2008
DOI: 10.1016/j.cma.2007.08.027
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Discontinuous modelling of shear bands using adaptive meshfree methods

Abstract: A simple methodology to model shear bands as strong displacement discontinuities in an adaptive meshfree method is presented. The shear band is represented by a displacement jump at discrete particle positions. The displacement jump in normal direction is suppressed with penalty method. Loss of material stability is used as transition criterion from continuum to discontinuum. The method is twoand three-dimensional. Examples of complicated shear banding including transition from brittle-to-ductile failure are s… Show more

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Cited by 149 publications
(47 citation statements)
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“…We can quote Gao and Klein (1999) Rabczuk and Samaniego (2008), besides the earlier references Needleman and Tvergaard (1994a,b), Belytschko and Tabbara (1996), and Zhou et al (1996b). The challenge is to accurately capture the experimentally observed failure mode transition from ductile to brittle failure as the impact velocity reduces, as well as the critical value of the impact velocity where this transition occurs.…”
Section: Failure Mode Transition In Ductile Materialsmentioning
confidence: 99%
“…We can quote Gao and Klein (1999) Rabczuk and Samaniego (2008), besides the earlier references Needleman and Tvergaard (1994a,b), Belytschko and Tabbara (1996), and Zhou et al (1996b). The challenge is to accurately capture the experimentally observed failure mode transition from ductile to brittle failure as the impact velocity reduces, as well as the critical value of the impact velocity where this transition occurs.…”
Section: Failure Mode Transition In Ductile Materialsmentioning
confidence: 99%
“…They are particularly well suited for dynamic fracture and large deformations. Moreover, adaptive hrefinement can be easily implemented in a meshfree context [185][186][187]. Though all methods discussed so far are capable of capturing discrete cracks, a certain refinement around the crack front is still needed for accuracy and efficiency reasons [188].…”
Section: Meshfree Methodsmentioning
confidence: 99%
“…This problem also appears in a number of references e.g. [99,101,102,104,105] and the modelling of problems which are dominated by shear bands are covered using meshless methods in [106][107][108]. The Figure 17(d).…”
Section: Footing Loaded On a Slopementioning
confidence: 99%