Meshfree and particle methods and their applications

[+] Author and Article Information
Shaofan Li

Department of Civil & Environmental Engineering, University of California, Berkeley CA 94720; li@ce.berkeley.edu

Wing Kam Liu

Department of Mechanical Engineering, Northwestern University, 2145 Sheridan Rd, Evanston IL 60208; w-liu@northwestern.edu

Appl. Mech. Rev 55(1), 1-34 (Jan 01, 2002) (34 pages) doi:10.1115/1.1431547 History:
Copyright © 2002 by ASME
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Examples of kernel functions
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A 2D Stress point distribution
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The Ghost particle approach for boundary treatment
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An illustration of 2D hierarchical partition of unity
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Local meshfree-Galerkin illustration (∂Ωs=Ls∪Γs)
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Geometry definition of a representative nodal domain
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Asymmetrical impact problem (effective stress contour)
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Comparison of the deformations at different time stages for a block of hyperelastic material under compression by using MESHFREE and FEM when Δt=1×10−6 (s)
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Large deformation of a pinched cylinder
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Shear band pathes obtained via FEM and RKPM with different spatial aspect ratios in mesh/particle distribution
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Meshfree simulation of curved dynamic shear band: a) experimental observation; b) meshfree calculation 248
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Multi-scale Meshfree Simulation of strain localization of three point bending test
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Meshfree Galerkin Simulation of flow past an airfoil
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Penetration of a concrete block
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Molecular dynamics simulations of C60 passing through nanotube 320
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Lattice and velocity directions: a) triangular lattice; b) square lattice
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Cubic Lattice with 15 molecular speeds (D3Q15)




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