Dynamic high order numerical manifold method based on weighted residual method

DOI10.1002/nme.4752zbMath1352.74118OpenAlexW2152316722MaRDI QIDQ2952592

M. A. Ramezanpour, H. Ghasemzadeh, S. Bodaghpour

Publication date: 30 December 2016

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.4752

zbMATH Keywords

manifolddynamicresidualhigh orderdependenceNewmark

Mathematics Subject Classification ID

Numerical approximation of solutions of equilibrium problems in solid mechanics (74G15) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

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Complementarity problem arising from static growth of multiple cracks and MLS-based numerical manifold method ⋮ A novel numerical manifold method with derivative degrees of freedom and without linear dependence ⋮ An improved numerical manifold method model for groundwater flow problems ⋮ S-R decomposition based numerical manifold method ⋮ Topology optimization based on the high-order numerical manifold method by implementing a four-node quadrilateral element ⋮ GMLS-based numerical manifold method in mechanical analysis of thin plates with complicated shape or cutouts ⋮ Explicit edge-based smoothed numerical manifold method for transient dynamic modeling of two-dimensional stationary cracks ⋮ A modified numerical manifold method for simulation of finite deformation problem ⋮ A new insight into the analysis of plane elasticity with coupling of numerical manifold and boundary element methods ⋮ Numerical manifold method for vibration analysis of Kirchhoff's plates of arbitrary geometry ⋮ Static and dynamic analysis of plane elasticity using complex Fourier manifold method based on numerical improvement of Gauss-Legendre quadrature techniques

Cites Work

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• A phantom-node method with edge-based strain smoothing for linear elastic fracture mechanics
• Numerical analysis of 2-D crack propagation problems using the numerical manifold method
• Prediction of rank deficiency in partition of unity-based methods with plane triangular or quadrilateral meshes
• A new partition of unity finite element free from the linear dependence problem and possessing the delta property
• A new way to treat material discontinuities in the numerical manifold method
• The mixed-cell-complex partition-of-unity method
• Meshless methods: An overview and recent developments
• The partition of unity finite element method: basic theory and applications
• A mesh-based partition of unity method for discontinuity modeling
• On using enriched cover function in the partition-of-unity method for singular boundary-value problems
• A new cloud-based \(hp\) finite element method
• The design and analysis of the generalized finite element method
• A three-dimensional large deformation meshfree method for arbitrary evolving cracks
• Element-wise algorithm for modeling ductile fracture with the Rousselier yield function
• Fracture modeling of isotropic functionally graded materials by the numerical manifold method
• Numerical manifold method based on the method of weighted residuals
• Modeling bimaterial interface cracks using the numerical manifold method
• THE NUMERICAL MANIFOLD METHOD: A REVIEW
• Generalized nodes and high-performance elements
• A method for dynamic crack and shear band propagation with phantom nodes
• A new crack tip element for the phantom‐node method with arbitrary cohesive cracks
• New unconditionally stable staggered solution procedures for coupled soil-pore fluid dynamic problems
• Development of high-order manifold method
• Elastic crack growth in finite elements with minimal remeshing
• Element‐free Galerkin methods
• THE PARTITION OF UNITY METHOD
• A finite element method for crack growth without remeshing
• Advanced 4-node tetrahedrons
• Cracking particles: a simplified meshfree method for arbitrary evolving cracks

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