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DOE OSTI · 1575406

A method for smoothing multiple yield functions

Wilkins, Andy·Spencer, Benjamin W.·Jain, Amit·Gencturk, Bora
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Abstract

A method is presented that produces a single C 2 differentiable and convex yield function from a plastic model that contains multiple yield surfaces that are individually C 2 differentiable and convex. The method is suitable for implementation in numerical computer codes. Here, the error incurred through the smoothing procedure is quantified. The method is illustrated through a number of examples. Two simple finite-element models are solved to compare this method with existing approaches.

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42 ENGINEERING97 MATHEMATICS AND COMPUTINGDifferentiabilityFinite ElementPlasticityReturn-map algorithmYield function

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BibTeXRIS

Wilkins, Andy, Spencer, Benjamin W., Jain, Amit, Gencturk, Bora. 2019-09-04. A method for smoothing multiple yield functions. https://doi.org/10.1002/nme.6215

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