A novel numerical manifold method with derivative degrees of freedom and without linear dependence

DOI10.1016/j.enganabound.2015.11.016zbMath1403.74299OpenAlexW2206501542MaRDI QIDQ1654931

Zhongming Jiang, Huo Fan, Siming He, Hong Zheng

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.2015.11.016

zbMATH Keywords

free expansioninitial stress matrixcontinuous star point stressderivative degrees of freedomstress post-processing

Mathematics Subject Classification ID

Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (13)

Improve the ill-conditioning for small physical covers by area normalized method in numerical manifold method (NMM) ⋮ The combination of the boundary element method and the numerical manifold method for potential problems ⋮ A high-order three-dimensional numerical manifold method enriched with derivative degrees of freedom ⋮ Simulating stress wave with flat-top partition of unity based high-order discontinuous deformation analysis ⋮ S-R decomposition based numerical manifold method ⋮ A new family of high‐order triangular weight functions for mass lumping in vibration analysis ⋮ GMLS-based numerical manifold method in mechanical analysis of thin plates with complicated shape or cutouts ⋮ A four-way enhanced numerical manifold method for crack propagation and failure analysis of rock slopes ⋮ Cone complimentary-based numerical manifold method modeling frictional and cohesive contact problems ⋮ An improved grain-based numerical manifold method to simulate deformation, damage and fracturing of rocks at the grain size level ⋮ Quadrilateral-area-coordinate-based numerical manifold method accommodating static and dynamic analysis ⋮ A damage-based numerical manifold approach to crack propagation in rocks ⋮ Static and dynamic analysis of plane elasticity using complex Fourier manifold method based on numerical improvement of Gauss-Legendre quadrature techniques

Uses Software

• FEAPpv

Cites Work

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