An integrated computational methodology for coupling in-crack physics with the adjacent environment

With an application on Solid-State Batteries

Master Thesis (2024)
Author(s)

T.M. Raue (TU Delft - Aerospace Engineering)

Contributor(s)

Bianca Giovanardi – Mentor (TU Delft - Group Giovanardi)

S.R. Turteltaub – Graduation committee member (TU Delft - Group Turteltaub)

Marc Gerritsma – Graduation committee member (TU Delft - Aerodynamics)

Faculty
Aerospace Engineering
More Info
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Publication Year
2024
Language
English
Graduation Date
28-05-2024
Awarding Institution
Delft University of Technology
Programme
Aerospace Engineering
Faculty
Aerospace Engineering
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Abstract

This thesis introduces a new computational methodology to solve partial differential equations within cracked domains, focusing on coupling in-crack physics with the adjacent environment. The crack is represented discretely, allowing to describe explicitly the crack opening, which is a key parameter in the description of the in-crack physics. The governing equations are projected onto the tangential direction of the crack to obtain a hybrid formulation of the weak form. Because the fracture is reduced to a lower dimensional domain, this methodology leads to a discontinuity in the primal solution field. Therefore, a discontinuous Galerkin approach is employed in discretizing the equations, yielding results that align well with the analytical model across various configurations and increasing the model’s possibilities. The results obtained for the electric governing equations show potential for developing a model incorporating mechanical and chemical aspects, enabling a fully coupled model for dendrite propagation in solid-state batteries.

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