Meriç, R. A. Sensitivity analysis for a general performance criterion in micropolar thermoelasticity. (English) Zbl 0604.73012 Int. J. Eng. Sci. 25, 265-276 (1987). The sensitivity analysis of a general performance criterion characterizing an inverse problem in micropolar thermoelasticity is performed by the adjoint variable method with respect to the decision variables which involve material characteristic and loading functions. A 2-dim. load optimization problem for an elastic solid body is numerically investigated as an example problem. Cited in 1 Review MSC: 74F05 Thermal effects in solid mechanics 74S30 Other numerical methods in solid mechanics (MSC2010) 93B35 Sensitivity (robustness) 74B99 Elastic materials 74H99 Dynamical problems in solid mechanics Keywords:steady-state conditions; integral functional involving state and decision variables; general performance criterion; inverse problem; micropolar thermoelasticity; adjoint variable method; 2-dim. load optimization problem Software:NAG PDFBibTeX XMLCite \textit{R. A. Meriç}, Int. J. Eng. Sci. 25, 265--276 (1987; Zbl 0604.73012) Full Text: DOI References: [1] Eringen, A. C.; Suhubi, E. S., Int. J. Engng Sci., 2, 189 (1964) [2] Suhubi, E. S.; Eringen, A. C., Int. J. Engng Sci., 2, 389 (1964) [3] Eringen, A. C., J. Math. Mech., 15, 909 (1966) [4] Fletcher, R.; Harley, P. J., IMA J. Appl. Math., 28, 93 (1982) [5] Meriç, R. A., Int. J. Numer. Meths. Engng, 14, 1851 (1979) [6] Meriç, R. A., Trans. ASME, J. Heat Transfer, 106, 876 (1984) [7] Meriç, R. A., Trans. ASME, J. Heat Transfer, 107, 508 (1985) [8] Meriç, R. A., Trans. ASME, J. Appl. Mech., 52, 363 (1985) [9] Meriç, R. A., Int. J. Engng Sci., 23, 1101 (1985) [10] Meriç, R. A., J. Thermal Stresses, 8, 333 (1985) [11] Meriç, R. A., Numer. Heat Transfer, 9, 163 (1986) [12] Kubrusly, C. S., Int. J. Control, 26, 509 (1977) [13] Ohnaka, K.; Uosaki, K., Int. J. Control, 41, 981 (1985) [14] Hoeksema, R. J.; Kitanidis, P. K., Water Resources Res., 20, 1003 (1984) [15] Busby, H. R.; Trujilla, D. M., Int. J. Numer. Meths. Engng, 21, 349 (1985) [16] Eringen, A. C., Theory of Micropolar Elasticity, (Liebowitz, H., Fracture, Vol. 2 (1968), Academic Press: Academic Press New York), 622-729, Chap. 7. · Zbl 0145.21302 [17] Dems, K.; Mroz, Z., Int. J. Solids Structures, 19, 677 (1983) [18] Arora, J. S.; Haug, E. J., AIAA J., 17, 970 (1979) [19] Zienkiewicz, O. C., The Finite Element Method (1977), McGraw-Hill: McGraw-Hill New York · Zbl 0435.73072 [20] The NAG Library, Mark 11, Numerical Algorithms Group, Oxford, England (1983).; The NAG Library, Mark 11, Numerical Algorithms Group, Oxford, England (1983). This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.