Generalized plane strain finite element model for the analysis of elastoplastic composites

2005 ◽  
Vol 42 (8) ◽  
pp. 2361-2379 ◽  
Author(s):  
Alberto Taliercio
Author(s):  
J P Domblesky ◽  
L Zhao

A study was conducted to assess the robustness of a plane strain finite element model that was developed to simulate plate shearing using the Cockroft-Latham fracture criterion and element deletion. Model predictions for blade gap, ductility and edge wear were compared with published experimental results. Results showed that the model was able to simulate initiation and propagation of fracture lines at the punch and die corners and the resultant break angle along the edge was found to be close to values observed in practice. Simulated edge geometry and microhardness were found to be in reasonable agreement with published experimental results for the steel plate considered although the model was unable to simulate double cutting at 0.8 per cent clearance. Results also suggest that edge hardness is independent of the starting ductility in the plate and that increasing the edge radii does not effectively simulate edge wear. Based on the results obtained, it may be concluded that the plane strain model is able to simulate plate shearing with sufficient accuracy in the range of normal process conditions.


1979 ◽  
Vol 46 (3) ◽  
pp. 536-542 ◽  
Author(s):  
P. G. Hodge ◽  
H. M. van Rij

A finite-element model is proposed which allows for both straining within each element and slip between two elements. Basic equations are derived and are shown to almost completely uncouple into two constituent components: the conventional finite-element equations for continuous displacement fields and the “slip” equations which were recently derived for a model based on slipping of rigid triangles. The model is applied to the Prandtl punch problem and is shown to combine the best features of its two constituents.


Author(s):  
Xinjian Duan ◽  
Kevin Spencer ◽  
Mukesh Jain ◽  
David S. Wilkinson

The failure behaviour of notched AA5754 specimen subject to plane strain deformation is examined by the use of a heterogeneous finite element model. A ductile damage indicator triggered model is applied together with the use of element deletion technique for virtualization of fracture evolution. The predicted characteristics of the failure process under a wide range of triaxiality (0.33 to 2.5) fits well with those experimental observations in the literature.


1992 ◽  
Vol 34 (3) ◽  
pp. 195-210 ◽  
Author(s):  
P. Gratacos ◽  
P. Montmitonnet ◽  
C. Fromholz ◽  
J.L. Chenot

1998 ◽  
Vol 120 (2) ◽  
pp. 623-627 ◽  
Author(s):  
I. C. Finegan ◽  
R. F. Gibson

This paper describes preliminary results from a systematic analytical study of the improvement of damping in polymer composites at the micromechanical level under transverse normal loading by the use of special fiber coatings. Since shear deformations are important in damping of viscoelastic polymers, and large shear strains are generated in the region of the fiber/matrix interface, one idea for improving damping is to put a fiber coating made from a highly dissipative material in this region. A finite element model based on a “representative volume element” or repeating element of a continuously reinforced coated fiber composite is used to study damping under transverse normal loading. The micromechanical composite model investigated is a unidirectional graphite/epoxy with an acrylic polymer as the fiber coating material. Both two and three dimensional finite element models are analyzed in order to compare the influence of plane stress and plane strain conditions on the damping and stiffness properties of the composite micromechanical model. Parametric studies are conducted by using a two dimensional plane strain finite element model in order to illustrate how the coating applied to the fiber influences dynamic properties of the composite structure. The parametric studies are done with particular emphasis on the effects of frequency, temperature, and fiber coating thickness on the damping of the composite structure.


Author(s):  
Kefei Xu ◽  
Nolan R. Chu ◽  
Robert L. Jackson

This work presents a finite-element model-based study of elastic cylindrical contact. The aim is to evaluate the transition between the plane stress and plane strain-based Hertz solutions when each assumption is most applicable. To accomplish this, a range of curvatures, widths, Poisson’s ratios, and friction coefficients are considered. The finite-element model results for the elastic cylindrical contact cases are compared with the Hertz contact model when assuming plane stress or plane strain. Perhaps, surprisingly, the finite-element model predictions show little dependence on Poisson’s ratio and friction coefficient. The finite-element model predictions of force as a function of deflection agree relatively well with the plane stress Hertz prediction for all cases considered. The finite-element model predictions of contact width as a function of force actually fall below all the analytical Hertz predictions. Therefore, an adapted version of the Hertz equations is provided, which shows better agreement with the cases considered in this work.


Sign in / Sign up

Export Citation Format

Share Document