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

卷:50

Article

Giner, Eugenio¹  Bognet, Brice²  Rodenas, Juan J.¹  Leygue, Adrien²  Javier Fuenmayor, F.¹  Chinesta, Francisco² 

[1] Univ Politecn Valencia, CITV, Dept Ingn Mecan & Mat, Valencia 46022, Spain

[2] Ecole Cent Nantes, EADS Corp Fdn Int Chair GeM, F-44321 Nantes 3, France

关键词: Proper Generalized Decomposition;    Finite element method;    Cracked plate;    Corner singularity;   

DOI  :  10.1016/j.ijsolstr.2013.01.039

来源: Elsevier

【 摘 要 】

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. (C) 2013 Elsevier Ltd. All rights reserved.

【 授权许可】

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