Strain gradient stabilization with dual stress points for the meshfree nodal integration method in inelastic analyses

2015 ◽  
Vol 107 (1) ◽  
pp. 3-30 ◽  
Author(s):  
Cheng-Tang Wu ◽  
Sheng-Wei Chi ◽  
Masataka Koishi ◽  
Youcai Wu
Keyword(s):  
Strain Gradient ◽  
Integration Method ◽  
Nodal Integration ◽  
Gradient Stabilization

J-integral evaluation for 2D mixed-mode crack problems employing a meshfree stabilized conforming nodal integration method

2016 ◽  
Vol 58 (2) ◽  
pp. 185-198 ◽  
Author(s):  
Satoyuki Tanaka ◽  
Hirotaka Suzuki ◽  
Shota Sadamoto ◽  
Shogo Sannomaru ◽  
Tiantang Yu ◽  
...  
Keyword(s):  
Mixed Mode ◽  
Integration Method ◽  
J Integral ◽  
Integral Evaluation ◽  
Nodal Integration ◽  
Mixed Mode Crack ◽  
Crack Problems ◽  
Stabilized Conforming Nodal Integration

A stable, meshfree, nodal integration method for nearly incompressible solids

2012 ◽  
Vol 51 ◽  
pp. 81-85 ◽  
Author(s):  
William Elmer ◽  
J.S. Chen ◽  
Mike Puso ◽  
Ertugrul Taciroglu
Keyword(s):  
Integration Method ◽  
Nodal Integration ◽  
Incompressible Solids

scholarly journals A Lagrangian nodal integration method for free-surface fluid flows

2020 ◽  
Vol 361 ◽  
pp. 112816 ◽  
Author(s):  
Alessandro Franci ◽  
Massimiliano Cremonesi ◽  
Umberto Perego ◽  
Eugenio Oñate
Keyword(s):  
Free Surface ◽  
Integration Method ◽  
Fluid Flows ◽  
Nodal Integration

Efficient Meshfree Formulation for Metal Forming Simulations

2000 ◽  
Vol 123 (4) ◽  
pp. 462-467 ◽  
Author(s):  
Sangpil Yoon ◽  
Cheng-Tang Wu ◽  
Hui-Ping Wang ◽  
Jiun-Shyan Chen
Keyword(s):  
Computational Efficiency ◽  
Metal Forming ◽  
Integration Method ◽  
Galerkin Approximation ◽  
Meshfree Methods ◽  
Nodal Integration ◽  
Strain Smoothing ◽  
Forming Analysis ◽  
Forming Simulations ◽  
Integration Constraint

A stabilized conforming (SC) nodal integration method is developed for elastoplastic contact analysis of metal forming processes. In this approach, strain smoothing stabilization is introduced to eliminate spatial instability in collocation meshfree methods. The gradient matrix associated with strain smoothing satisfies the integration constraint (IC) of linear exactness in the Galerkin approximation. Strain smoothing formulation and numerical procedures for history-dependent problems are introduced. Applications to metal forming analysis are presented, with the results demonstrating a significant improvement in computational efficiency without loss of accuracy.

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