Research Papers

A Nonlinear Damage Model of Hardening-Softening Materials

[+] Author and Article Information
M. Ganjiani

Department of Mechanical Engineering,
College of Engineering,
University of Tehran,
P.O. Box 11155-4563,
Tehran 1439957131, Iran
e-mail: ganjiani@ut.ac.ir

Contributed by the Materials Division of ASME for publication in the JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY. Manuscript received August 22, 2016; final manuscript received June 24, 2017; published online September 13, 2017. Assoc. Editor: Huiling Duan.

J. Eng. Mater. Technol 140(1), 011010 (Sep 13, 2017) (11 pages) Paper No: MATS-16-1233; doi: 10.1115/1.4037656 History: Received August 22, 2016; Revised June 24, 2017

In this paper, an elastoplastic-damage constitutive model is presented. The formulation is cast within the framework of continuum damage mechanics (CDM) by means of the internal variable theory of thermodynamics. The damage is assumed as a tensor type variable and its evolution is developed based on the energy equivalence hypothesis. In order to discriminate the plastic and damage deformation, two surfaces named as plastic and damage are introduced. The damage surface has been developed so that it can model the nonlinear variation of damage. The details of the model besides its implicit integration algorithm are presented. The model is implemented as a user-defined subroutine user-defined material (UMAT) in the abaqus/standard finite element program for numerical simulation purposes. In the regard of investigating the capability of model, the shear and tensile tests are experimentally conducted, and corresponding results are compared with those predicted numerically. These comparisons are also accomplished for several experiments available in the literature. Satisfactory agreement between experiments and numerical predictions provided by the model implies the capability of the model to predict the plastic deformation as well as damage evolution in the materials.

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Fig. 1

Dimensions of the specimen used in the tensile test (mm)

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Fig. 2

The specimen of shear test (dimensions are in millimeters)

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Fig. 3

The experimental and simulated tensile data for aluminum 2024-T3 [14]: (a) stress–strain and (b) damage-strain curves

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Fig. 4

The parameter η as the slop of the line In D˙2/D˙1 versus ε1 for aluminum 2024-T3 [14]

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Fig. 5

Four types of meshing used for the shear simulation: (a) 152, (b) 316, (c) 504, and (d) 602 elements

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Fig. 6

Load–displacement curve of shear specimen

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Fig. 7

Deformed shear specimen of aluminum 2024-T3. Distribution of: (a) stress, (b) effective plastic strain, (c) accumulated damage, and (d) experiment.

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Fig. 8

Predicted results compared with experimental data in tensile test for aluminum 2024-T3 [23]: (a) stress–strain, (b) damage-strain, and (c) determination of parameter η

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Fig. 9

Comparison between the predicted results and experimental data via (a) stress–strain and (b) damage-strain curves




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