MA Hang, GUO Zhao, QIN Qing-hua. Two-Dimensional Polynomial Eigenstrain Formulation of Boundary Integral Equation With Numerical Verification[J]. Applied Mathematics and Mechanics, 2011, 32(5): 522-532. doi: 10.3879/j.issn.1000-0887.2011.05.002
Citation: MA Hang, GUO Zhao, QIN Qing-hua. Two-Dimensional Polynomial Eigenstrain Formulation of Boundary Integral Equation With Numerical Verification[J]. Applied Mathematics and Mechanics, 2011, 32(5): 522-532. doi: 10.3879/j.issn.1000-0887.2011.05.002

Two-Dimensional Polynomial Eigenstrain Formulation of Boundary Integral Equation With Numerical Verification

doi: 10.3879/j.issn.1000-0887.2011.05.002
  • Received Date: 2011-01-04
  • Rev Recd Date: 2011-03-19
  • Publish Date: 2011-05-15
  • he low-order polynomial distributed eigenstrain formulation of boundary integral equation (BIE) and the corresponding definition of Eshelby tensors were proposed for elliptical-shaped inhomogeneities in a two-dimensional elastic medium. Taking the results from traditional sub-domain boundary element method (BEM) as the control, effectiveness of the present algorithm was verified for an elastic medium with a single elliptical inhomogeneity. It is shown that, with the present computational model and algorithm, significant improvements are achieved in terms of efficiency as compared with the traditional BEM and in terms of accuracy as compared with the constant eigenstrain formulation of the BIE.
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