinen.

Place, publisher, year, edition, pages
2022. , p. 37
Series
TRITA-SCI-GRU ; 2022:276
National Category
Applied Mechanics
Identifiers
URN: urn:nbn:se:kth:diva-322061OAI: oai:DiVA.org:kth-322061DiVA, id: diva2:1714291
External cooperation
Tetra Pak
Subject / course
Solid Mechanics
Educational program
Master of Science - Engineering Mechanics
Supervisors
Examiners
Available from: 2022-12-01 Created: 2022-11-29 Last updated: 2022-12-09Bibliographically approved

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