An improved numerical manifold method and its application

DOI10.1016/j.enganabound.2014.11.033zbMath1403.74099OpenAlexW2018981205MaRDI QIDQ1654638

Y. Aharonov

Publication date: 9 August 2018

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2014.11.033

zbMATH Keywords

finite element methodnumerical manifold methodmathematical coverphysical covermanifold elementmathematical element

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items

Improve the ill-conditioning for small physical covers by area normalized method in numerical manifold method (NMM) ⋮ Topology optimization based on the high-order numerical manifold method by implementing a four-node quadrilateral element ⋮ Critical assessment of different mass lumping schemes for higher order serendipity finite elements ⋮ Modeling phase change problems using a new implementation of the numerical manifold method

Cites Work

• Unnamed Item
• Unnamed Item
• Modeling complex crack problems using the numerical manifold method
• Cover refinement of numerical manifold method for crack propagation simulation
• A new way to treat material discontinuities in the numerical manifold method
• Finite cover method for progressive failure with cohesive zone fracture in heterogeneous solids and structures
• The design and analysis of the generalized finite element method
• Numerical manifold space of Hermitian form and application to Kirchhoff's thin plate problems
• New strategies for some issues of numerical manifold method in simulation of crack propagation
• Generalization of two-dimensional discontinuous deformation analysis for forward modelling
• Two dimensional discontinuous deformation analysis
• Finite cover method for linear and non-linear analyses of heterogeneous solids
• Arbitrary branched and intersecting cracks with the extended finite element method
• A finite element method for crack growth without remeshing
• The generalized finite element method
• Modeling holes and inclusions by level sets in the extended finite element method