Meshfree Analysis of Higher-Order Gradient Crystal Plasticity Using Nodal Integration

Tota Niiro; Yuichi Tadano

doi:10.4028/www.scientific.net/KEM.794.214

Paper Titles

Numerical Analysis of the Impact Fracture of Metallic Glass Based on Free Volume Model
p.188

Experimental Study on Crushing Resistance of Square CFRP Frusta under Axial Loading
p.194

Dynamic Axial Compression of Square CFRP/Aluminium Tubes
p.202

A Three-Dimensional Formulation of Phase Field Model Representing Polycrystalline Solidification
p.208

Meshfree Analysis of Higher-Order Gradient Crystal Plasticity Using Nodal Integration
p.214

Development of Bifurcation Analysis Method for Rate Dependent Materials
p.220

Forming Limit Analysis of Hexagonal Metal Considering Volume Fraction of Deformation Twinning
p.226

Three Dimensional Finite Element Simulation of Strip Shape and Flatness of High Strength Steel
p.232

Macroscopic and Microscopic Non-Uniform Deformations of Polycrystalline Pure Copper during Uniaxial Tensile Test with High Stress Gradient
p.246

HomeKey Engineering MaterialsKey Engineering Materials Vol. 794Meshfree Analysis of Higher-Order Gradient Crystal...

Meshfree Analysis of Higher-Order Gradient Crystal Plasticity Using Nodal Integration

Abstract:

The size effect of metallic materials is one of the important factors for understanding characteristics of material. The higher-order gradient crystal plasticity is a powerful model for describing the size effect. However, it is known that the finite element method sometimes provides an improper solution. In this study, we analyze the higher-order gradient crystal plasticity model using a meshfree method, and a nodal integration scheme is introduced to improve the analysis accuracy. The effectiveness and stability of the meshfree method for the higher-order gradient crystal plasticity model are quantitatively discussed.

You might also be interested in these eBooks

Advances in Engineering Plasticity and its Application IX

View Preview

Info:

Periodical:

Key Engineering Materials (Volume 794)

Pages:

214-219

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.794.214

Citation:

Cite this paper

Online since:

February 2019

Authors:

Tota Niiro, Yuichi Tadano*

Keywords:

Higher-Order Gradient Crystal Plasticity, Meshfree Method, Size Effect

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

* - Corresponding Author

References

[1] M. Kuroda, V. Tvergaard, On the formulations of higher-order strain gradient crystal plasticity models, J. Mech. Phys. Solids 56 (2008) 1591-1608.

DOI: 10.1016/j.jmps.2007.07.015

Google Scholar

[2] M. Kuroda, On large-strain finite element solutions of higher-order gradient crystal plasticity, Int. J. Solids Struct. 48 (2011) 3382-3394.

DOI: 10.1016/j.ijsolstr.2011.08.008

Google Scholar

[3] W.K. Liu, S. Jun, Y.F. Zhang, Reproducing kernel particle methods, Int. J. Numer. Meth. Fluids 20 (1995) 1081-1106.

DOI: 10.1002/fld.1650200824

Google Scholar

[4] J.S. Chen, C.T. Wu, S. Yoon, Y. You, A stabilized conforming nodal integration for Galerkin mesh-free methods, Int. J. Numer. Meth. Engng. 50 (2001) 435-466.

DOI: 10.1002/1097-0207(20010120)50:2<435::aid-nme32>3.0.co;2-a

Google Scholar