What is it about?
The scaled boundary radial point interpolation method (SBRPIM), a new semi-analytical technique, is introduced and applied to the analysis of the stress-strain problems. The main ideas of the SBRPIM are introducing a new method based on boundary scattered nodes without the need to element connectivity information, satisfying Kronecker delta function property and capable to handle singular problems.
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Why is it important?
This technique combines the advantages of both the scaled boundary and the boundary radial point interpolation (meshless) methods. Only boundary nodes are used, no fundamental solution is required and as the BRPIM shape functions possess Kronecker delta function property, the boundary conditions of the problems can be accurately enforced without additional efforts. Due to reduction of space dimensions, the computational effort is decreased. This method is applicable for all engineering and physics problems.
Perspectives
*The SBRPIM can easily model non-homogeneous material and inclined joints and this method can provide accurate results in dealing with these problems. *Comparing the results of the SBRPIM with those of FDM, PIM and EFG method, the low computational cost, and high accuracy of the proposed method are confirmed.
Mohammad Hajiazizi
Read the Original
This page is a summary of: A scaled boundary radial point interpolation method for 2-D elasticity problems, International Journal for Numerical Methods in Engineering, April 2017, Wiley,
DOI: 10.1002/nme.5534.
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