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Damage is a progressive physical process that results in fracture. Recently, study of damage and failure in materials, particularly ductile metals has been of great importance for mechanical and structural engineers. So far, numerous criteria have been presented to predict damage behavior in ductile metals, each criterion is known by its advantages, disadvantages, and accuracy. One of the most famous models has been proposed by Lemaitre which is an accurate model and requires only one parameter to attain damage behavior of materials. In this article, employing the Lemaitre's ductile damage criterion, a new explicit, simple, and quick method is suggested to numerically determine the Lemaitre's damage parameter and damage behavior of ductile metals. This approach is much easier and cheaper than former conventional experimental methods because only needs a simple standard tensile test. Accuracy of the current numerical approach is validated through the experimental tests such as the standard, single and double notched tensile tests, and also the Nakazima fracture test. The numerical simulation results show suitable accuracy together with negligible percentage of error and perfect correlation in comparison with the experimental results.

A simple and accurate method for numerically determining the Lemaitre’s damage parameter in ductile metals