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Sensitivity analysis for transient heat conduction in a solid body —Part I: External boundary modification

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Abstract

A transient hat conduction problem within a thermal anisotropic solid body is formulated. Considering an arbitrary thermal functional defined over space and time domains, its first-order sensitivities with respect to variation of structural material parameters as well as external boundary are derived using the direct and adjoint approaches.

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Dems, K., Rousselet, B. Sensitivity analysis for transient heat conduction in a solid body —Part I: External boundary modification. Structural Optimization 17, 36–45 (1999). https://doi.org/10.1007/BF01197711

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