Journal
INTERNATIONAL JOURNAL OF PLASTICITY
Volume 137, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijplas.2020.102886
Keywords
Forming limits; Neural networks; Non-proportional loading; Ductile failure; Localization
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The Forming Limit Curve (FLC) is influenced by various factors including yield locus, hardening behavior, strain rate, etc. A neural network model has been demonstrated as an efficient method to describe the effect of non-proportional loading and predict the FLC for a given proportional pre-straining history.
The Forming Limit Curve (FLC) describes the maximum in-plane strains that can be applied to sheet metal before necking initiates. It is well known that the FLC depends on the yield locus, the hardening behavior, strain rate, temperature, superposed out-of-plane stresses and the shape of the loading path. There is an infinite number of possible paths for reaching a particular state of strain which makes the formulation of simple analytical models predicting the effect of non-linear loading paths on the FLC particularly challenging. Here, it is demonstrated that a neural network model is able to provide a computationally-efficient approach to describe the effect of non proportional loading. A finite-element-based Marciniak-Kuczynski model is developed to characterize the forming limits of a DP780 steel through virtual experiments. Subsequently, a large data base is generated to serve as a basis for machine learning. Using a standard backpropagation algorithm with Bayesian regularization, a compact neural network model is trained and tested based on the results from virtual experiments. Even though the experimental data base includes only a finite number of random loading paths, the results show that the neural network model is able to predict the FLCs for a given proportional pre-straining history.
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