Vol. 2, No. 5, 2007

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ISSN: 1559-3959
Two complementary trios material model and experimental simulations of SAE 4340 and RHA

Chein-Shan Liu, Hong-Ki Hong and Ya-Po Shiao

Vol. 2 (2007), No. 5, 793–827
Abstract

A two-complementary-trio material model for cyclic plasticity is proposed in this paper. In this formulation we consider a contact surface to confine the motion of contact stress. While the on-off switching criteria of plasticity are derived from the first complementary trio, the switching criteria of kinematic hardening rules are derived according to the second complementary trio. In terms of the new concept of contact stress and contact surface, it becomes easier to derive the governing rule of back stress during the contact of yield surface and bounding surface. The validity of the new model is confirmed by comparing the computational results with the experimental data for materials of SAE 4340 and RHA under uniaxial cyclic tests and biaxial cyclic tests. Even though the material constants used in the new model are parsimonious (with only 12), it is immediately recognized that the cyclic response curves described by the new model are in good agreement with the experimental data.

Keywords
cyclic plasticity, two complementary trios
Milestones
Received: 26 June 2006
Accepted: 9 October 2006
Published: 1 July 2007
Authors
Chein-Shan Liu
Department of Mechanical and Mechatronic Engineering
No.2, Beining Road
Taiwan Ocean University
Keelung 202-24, Taiwan
Hong-Ki Hong
Department of Civil Engineering
No.1, Sec. 4, Roosevelt Road
Taiwan University
Taipei 106-17, Taiwan
Ya-Po Shiao
Department of Computer Science and Information Engineering
Mingdao University
Changhua, Taiwan