A meshless sub-region radial point interpolation method for accurate calculation of crack tip fields

Abstract

(2014) 'A meshless sub-region radial point interpolation method for accurate calculation of crack tip elds.', Theoretical and applied fracture mechanics., 69 . pp. 118-125. Further information on publisher's website:http://dx.doi.org/10.1016/j.tafmec.2013.12.003Publisher's copyright statement: NOTICE: this is the author's version of a work that was accepted for publication in Theoretical and Applied Fracture Mechanics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reected in this document. Changes may have been made to this work since it was submitted for publication. A denitive version was subsequently published in Theoretical and Applied Fracture Mechanics, 69, February 2014, 10.1016/j.tafmec.2013.12.003. Additional information:Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. AbstractA new meshless sub-region radial point interpolation method (MS-RPIM) is proposed for linear elastic fracture mechanics. The Williams expansions of stress field for mode I/II crack is used as the trial functions in crack tip region, the meshless radial point interpolation is used for the rest of domain, and a mixed variational principle is used for discretisation. In contrast to existing meshless formulations, the present MS-RPIM requires only very few nodes around the crack tip to obtain smooth stress and accurate results and the SIFs can be directly obtained as part of the solution and no additional effort via post-processing.

Numerical Investigation of Influence of In-Situ Stress Ratio, Injection Rate and Fluid Viscosity on Hydraulic Fracture Propagation Using a Distinct Element Approach

“…Numerical simulation [17][18][19][20][21][22][23][24][25][26][27][28] would avoid some of the randomness in laboratory experiments and could reflect the effect of critical parameters on hydraulic fracturing characteristics. Many works have been carried out to investigate the influence of some important parameters on hydraulic fracturing by numerical simulation.…”

A non-ordinary state-based peridynamics formulation for thermoplastic fracture

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Numerical Study on the Formation of Shear Fracture Network

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