Finite element modeling of isotropic elastic porous materials coupled with acoustical finite elements

1995 ◽  
Vol 98 (1) ◽  
pp. 635-643 ◽  
Author(s):  
Yeon June Kang ◽  
J. Stuart Bolton
Keyword(s):  
Finite Element ◽  
Finite Elements ◽  
Finite Element Modeling ◽  
Porous Materials ◽  
Element Modeling

Elastic-Plastic Constitutive Equation Accounting for Microstructure

2007 ◽  
Vol 340-341 ◽  
pp. 1037-1042
Author(s):  
Shuji Takashima ◽  
Noriyuki Miyazaki ◽  
Toru Ikeda ◽  
Michihiko Nakagaki
Keyword(s):  
Finite Element ◽  
Finite Elements ◽  
Constitutive Equation ◽  
Finite Element Modeling ◽  
Computational Time ◽  
Simple Problem ◽  
Finite Element Analyses ◽  
Element Modeling ◽  
Elastic Plastic ◽  
Equivalent Inclusion Method

In this study, we focus on the modeling of solid structures that include microstructures observed in particle-dispersed composites. The finite element modeling can be used to clarify how the macroscopic behaviors of solid structures are influenced by the microstructures. In such a case, if the whole structure including the microstructures is modeled by the finite elements, an enormous number of finite elements and enormous amount of computational time are required. To overcome such difficulties, we propose a new method for modeling microstructures. In this method, an explicit form of the stress-strain relation covering both elastic and elastic-plastic regions is derived from the equivalent inclusion method proposed by Eshelby that provides mathematical solutions for stress and strain at an arbitrary point inside and outside the inclusion. The derived elastic-plastic constitutive equation takes account of the microstructures, so that the effect of microstructures on the macroscopic behaviors can be obtained from the conventional finite element method by using such a constitutive equation without modeling microstructures in the finite element analysis. The effectiveness of the proposed constitutive equation is verified for a simple problem by comparing the results of the one-element finite element analyses using the proposed constitutive equation with those of the detailed finite element analyses using multi-element finite element modeling.

Computational Machining of Titanium Alloy—Finite Element Modeling and a Few Results

1996 ◽  
Vol 118 (2) ◽  
pp. 208-215 ◽  
Author(s):  
T. Obikawa ◽  
E. Usui
Keyword(s):  
Finite Element ◽  
Titanium Alloy ◽  
Finite Elements ◽  
Finite Element Modeling ◽  
Metal Cutting ◽  
Shape Change ◽  
Geometrical Nonlinearity ◽  
Deformation Analysis ◽  
Element Modeling ◽  
Serrated Chips

A Finite element modeling was developed for the computational machining of titanium alloy Ti-6Al-4V. The chip formation in metal cutting is one of the large deformation problems, thus, in the formulation of the elastic-plastic deformation analysis, geometrical nonlinearity due to the large shape change of the finite elements was taken into account and the over-constraint of incompressibility on the deformation of ordinary finite elements in the plastic range was relaxed to make the elements deformable as a real continuum. A ductile fracture criterion on the basis of strain, strain rate, hydrostatic pressure and temperature was applied to the crack growth during the chip segmentation. The temperature field in the flowing chip and workpiece and the fixed tool was calculated simultaneously by an unsteady state thermal conduction analysis and the remeshing of tool elements. The serrated chips predicted by the computational machining showed striking resemblances in the shape and irregular pitch of those obtained by actual cutting. The mean cutting forces and the amplitude of cutting force vibration in the computational machining were in good agreement with those in the actual machining.

Exact First Order Finite Element Modeling for Eddy Current NDE

1991 ◽  
Vol 3 (1) ◽  
pp. 235-253 ◽  
Author(s):  
L. D. Philipp ◽  
Q. H. Nguyen ◽  
D. D. Derkacht ◽  
D. J. Lynch ◽  
A. Mahmood
Keyword(s):  
Finite Element ◽  
Finite Element Modeling ◽  
Eddy Current ◽  
Element Modeling ◽  
First Order ◽  
Eddy Current Nde
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