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Effect of Discretization and Stochastic Material Distribution on Crack Initiation in Peridynamics

Rädel, Martin and Willberg, Christian and Schmidt, Jochen (2017) Effect of Discretization and Stochastic Material Distribution on Crack Initiation in Peridynamics. USNCCM 14, 17.-20. Jul. 2017, Montreal, Canada. (Unpublished)

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Abstract

The simulation of the structural behavior 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 in main structural elements as well as their adhesive bonds is a challenging task, even for state-of-the-art numerical procedures, such as the finite element method (FEM). The peridynamic theory presents a promising approach for these require- ments. 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 neighboring particles within a finite radius. The formulation of its go- verning equations is based on integral equations, which are valid everywhere - in a non-disturbed material region as well as in the vicinity or directly at a discontinuity such as a crack. Damage is directly incorporated in the material response. Additionally, the mesh-free peridynamic implementation in the open-source code Peridigm promises to overcome the mesh dependency problems currently present in FEM or extended FEM (XFEM) methods. In the current publication, the effect of a varying discretization and the stochastic distribution of material properties is investigated and compared to other fracture mechanical methods based on a tensile test on an epoxy specimen. It is examined if a more realistic representation of the stiffness distribution can lead to improved results regarding crack initiation and pro- pagation compared to the standard models. These normally assume perfect symmetry. The applied framework and the underlying theory and its numerical implementation are introduced.

Item URL in elib:https://elib.dlr.de/113593/
Document Type:Conference or Workshop Item (Speech)
Title:Effect of Discretization and Stochastic Material Distribution on Crack Initiation in Peridynamics
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Rädel, Martinmartin.raedel (at) dlr.deUNSPECIFIED
Willberg, ChristianChristian.Willberg (at) dlr.dehttps://orcid.org/0000-0003-2433-9183
Schmidt, Jochenjochen.schmidt (at) dlr.deUNSPECIFIED
Date:17 July 2017
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Status:Unpublished
Keywords:Peridynamics, Failure, Damage, Fibre-reinforced plastics
Event Title:USNCCM 14
Event Location:Montreal, Canada
Event Type:international Conference
Event Dates:17.-20. Jul. 2017
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:fixed-wing aircraft
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Simulation and Validation, L - Structures and Materials
Location: Braunschweig
Institutes and Institutions:Institute of Composite Structures and Adaptive Systems > Structural Mechanics
Deposited By: Rädel, Martin
Deposited On:14 Aug 2017 09:25
Last Modified:31 Jul 2019 20:11

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