Shape derivative - Open Access .click

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On the Accuracy of Shape Sensitivity Derivatives

1989
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.
Raphael T. Haftka, Bruno Barthelemy
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Shape derivatives for nonsmooth domains

2006
The object of this paper is to study the Shape gradient and the Shape Hessian by the Velocity (Speed) Method for arbitrary domains with or without constraints. It makes the connection between methods using a family of transformations such as first or second order Perturbations of the Identity Operator.
M. C. Delfour, J. P. Zolésio
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Shape Derivatives for Linear Problems

1992
In this chapter the form of the material derivatives and the shape derivatives for linear boundary value problems as well as initial boundary value problems is derived.
Jan Sokolowski, Jean-Paul Zolesio
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Application of a mode shape derivative-based damage index in artificial neural network for structural damage identification in shear frame building