Development of Bifurcation Analysis Method for Rate Dependent Materials

Daiki Towata; Yuichi Tadano

doi:10.4028/www.scientific.net/KEM.794.220

Paper Titles

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

A Damage Mechanics Based Cohesive Zone Model with Damage Gradient Extension for Creep-Fatigue-Interaction
p.253

HomeKey Engineering MaterialsKey Engineering Materials Vol. 794Development of Bifurcation Analysis Method for...

Development of Bifurcation Analysis Method for Rate Dependent Materials

Abstract:

In this study, a novel numerical method to analyze the bifurcation problemof a rate dependent material using the finite element method is proposed. The consistent stiffness matrix, which is required for a bifurcation analysis using the finite element method, for a rate dependent material is generally hard to compute, therefore, a computational method to calculate the tangent stiffness matrix based on a numerical differential is introduced so that exact bifurcation analyses for the rate dependent material can be conducted. A numerical example of the proposed method is demonstrated, and the adequacy of the proposed method is discussed.

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Periodical:

Key Engineering Materials (Volume 794)

Pages:

220-225

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.794.220

Citation:

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Online since:

February 2019

Authors:

Daiki Towata, Yuichi Tadano*

Keywords:

Bifurcation, Buckling, Rate Dependent Materials, Structural Analysis

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* - Corresponding Author

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