Extended isogeometric analysis for material interface problems

DOI10.1093/imamat/hxu004zbMath1331.74166OpenAlexW1969057890MaRDI QIDQ5744238

Cosmin Anitescu, Seyed Shahram Ghorashi, Yue Jia, Timon Rabczuk

Publication date: 18 February 2016

Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imamat/hxu004

zbMATH Keywords

Poisson's equationinverse mappingisogeometric analysisNURBScurved triangular elementenrichment functionsXIGA

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Structured surfaces and interfaces, coexistent phases (74A50) Finite element methods applied to problems in solid mechanics (74S05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (8)

XIGA: an eXtended IsoGeometric analysis approach for multi-material problems ⋮ Adaptive extended isogeometric analysis based on PHT-splines for thin cracked plates and shells with Kirchhoff-Love theory ⋮ Vibration and buckling analyses of FGM plates with multiple internal defects using XIGA-PHT and FCM under thermal and mechanical loads ⋮ Extended isogeometric analysis with strong imposing essential boundary conditions for weak discontinuous problems using B++ splines ⋮ Orthogonalized generalized iso-geometric analysis (OGIGA) and its applications to problems of fracture mechanics ⋮ Stochastic fatigue crack growth simulation of interfacial crack in bi-layered FGMs using XIGA ⋮ Intrinsic extended isogeometric analysis with emphasis on capturing high gradients or singularities ⋮ Predicting band structure of 3D mechanical metamaterials with complex geometry via XFEM

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