Hencky Strain and Hencky Model: Extending History and Ongoing Tradition

Abstract

A finite strain measure and a Hookean type finite hyperelastic model based on it were introduced by H. Hencky (1928, 1929) about seventy‐five years ago. About tweenty‐five years later, an objective Eulerian equation of rate form was established by C. Truesdell (1952, 1955) for a rate type extension of Hooke’s law to finite deformations. Originating from these, a history is constantly extending and a tradition is continuing to develop in constitutive modeling of elastic and inelastic behaviour at finite deformations. In a short story consisting of five parts, we would like to relate selected episodes and events in some relevant aspects. Our main objective is to disclose unexpected, perhaps interesting, intrinsic relationships between these independent creations by two great masters and to expound how and why these relationships play essential roles in understanding and clarifying fundamental issues in Eulerian rate theories of finite elastoplasticity

Citation

Xiao, H. (2005), "Hencky Strain and Hencky Model: Extending History and Ongoing Tradition", Multidiscipline Modeling in Materials and Structures, Vol. 1 No. 1, pp. 1-52. https://doi.org/10.1163/1573611054455148