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An inverse approach to determine the nonlinear properties of induction heat-treated steels. (English) Zbl 0991.74034

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.

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
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