Viscoplastic Constitutive Modeling of Anisotropic Damage Under Nonproportional Loading

2000 ◽  
Vol 123 (4) ◽  
pp. 403-408 ◽  
Author(s):  
C. L. Chow ◽  
X. J. Yang ◽  
Edmund Chu
Keyword(s):  
Constitutive Modeling ◽  
Damage Evolution ◽  
Damage Mechanics ◽  
Evolution Equations ◽  
Forming Limit ◽  
Anisotropic Damage ◽  
Limit Curve ◽  
Forming Limit Curve ◽  
Localized Necking ◽  
Theory Of Damage

Based on the theory of damage mechanics, a viscoplastic constitutive modeling of anisotropic damage for the prediction of forming limit curve (FLC) is developed. The model takes into account the effect of rotation of principal damage coordinates on the deformation and damage behaviors. With the aid of the damage viscoplastic potential, the damage evolution equations are established. Based on a proposed damage criterion for localized necking, the model is employed to predict the FLC of aluminum 6111-T4 sheet alloy. The predicted results agree well with those determined experimentally.

Viscoplastic Constitutive Modeling of Anisotropic Damage Under Nonproportional Loading

2000 ◽  
Author(s):  
C. L. Chow ◽  
X. J. Yang ◽  
Edmund Chu
Keyword(s):  
Constitutive Modeling ◽  
Damage Evolution ◽  
Damage Mechanics ◽  
Evolution Equations ◽  
Forming Limit ◽  
Anisotropic Damage ◽  
Limit Curve ◽  
Forming Limit Curve ◽  
Localized Necking ◽  
Theory Of Damage

Abstract Based on the theory of damage mechanics, a viscoplastic constitutive modeling of anisotropic damage for the prediction of forming limit curve (FLC) is developed. The model takes into account the effect of rotation of principal damage coordinates on the deformation and damage behaviors. With the aid of the damage viscoplastic potential, the damage evolution equations are established. Based on a proposed damage criterion for localized necking, the model is employed to predict the FLC of aluminum 6111-T4 sheet alloy. The predicted results agree well with those determined experimentally.

Prediction of Forming Limit Diagram Based on Damage Coupled Kinematic-Isotropic Hardening Model Under Nonproportional Loading

2002 ◽  
Vol 124 (2) ◽  
pp. 259-265 ◽  
Author(s):  
C. L. Chow ◽  
X. J. Yang ◽  
E. Chu
Keyword(s):  
Damage Mechanics ◽  
Kinematic Hardening ◽  
Forming Limit Diagram ◽  
Forming Limit ◽  
Isotropic Hardening ◽  
Strain History ◽  
Sheet Metals ◽  
Nonproportional Loading ◽  
Localized Necking ◽  
Theory Of Damage

Based on the theory of damage mechanics, an anisotropic damage coupled mixed isotropic-kinematic hardening plastic model for the prediction of forming limit diagram (FLD) is developed. The model includes the formulation of nonlinear anisotropic kinematic hardening. For the prediction of limit strains under nonproportional loading, a damage criterion for localized necking of sheet metals subjected to complex strain history is proposed. The model is employed to predict the FLDs of AL6111-T4 alloy. The predicted results agree well with those determined experimentally.

scholarly journals Determination of forming limit curve in two-layer metallic sheets using the finite element simulation

2016 ◽  
Vol 230 (6) ◽  
pp. 1018-1029 ◽  
Author(s):  
Ehsan Karajibani ◽  
Ramin Hashemi ◽  
Mohammad Sedighi
Keyword(s):  
Finite Element ◽  
Process Parameters ◽  
Forming Limit ◽  
Strain History ◽  
Limit Curve ◽  
Forming Limit Curve ◽  
Localized Necking ◽  
Finite Element Software ◽  
Major Strain ◽  
Element Simulation

Forming limit curve (FLC) is a suitable method for determining the metallic sheets formability. The purpose of the present research is to expose a simulation-based approach to predict the FLC in two-layer metallic sheets. In this paper, the formability of two-layer (AA3004-ST12) metallic sheets, with an aluminum inner layer (in contact with the punch) and a steel outer layer (in contact with the die) was numerically investigated. Two distinct criteria, including the acceleration (i.e. the second time derivatives) of thickness, and major strain extracted from the strain history information of finite element software, were applied to determine the commencement of local necking in FLCs. It shows that the localized necking starts when the acceleration of the thickness or major strain, is maximized. The published experimental results for AA3004/ST12 two-layer metallic sheets were employed in order to evaluate the simulation results. It is shown that the presented methods are noticeably aligned with the published experimental data. By the grace of present methods, the effects of some process parameters on the FLC have been investigated. It is shown that process parameters such as thickness and lay-up of each layer will have significant influences on FLC of two-layer metallic sheets.

Numerical Simulation of the Forming Limit of Superplastic AZ31B Magnesium Alloy Sheet

2017 ◽  
Vol 898 ◽  
pp. 159-167 ◽  
Author(s):  
Mei Juan Song ◽  
Chuan Hui Huang ◽  
Min He ◽  
Xiao Dong Luo ◽  
Bao Shun Li
Keyword(s):  
Numerical Simulation ◽  
Magnesium Alloy ◽  
Theoretical Prediction ◽  
Damage Evolution ◽  
Alloy Sheet ◽  
Forming Limit ◽  
Limit Curve ◽  
Forming Limit Curve ◽  
Magnesium Alloy Sheet ◽  
Az31b Magnesium Alloy Sheet

Numerical simulation of superplastic forming limit of AZ31B magnesium alloy sheet was investigated. The damage evolution equation based on the law of the micro-damage evolution and statistical mechanics was derived, and damage characteristic parameters as well as the critical value of damage variable were identified to provide a theoretical ground on which the plastic forming technology of magnesium alloy sheet can be optimized. The theoretical prediction was made with the numerical simulation program, and the results were verified by experiments. The forming limit curve of the theoretical prediction drawn by numerical simulation was established by the basic adaptation of the forming limit curve based on the experimental data.

Prediction of the forming limit diagram on the basis of the damage criterion under non-proportional loading

2001 ◽  
Vol 215 (4) ◽  
pp. 405-414 ◽  
Author(s):  
C L Chow ◽  
X-J Yang
Keyword(s):  
Damage Mechanics ◽  
Evolution Equations ◽  
Damage Model ◽  
Forming Limit Diagram ◽  
Forming Limit ◽  
Proportional Loading ◽  
Damage Criterion ◽  
Arbitrary Loading ◽  
Anisotropic Plastic ◽  
Theory Of Damage

Based on the theory of damage mechanics, a recently developed anisotropic plastic damage model for the prediction of forming limit diagrams (FLDs) is extended to take into account the effect of rotation of the principal damage coordinates on the deformation and damage behaviour. With the aid of the damage plastic potential, the damage evolution equations are established. A damage criterion for localized necking under arbitrary loading history is proposed. The model is employed to predict the FLDs of AL6111-T4 alloy. The predicted results agree well with those determined experimentally.

Parameter estimation of an anisotropic damage model for concrete using genetic algorithms

2015 ◽  
Vol 26 (6) ◽  
pp. 801-825 ◽  
Author(s):  
Muhammad A Wardeh ◽  
Houssam A Toutanji
Keyword(s):  
Damage Evolution ◽  
Elastic Strain ◽  
Strain Energy ◽  
Damage Mechanics ◽  
Evolution Equations ◽  
Damage Model ◽  
Elastic Strain Energy ◽  
Constitutive Law ◽  
Anisotropic Damage ◽  
Unknown Parameters

This article presents an anisotropic damage model for concrete that couples between elasticity and continuum damage mechanics. The formulation of constitutive model is based on the elastic strain energy in the framework of irreversible thermodynamics. The thermodynamic free energy is represented as a scalar function of elastic strain and damage tensors and used to derive the constitutive law and thermodynamic conjugate force of damage that is used to derive the dissipation potential. The damage evolution law is governed by the normality rule. The formulation of elastic strain energy of damaged material is capable of modeling the concrete anisotropic behavior under different loadings without decoupling the stress or damage release rate. A series of unknown parameters in the model formulation was used to control the constitutive behavior and damage surface. A Genetic algorithm FORTRAN subroutine is used to estimate these parameters based on the coupling between the constitutive and damage evolution equations. The performance of the damage model is verified with the experimental data from the literature. The model has shown a good agreement with the experimental results. It describes the anisotropy induced by the crack development within the concrete.

Formability Analysis of AA6061 Sheet in T6 Condition

2015 ◽  
Vol 766-767 ◽  
pp. 416-421
Author(s):  
S. Vijayananth ◽  
V. Jayaseelan ◽  
G. Shivasubbramanian
Keyword(s):  
Experimental Method ◽  
Forming Limit Diagram ◽  
Forming Limit ◽  
Ansys Software ◽  
Limit Curve ◽  
High Corrosion Resistance ◽  
Forming Limit Curve ◽  
Drawing Test ◽  
Deep Drawing Test ◽  
Alloy 6061

Formability of a material is defined as its ability to deform into desired shape without being fracture. There will always be a need for formability tests, a larger number of tests have been used in an effort to measure the formability of sheet materials. Aluminium Alloy 6061 is a magnesium and silicon alloy of aluminium. It is also called as marine material as it has high corrosion resistance to seawater. In this paper Formability test of AA6061 sheet is done by Forming Limit Diagram (FLD) Analysis. FLD or Forming Limit Curve (FLC) for the forming processes of AA6061 sheets is obtained by Experimental method and FEM. Experimental method involves Deep drawing test of the sheet and ANSYS software is used for FEM.

Experimental and Numerical Analysis of Forming Limits in CNC Incremental Sheet Forming

2007 ◽  
Vol 344 ◽  
pp. 511-518 ◽  
Author(s):  
Markus Bambach ◽  
M. Todorova ◽  
Gerhard Hirt
Keyword(s):  
Sheet Metal ◽  
Sheet Forming ◽  
Incremental Sheet Forming ◽  
Negative Slope ◽  
Evaluation Procedure ◽  
Forming Limit ◽  
Limit Curve ◽  
Forming Limit Curve ◽  
Forming Limits ◽  
Straight Line

Asymmetric incremental sheet forming (AISF) is a relatively new manufacturing process for the production of low volumes of sheet metal parts. Forming is accomplished by the CNC controlled movements of a simple ball-headed tool that follows a 3D trajectory to gradually shape the sheet metal blank. Due to the local plastic deformation under the tool, there is almost no draw-in from the flange region to avoid thinning in the forming zone. As a consequence, sheet thinning limits the amount of bearable deformation, and thus the range of possible applications. Much attention has been given to the maximum strains that can be attained in AISF. Several authors have found that the forming limits are considerably higher than those obtained using a Nakazima test and that the forming limit curve is approximately a straight line (mostly having a slope of -1) in the stretching region of the FLD. Based on these findings they conclude that the “conventional” forming limit curves cannot be used for AISF and propose dedicated tests to record forming limit diagrams for AISF. Up to now, there is no standardised test and no evaluation procedure for the determination of FLCs for AISF. In the present paper, we start with an analysis of the range of strain states and strain paths that are covered by the various tests that can be found in the literature. This is accomplished by means of on-line deformation measurements using a stereovision system. From these measurements, necking and fracture limits are derived. It is found that the fracture limits can be described consistently by a straight line with negative slope. The necking limits seem to be highly dependent on the test shapes and forming parameters. It is concluded that standardisation in both testing conditions and the evaluation procedures is necessary, and that a forming limit curve does not seem to be an appropriate tool to predict the feasibility of a given part design.

Visual method for measuring forming limit curve of pliable composite film

2021 ◽  
Vol 0 (0) ◽  
pp. 1-12
Author(s):  
CHEN Ren-hong ◽  
◽  
◽  
LIANG Jin ◽  
YE Mei-tu ◽  
...  
Keyword(s):  
Composite Film ◽  
Forming Limit ◽  
Limit Curve ◽  
Forming Limit Curve ◽  
Visual Method
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