High Accurate Solutions of Nonlocal Elasticity for Sphere

P.H. Wen; X.J. Huang; Ferri M.H.Aliabadi

doi:10.4028/www.scientific.net/KEM.577-578.509

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HomeKey Engineering MaterialsKey Engineering Materials Vols. 577-578High Accurate Solutions of Nonlocal Elasticity for...

High Accurate Solutions of Nonlocal Elasticity for Sphere

Abstract:

The analysis of sphere nonlocal elasticity is carried out by using the improved point collocation method. The approach is based on the Eringen’s model and two and three dimension problems are transformed to one dimension problems considering the polar symmetry. One dimension second order differential equation in terms of radial displacement is derived with domain integral. Due to the excellent accuracy of the point collocation method to one dimension differential equation using the radial basis function interpolation, the numerical solutions can be used as benchmarks. This approach can be easily extended to dynamic nonlocal elasticity and plasticity for sphere.

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Periodical:

Key Engineering Materials (Volumes 577-578)

Pages:

509-512

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.577-578.509

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Online since:

September 2013

Authors:

P.H. Wen, X.J. Huang, Ferri M.H.Aliabadi

Keywords:

Eringen’s Model, Nonlocal Elasticity, Point Collocation Method, Radial Basis Function (RBF)

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References

[1] AC Eringen, On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves. J. Appl. Phys 1983; 54: 4703-4710.

DOI: 10.1063/1.332803

Google Scholar

[2] SB Altan, Existence in nonlocal elasticity. Archive Mechanics 1989; 41: 25-36.

Google Scholar

[3] PH Wen and MH Aliabadi, An Improved Meshless Collocation Method for Elastostatic and Elastodynamic Problems, Communications in Numerical Methods in Engineering, 24 (8), 635-651, (2008)

DOI: 10.1002/cnm.977

Google Scholar

[4] Li M., Hon, YC, Korakianitis, T, Wen PH, Finite integration method for nonlocal elastic bar under static and dynamic loads, Engineering Analysis with Boundary Elements (to appear).

DOI: 10.1016/j.enganabound.2013.01.018

Google Scholar

[5] Wen PH, Aliabadi MH, Analytical formulation of meshless local integral equation method, APPLIED MATHEMATICAL MODELLING, 2013, Vol:37, Pages:2115-2126

DOI: 10.1016/j.apm.2012.05.006

Google Scholar

[6] Wen PH, Aliabadi MH, Analysis of functionally graded plates by meshless method: A purely analytical formulation, ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2012, Vol:36, Pages:639-650

DOI: 10.1016/j.enganabound.2011.11.017

Google Scholar

[7] Li LY, Wen PH, Aliabadi MH, Meshfree modeling and homogenization of 3D orthogonal woven composites, COMPOSITES SCIENCE AND TECHNOLOGY, 2011, Vol:71, Pages:1777-1788

DOI: 10.1016/j.compscitech.2011.08.014

Google Scholar

[8] Wen PH, Aliabadi MH, Elastic Moduli of Woven Fabric Composite by Meshless Local Petrov-Galerkin (MLPG) Method, CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2010, Vol:61, Pages:133-154

Google Scholar

[9] Wen PH, Aliabadi MH, Evaluation of mixed-mode stress intensity factors by the mesh-free Galerkin method: static and dynamic, JOURNAL OF STRAIN ANALYSIS FOR ENGINEERING DESIGN, 2009, Vol:44, Pages:273-286

DOI: 10.1243/03093247jsa509

Google Scholar