Adaptivity for structured meshfree particle methods in 2D and 3D

2005 ◽  
Vol 63 (11) ◽  
pp. 1559-1582 ◽  
Author(s):  
T. Rabczuk ◽  
T. Belytschko
Keyword(s):  
Particle Methods ◽  
Meshfree Particle Methods ◽  
2D And 3D

Meshfree particle methods

2000 ◽  
Vol 25 (2-3) ◽  
pp. 99-101 ◽  
Author(s):  
Not Available Not Available
Keyword(s):  
Particle Methods ◽  
Meshfree Particle Methods

On the meshfree particle methods for fluid-structure interaction problems

2021 ◽  
Vol 124 ◽  
pp. 14-40
Author(s):  
Farrukh Mazhar ◽  
Ali Javed ◽  
Jing Tang Xing ◽  
Aamer Shahzad ◽  
Mohtashim Mansoor ◽  
...  
Keyword(s):  
Fluid Structure Interaction ◽  
Particle Methods ◽  
Fluid Structure ◽  
Structure Interaction ◽  
Meshfree Particle Methods

scholarly journals Nonconforming Dirichlet boundary conditions in implicit material point method by means of penalty augmentation

2021 ◽  
Author(s):  
Bodhinanda Chandra ◽  
Veronika Singer ◽  
Tobias Teschemacher ◽  
Roland Wüchner ◽  
Antonia Larese
Keyword(s):  
Boundary Conditions ◽  
Dirichlet Boundary ◽  
Material Point Method ◽  
Material Point ◽  
Point Method ◽  
Dirichlet Boundary Conditions ◽  
Particle Methods ◽  
Contact Boundary ◽  
Background Mesh ◽  
2D And 3D

AbstractIn many geomechanics applications, material boundaries are subjected to large displacements and deformation. Under these circumstances, the application of boundary conditions using particle methods, such as the material point method (MPM), becomes a challenging task since material boundaries do not coincide with the background mesh. This paper presents a formulation of penalty augmentation to impose nonhomogeneous, nonconforming Dirichlet boundary conditions in implicit MPM. The penalty augmentation is implemented utilizing boundary particles, which can move either according to or independently from the material deformation. Furthermore, releasing contact boundary condition, as well as the capability to accommodate slip boundaries, is introduced in the current work. The accuracy of the proposed method is assessed in both 2D and 3D cases, by convergence analysis reaching the analytical solution and by comparing the results of nonconforming and classical grid-conforming simulations.

Meshfree particle methods for thin plates

2012 ◽  
Vol 209-212 ◽  
pp. 156-171 ◽  
Author(s):  
Hae-Soo Oh ◽  
Christopher Davis ◽  
Jae Woo Jeong
Keyword(s):  
Particle Methods ◽  
Thin Plates ◽  
Meshfree Particle Methods
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