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Theory and Simulation of the Structural and Damage Behaviour of Lightweight Structures Using Peridynamics

Bednarek, Anna-Janina and Willberg, Christian and Rädel, Martin (2016) Theory and Simulation of the Structural and Damage Behaviour of Lightweight Structures Using Peridynamics. Master's. DLR-Interner Bericht. DLR-IB-FA-BS-2016-169, 133 S. (Unpublished)

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Abstract

The simulation of the structural behaviour and particularly damage response is a key instrument for the development of lightweight structures as required in aerospace engineering or wind rotor blade development. The prediction of damage initiation and propagation is a challenging task, even for state-of-the-art numerical procedures, such as the finite element method. The peridynamic theory presents a promising approach for these requirements. It is a non-local theory which takes long-range forces between material points into account. The theory assumes that a material point interacts with all its neighbouring particles within a finite radius. The formulation of its governing equations is based on integral equations, which are valid everywhere - whether a discontinuity such as a crack exists in the material or not. Damage is directly incorporated in the material response. In this thesis, the underlying theory and its numerical implementation are introduced. A multi-level validation of the theory is performed for exemplary problems. Firstly, the peridynamic theory is implemented for one-dimensional examples and compared to the analytical problem solution. Subsequently, a peridynamic code is investigated and further examples including damage are assessed and compared to finite element and extended _nite element method solutions.

Item URL in elib:https://elib.dlr.de/106550/
Document Type:Monograph (DLR-Interner Bericht, Master's)
Title:Theory and Simulation of the Structural and Damage Behaviour of Lightweight Structures Using Peridynamics
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Bednarek, Anna-JaninaTU BraunschweigUNSPECIFIED
Willberg, Christianchristian.willberg (at) dlr.dehttps://orcid.org/0000-0003-2433-9183
Rädel, Martinmartin.raedel (at) dlr.deUNSPECIFIED
Date:August 2016
Refereed publication:No
Open Access:No
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Number of Pages:133
Status:Unpublished
Keywords:Peridynamics, crack propagation, FEM, damage
HGF - Research field:Energy
HGF - Program:Renewable Energies
HGF - Program Themes:other
DLR - Research area:Energy
DLR - Program:E SF - Solar research
DLR - Research theme (Project):E - Wind Energy (old), L - Simulation and Validation
Location: Braunschweig
Institutes and Institutions:Institute of Composite Structures and Adaptive Systems > Structural Mechanics
Deposited By: Böhringer-Thelen, Isolde
Deposited On:03 Nov 2016 11:58
Last Modified:03 Nov 2016 11:58

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