Implementation of Interface Friction Finite Elements
Authors
Krejci, Stanislav ; Lillestøl, Eira
Term
4. term
Education
Publication year
2018
Pages
106
Abstract
Specialet undersøger, hvordan man modellerer kontakt mellem forskellige materialer i geoteknik, med fokus på grænsefladen mellem et fundament (footing) og den bærende jord. To typer interfaceelementer behandles: nultykkelses-elementer, som beskriver grænsefladen som en matematisk flade uden tykkelse, og tyndlags-elementer, hvor grænsefladen repræsenteres af et meget tyndt lag. Derudover analyseres Augmented Lagrange-metoden, som hører til familien af metoder til at håndhæve kontaktbetingelser med flere frihedsgrader i numeriske modeller (fx fastklæbning og glidning). Analyserne udføres i kommercielle programmer som MATLAB, Optum G2 og PLAXIS 2D. Specialet omfatter også vurdering af bæreevnen, dvs. hvor stor last fundament–jord-systemet kan overføre, før der opstår brud. Resultaterne valideres ved at sammenholde dem med Chris Martin-løsningen, som bruges som reference.
This thesis investigates how to model contact between dissimilar materials in geotechnical engineering, focusing on the interface between a foundation footing and the supporting soil. It studies two types of interface elements: zero-thickness elements, which represent the interface as a mathematical surface with no thickness, and thin-layer elements, which approximate the interface with a very slender layer. The Augmented Lagrange approach is also analyzed; it belongs to the broader family of multi-degree-of-freedom constraint methods used to enforce contact conditions such as sticking and sliding in numerical models. The analyses are carried out using commercial software packages, including MATLAB, Optum G2, and PLAXIS 2D. The thesis also assesses load-bearing capacity, that is, how much load the footing–soil system can carry before failure. Results are validated against the Chris Martin solution, used here as a benchmark reference.
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