1992
DOI: 10.1002/nme.1620340311
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Second order approximations in structural genesis and shape finding

Abstract: The introduction of second order sensitivities to behaviour approximation in structural optimization is applied and investigated. Numerical computation of second derivatives is considered and evaluated. Two approaches in shape optimization are involved, namely shape finding by moving boundaries and shape genesis by distributing mass in a specified design domain. A series of examples is engaged to work out the benefits of second order information in both the above fields.

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Cited by 10 publications
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