Abstract
First- and second-order sensitivity analysis for problems described by equations of harmonic and biharmonic type is briefly discussed for an arbitrary functional and the arbitrary modification of the domain external boundary. Next the three fundamental domain transformations are considered and associated path-independent integrals are presented.
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References
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Dems, K. First- and second-order sensitivity analysis and conservation rules in harmonic and biharmonic problems. Structural Optimization 9, 258–261 (1995). https://doi.org/10.1007/BF01743980
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DOI: https://doi.org/10.1007/BF01743980