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Isogeometric boundary element analysis with elasto-plastic inclusions. II: 3-D problems. (English) Zbl 1439.74056

Summary: A novel approach is presented for the isogeometric Boundary Element analysis of domains that contain predefined inclusions with material properties that are different to the rest of the domain and which also may exhibit inelastic behavior. The paper is complementary to Part I [the first author et al., ibid. 308, 552–570 (2016; Zbl 1439.74057)], which focused on plane problems. The theoretical framework and implementation are extended to three-dimensional problems here. In our approach the geometry of inclusions is described using NURBS surfaces. The advantage over currently used methods is that no discretization into cells is required, in order to evaluate the arising volume integrals. The implementation is verified on test cases by comparison with either exact solutions or ones computed by the Finite Element method.

MSC:

74C05 Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials)
65D07 Numerical computation using splines
65M38 Boundary element methods for initial value and initial-boundary value problems involving PDEs

Citations:

Zbl 1439.74057
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Full Text: DOI

References:

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