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http://hdl.handle.net/10174/13847
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Title: | Finite strain fracture of 2D problems with injected anisotropic softening elements |
Authors: | Areias, Pedro |
Issue Date: | 1-Aug-2014 |
Publisher: | Elsevier |
Abstract: | In the context of plane fracture problems, we introduce an algorithm based on our previously proposed
rotation of edges but now including the injection of continuum softening elements directly in the process
region. This is an extension of the classical smeared (or regularized) approach to fracture and can be seen
as an intermediate proposition between purely cohesive formulations and the smeared modeling. Characteristic
lengths in softening are explicitly included as width of injected elements. For materials with
process regions with macroscopic width, the proposed method is less cumbersome than the cohesive
zone model. This approach is combined with smoothing of the complementarity condition of the constitutive
law and the consistent updated Lagrangian method recently proposed, which simplifies the internal
variable transfer. Propagation-wise, we use edge rotation around crack front nodes in surface
discretizations and each rotated edge is duplicated. Modified edge positions correspond to the crack path
(predicted with the Ma-Sutton method). Regularized continuum softening elements are then introduced
in the purposively widened gap. The proposed solution has algorithmic and generality benefits with
respect to enrichment techniques such as XFEM. The propagation algorithm is simpler and the approach
is independent of the underlying element used for discretization. To illustrate the advantages of our
approach, yield functions providing particular cohesive behavior are used in testing. Traditional fracture
benchmarks and newly proposed verification tests are solved. Results are found to be good in terms of
load/deflection behavior. |
URI: | http://www.sciencedirect.com/science/article/pii/S0167844214000846 http://hdl.handle.net/10174/13847 |
Type: | article |
Appears in Collections: | FIS - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
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