A finite element method for analyzing localization in rate dependent solids at finite strains

1989 ◽  
Vol 73 (3) ◽  
pp. 235-258 ◽  
Author(s):  
A. Nacar ◽  
A. Needleman ◽  
M. Ortiz
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Finite Strains ◽  
Rate Dependent ◽  
Element Method

Fracture Mechanics of Architecture Dependent Fracture in Trabecular Bone Using the Cohesive Finite Element Method

2007 ◽  
Author(s):  
Vikas Tomar
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Trabecular Bone ◽  
Fracture Behavior ◽  
Bone Microstructure ◽  
Tissue Properties ◽  
Rate Dependent ◽  
Microdamage Accumulation ◽  
Element Method ◽  
Rate Of Loading

Trabecular bone fracture is closely related to the trabecular architecture and microdamage accumulation. Micro-finite element models have been used to investigate the elastic and yield properties of trabecular bone but have only seen limited application in modeling the microstructure dependent fracture of trabecular bone, [1, 2]. In the presented research a cohesive finite element method (CFEM) based approach that can be used to model microstructure and loading rate dependent fracture in trabecular bone is developed for the first time. The emphasis is on understanding the effect of the rate of loading and its correlation with the bone microstructure on the microdamage accumulation and fracture behavior in the trabecular bone. Analyses focus on understanding the effect of the rate of loading, change in bone tissue properties with aging, and their correlation with the bone microstructure on the microdamage accumulation and the fracture behavior in the trabecular bone.

Development of Bifurcation Analysis Method for Rate Dependent Materials

2019 ◽  
Vol 794 ◽  
pp. 220-225
Author(s):  
Daiki Towata ◽  
Yuichi Tadano
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Bifurcation Analysis ◽  
Stiffness Matrix ◽  
Computational Method ◽  
Analysis Method ◽  
The Finite Element Method ◽  
Tangent Stiffness Matrix ◽  
Rate Dependent ◽  
Element Method

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.

Numerical Simulations of Uniaxial Tension Behaviour of Aluminum Single Crystal by Crystal Plasticity Finite Element Method

2013 ◽  
Vol 774-776 ◽  
pp. 1006-1009
Author(s):  
Cong Sheng Chen ◽  
Xue Hui Chen ◽  
Lei Huang ◽  
Jing Fa Lei ◽  
Ping He
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Single Crystal ◽  
Uniaxial Tension ◽  
Crystal Plasticity ◽  
Aluminum Single Crystal ◽  
Crystal Plasticity Finite Element ◽  
Rate Dependent ◽  
Crystal Plasticity Theory ◽  
Element Method

Based on the rate-dependent crystal plasticity theory, the user material subroutine is embedded into the abaqus / standard, which is able to describe the changes of grain orientation. The crystal plasticity finite element method is used to simulate the aluminum single crystal uniaxial tension and the stress and strain response is analyzed under different tension displacement.

Simulation of tuning graphene plasmonic behaviors by ferroelectric domains for self-driven infrared photodetector applications

Nanoscale ◽  
2019 ◽  
Vol 11 (43) ◽  
pp. 20868-20875 ◽  
Author(s):  
Junxiong Guo ◽  
Yu Liu ◽  
Yuan Lin ◽  
Yu Tian ◽  
Jinxing Zhang ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Interfacial Effect ◽  
Infrared Photodetector ◽  
The Finite Element Method ◽  
Ferroelectric Domains ◽  
Element Method

We propose a graphene plasmonic infrared photodetector tuned by ferroelectric domains and investigate the interfacial effect using the finite element method.

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