Abstract
Six methods for calculating shape sensitivity derivatives are compared for a two-material beam problem with a moving interface. It is found that as the finite-element mesh is refined, displacement sensitivity derivatives converge more slowly that the displacement themselves. Five of the methods agree fairly well, but the adjoint variational surface method provides substantially different results. However, the difference is found to reflect convergence from another direction to the same answer, rather than reduced accuracy.
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References
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© 1989 Springer-Verlag Berlin, Heidelberg
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Haftka, R.T., Barthelemy, B. (1989). On the Accuracy of Shape Sensitivity Derivatives. In: Eschenauer, H.A., Thierauf, G. (eds) Discretization Methods and Structural Optimization — Procedures and Applications. Lecture Notes in Engineering, vol 42. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83707-4_18
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DOI: https://doi.org/10.1007/978-3-642-83707-4_18
Publisher Name: Springer, Berlin, Heidelberg
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