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Technical Paper

An Elastoplastic Damage Coupled Analysis for Crashworthiness of Aluminum Materials

This paper presents a comprehensive damage model capable of predicting crash behavior of aluminum structures under varying applied loading conditions. The damage model has been implemented in a general purpose explicit nonlinear finite element code and crash analysis has been carried out for aluminum tubes. The response obtained from the finite element analysis shows a close agreement with the experimental data. The finite element program containing the proposed generalized damage model can be used to analyze aluminum structures subjected to complex service loading conditions and identify associated failure modes to assess crashworthiness.
Technical Paper

Formability of Ti-TWBs at Elevated Temperatures

In this paper, the formability of Ti-TWBs at different elevated temperatures is experimentally investigated. Ti-TWBs made of Ti-6Al-4V sheets with thicknesses of 0.7mm and 1.0mm are manufactured. Then, the tensile test and forming test at elevated temperatures, ranging from room temperature to 600°C, have been carried out to determine the mechanical properties and the formability of the prepared Ti-TWBs respectively. The effects of elevated temperatures on both the forming and failure behaviors of the Ti-TWBs are examined by comparing with that of the Ti-6Al-4V base metal. It is found that the formability of the Ti-TWBs at room temperature with a dissimilar thickness combination is lower than that of their base metal, whilst the formability of both the Ti-TWBs and their base metal increases with increasing forming temperature. In addition, failures have often been found at the thinner base metal during the Ti-TWB forming, provided that the quality weld is attained without defect.
Technical Paper

LS-DYNA3D Simulation of Sheet Metal Forming using Damage Based User Subroutine

LS-DYNA3D has been widely used to perform computer simulation of sheet metal forming. In the material library of LS-DYNA3D there are a number of user defined material models. In order to take full advantage of the material subroutines, it is important for the users to be able to display user defined history variables in the post processing and to establish user-defined failure criterion. In this report, the development of a damage coupled plastic model is firstly described. The damage model is then programmed in a user defined material subroutine. This is followed by performing finite element simulation of sheet metal forming with the LS-DYNA3D that has incorporated the damage coupled plastic model. The way to display the user defined history variables and how to deal with the failure criterion during the postprocessing of ETA/DYNAFORM are described. History variable distributions at several time steps are displayed and discussed in this paper.
Technical Paper

Prediction and Experimental Validation of Path-Dependent Forming Limit Diagrams of VDIF Steel

Strains in most stamped parts are produced under non-proportional loading. Limit strains induced during forming are, therefore, path dependent. Experimental Forming Limit Diagrams (FLDs) are usually determined under proportional loading and are not applicable to most forming operations. Experimental results have shown that path dependent FLDs are different from those determined under proportional loading. A number of analytical methods have been used to predict FLDs under proportional loading. The authors have recently introduced a new method for predicting FLDs based on the theory of damage mechanics. The damage model was used successfully to predict proportional FLDs for VDIF steel and Al6111-T4. In this paper, the anisotropic damage model was used to predict non-proportional FLDs for VDIF steel. Experiments were conducted to validate model predictions by applying pre-stretch in plane strain followed by uniaxial and balanced biaxial tension.
Technical Paper

Prediction of Forming Limit Diagram with Damage Analysis

Based on the theory of damage mechanics, an orthotropic damage model for the prediction of forming limit diagram (FLD) is developed. The conventional method of FLD used to predict localized necking adopts two fundamentally different approaches. Under biaxial loading, the Hill's plasticity method is often chosen when α (= ε2/ε1) < 0. On the other hand, the M-K method is adopted for the prediction of localized necking when α > 0 or the biaxial stretching of sheet metal is pronounced. The M-K method however suffers from the arbitrary selection of the imperfection size, thus resulting in inconsistent predictions. The orthotropic damage model developed for predicting the FLD is based on the anisotropic damage model recently proposed by Chow et al (1993). The model is extended to take into account, during the sheet forming process, orthotropic plasticity and damage. The orthotropic FLD model consists of the constitutive equations of elasticity and plasticity coupled with damage.