New strong formulation for material nonlinear problems based on the particle difference method

DOI10.1016/j.enganabound.2018.10.015zbMath1404.74197OpenAlexW2901661317WikidataQ128959561 ScholiaQ128959561MaRDI QIDQ1634661

Timon Rabczuk, Jeong-Hoon Song, Peter Schaefferkoetter, Young-Cheol Yoon

Publication date: 18 December 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.2018.10.015

zbMATH Keywords

Newton's methodmaterial nonlineardouble derivative approximationparticle difference methodstrong form meshfree method

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Finite difference methods applied to problems in solid mechanics (74S20) Finite difference methods for boundary value problems involving PDEs (65N06) Theory of constitutive functions in solid mechanics (74A20)

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A Strong Form Meshfree Collocation Method: Engineering Applications Including Frictional Contact ⋮ Strong form-based meshfree collocation method for wind-driven ocean circulation ⋮ A strong form meshfree collocation method for frictional contact on a rigid obstacle ⋮ 3D isogeometric boundary element analysis and structural shape optimization for Helmholtz acoustic scattering problems ⋮ Meshfree numerical approach based on the finite pointset method for static linear elasticity problems ⋮ Interface immersed particle difference method for weak discontinuity in elliptic boundary value problems ⋮ On the use of radial point interpolation method (RPIM) in a high order continuation for the resolution of the geometrically nonlinear elasticity problems ⋮ Multiresolution-based adaptive central high resolution schemes for modeling of nonlinear propagating fronts

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