Parametrized reduced order modeling for cracked solids
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Date
2020-10-30
Publication Type
Journal Article
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yes
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Abstract
A parametrized reduced order modeling methodology for cracked two dimensional solids is presented, where the parameters correspond to geometric properties of the crack, such as location and size. The method follows the offline‐online paradigm, where in the offline, training phase, solutions are obtained for a set of parameter values, corresponding to specific crack configurations and a basis for a lower dimensional solution space is created. Then in the online phase, this basis is used to obtain solutions for configurations that do not lie in the training set. The use of the same basis for different crack geometries is rendered possible by defining a reference configuration and employing mesh morphing to map the reference to different target configurations. To enable the application to complex geometries, a mesh morphing technique is introduced, based on inverse distance weighting, which increases computational efficiency and allows for special treatment of boundaries. Applications in linear elastic fracture mechanics are considered, with the extended finite element method being used to represent discontinuous and asymptotic fields.
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published
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Book title
Volume
121 (20)
Pages / Article No.
4537 - 4565
Publisher
Wiley
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Edition / version
Methods
Software
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Date collected
Date created
Subject
ECSW; Fracture; IDW; Mesh morphing; Model order reduction; XFEM
Organisational unit
03890 - Chatzi, Eleni / Chatzi, Eleni
Notes
Funding
795917 - Simulation-Driven and On-line Condition Monitoring with Applications to Aerospace (EC)