Giner Maravilla, E.; Bognet, B.; Ródenas García, JJ.; Leygue, A.; Fuenmayor Fernández, FJ.; Chinesta Soria, FJ. (2013). The Proper Generalized Decomposition (PGD) as a numerical procedure to solve 3D cracked plates in linear elastic fracture mechanics. International Journal of Solids and Structures. 50(10):1710-1720. doi:10.1016/j.ijsolstr.2013.01.039
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/60689
Title:
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The Proper Generalized Decomposition (PGD) as a numerical procedure to solve 3D cracked plates in linear elastic fracture mechanics
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Author:
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Giner Maravilla, Eugenio
Bognet, Brice
Ródenas, J.J.
Leygue, Adrien
Fuenmayor Fernández, Francisco Javier
Chinesta Soria, Francisco José
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UPV Unit:
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Universitat Politècnica de València. Departamento de Ingeniería Mecánica y de Materiales - Departament d'Enginyeria Mecànica i de Materials
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Issued date:
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Abstract:
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In this work, we present a new approach to solve linear elastic crack problems in plates using the so-called Proper Generalized Decomposition (PGD). In contrast to the standard FE method, the method enables to solve the ...[+]
In this work, we present a new approach to solve linear elastic crack problems in plates using the so-called Proper Generalized Decomposition (PGD). In contrast to the standard FE method, the method enables to solve the crack problem in an efficient way by obtaining a single solution in which the Poisson's ratio v and the plate thickness B are non-fixed parameters. This permits to analyze the influence of v and B in the 3D solutions at roughly the cost of a series expansion of 2D analyses. Computationally, the PGD solution is less expensive than a full 3D standard FE analysis for typical discretizations used in practice to capture singularities in 3D crack problems. In order to verify the effectiveness of the proposed approach, the method is applied to cracked plates in mode I with a straight-through crack and a quarter-elliptical corner crack, validating J-integral results with different reference solutions.
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Subjects:
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Proper Generalized Decomposition
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Finite element method
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Cracked plate
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Corner singularity
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Copyrigths:
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Reserva de todos los derechos
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Source:
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International Journal of Solids and Structures. (issn:
0020-7683
)
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DOI:
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10.1016/j.ijsolstr.2013.01.039
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Publisher:
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Elsevier
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Publisher version:
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http://dx.doi.org/10.1016/j.ijsolstr.2013.01.039
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Project ID:
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Ministerio de Ciencia y Tecnologia DPI2010-20990 DPI2010-20542
Generalitat Valenciana, Programme PROMETEO 2012/023
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Thanks:
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The authors thank the Ministerio de Ciencia y Tecnologia for the support received in the framework of the projects DPI2010-20990, DPI2010-20542 and to the Generalitat Valenciana, Programme PROMETEO 2012/023.
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Type:
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Artículo
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