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Treatment of material discontinuity in the element-free Galerkin method. (English) Zbl 0918.73331

Summary: A method is presented for application of the element-free Galerkin method (EFG) to solid mechanics problems containing material discontinuities. By using the EFG method, the trial and test functions for the weak form are constructed with moving least-square interpolants in each material domain. Additional constraints are imposed at the variational level to ensure satisfaction of interface conditions. As a result, only nodal data (no elemental connectivity) is needed. Given \(C^1\) continuity of the interpolant weighting function, the dependent variable and its gradient are continuous in each material domain. Two linear elastic bi-material examples are presented to illustrate the effectiveness of the method.

MSC:

74S30 Other numerical methods in solid mechanics (MSC2010)
74B05 Classical linear elasticity
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