Niclas, André; Bourgeois, Lament An inverse approach to determine the nonlinear properties of induction heat-treated steels. (English) Zbl 0991.74034 Eur. J. Mech., A, Solids 19, No. 1, 69-88 (2000). Summary: We describe the identification of through-the-thickness variation of nonlinear properties of a steel structure due to a heat treatment by induction. An inverse approach to this problem is proposed, which is based on a four-point bending test of a heat-treated parallelepipedic bar. It includes a layer removal method for measuring residual stresses. Precisely, we describe two different inverse methods. For a medium carbon steel, an application based on experimental data is performed, which shows the efficiency of our approach and a good agreement between the two methods. Cited in 1 Document MSC: 74G75 Inverse problems in equilibrium solid mechanics 74F05 Thermal effects in solid mechanics 74C05 Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) 78A55 Technical applications of optics and electromagnetic theory Keywords:plasticity; \(X\)-ray diffraction; identification; nonlinear properties; inverse approach; four-point bending test; heat-treated parallelepipedic bar; layer removal method; residual stresses; medium carbon steel PDFBibTeX XMLCite \textit{A. Niclas} and \textit{L. Bourgeois}, Eur. J. Mech., A, Solids 19, No. 1, 69--88 (2000; Zbl 0991.74034) Full Text: DOI