Closed-form analysis of crack initiation in layered systems under thermal loading

In this work a closed-form analytical model of a two-layer system is analyzed. Therefor a higher-order displacement approach, which takes the singularity order into account is used to approximate the displacements and the strain and stress field within these two linear elastic layers. For three configurations – a patch on a substrate under thermal loading, a Double Cantilever Beam and a Single Lap Joint under mechanical loading – the interlaminar stresses at the interface between both layers are discussed. The configuration of a patch on a substrate under thermal loading is analyzed in more detail. Here, within the framework of Finite Fracture Mechanics also the initiation of a debonding crack is also investigated. All results are compared to a Finite Element Model for validation.

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Publication Details

Journal
Procedia Structural Integrity
Published
2025-01-01
DOI
https://doi.org/10.1016/j.prostr.2025.06.196
Primary Topic
High-Velocity Impact and Material Behavior
Type
article
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article

Closed-form analysis of crack initiation in layered systems under thermal loading

W. Becker, David M. Linn
4 links
Procedia Structural Integrity
High-Velocity Impact and Material Behavior
article

Closed-form analysis of crack initiation in layered systems under thermal loading

W. Becker, David M. Linn
article en

Abstract

In this work a closed-form analytical model of a two-layer system is analyzed. Therefor a higher-order displacement approach, which takes the singularity order into account is used to approximate the displacements and the strain and stress field within these two linear elastic layers. For three configurations – a patch on a substrate under thermal loading, a Double Cantilever Beam and a Single Lap Joint under mechanical loading – the interlaminar stresses at the interface between both layers are discussed. The configuration of a patch on a substrate under thermal loading is analyzed in more detail. Here, within the framework of Finite Fracture Mechanics also the initiation of a debonding crack is also investigated. All results are compared to a Finite Element Model for validation.

Procedia Structural IntegrityVol. 68
Technische Universität Darmstadt (DE)
Climate action
Openalex Percentile: Top 88%
High-Velocity Impact and Material Behavior
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