Anisotropic Plasticity and Application to Plane Stress
Plasticity is the ability of a material to deform in an irreversible manner. Unlike elasticity for which deformations are reversible, plasticity leads to permanent shape changes after a sufficient load is applied to a material. Anisotropic plasticity is the dependence of plastic properties on the loading direction. For plane stress states, loading is defined using only three stress components out of six for a general stress tensor. The description of plastic anisotropy for plane stress states is simpler than for general stress states but it has a wide range of practical applications in processes such as sheet forming.
In uniaxial tension, the stress-strain behavior of metals and alloys at low strain is, at first order, reversible and linear. This behavior is well described by Hooke’s law, in which the stress is proportional to the strain through the elastic modulus E. This law can be generalized to all...
The authors gratefully acknowledge the supports of POSCO and the Global Innovation Research Organization in TUAT for this entry. In addition, the authors are indebted to Dr. Tomoyuki Hakoyama (The RIKEN) for help with the parameter identification analysis in section “Application to Steel”.
- Hakoyama T, Kuwabara T (2015) Effect of biaxial work hardening modeling for sheet metals on the accuracy of forming limit analyses using the Marciniak-Kuczynski approach. In: Altenbach H, Matsuda T, Okumura D (eds) From creep damage mechanics to homogenization methods. Springer, Cham, pp 67–95CrossRefGoogle Scholar
- Hanabusa Y, Takizawa H, Kuwabara T (2010) Evaluation of accuracy of stress measurements determined in biaxial stress tests with cruciform specimen using numerical method. Steel Res Int 81:1376–1379Google Scholar
- Hecker SS (1976) Experimental studies of yield phenomena in biaxially loaded metals. In: Stricklin JA, Saczalski KH (eds) Constitutive equations in viscoplasticity: computational and engineering aspects. ASME, New York, pp 1–33Google Scholar
- Ikegami K (1979) Experimental plasticity on the anisotropy of metals. In: Boehler JP (ed) Mechanical behavior of anisotropic solids. Proceedings of the Euromech Colloquim 115 Colloques Inter, du CNRS Paris, pp 201–242Google Scholar
- ISO 10113 (2006) Metallic materials—sheet and strip—determination of plastic strain ratioGoogle Scholar
- ISO 10275 (2007) Metallic materials—sheet and strip—determination of tensile strain hardening exponentGoogle Scholar
- ISO 6892-1 (2009) Metallic materials—tensile testing—Part 1: Method of test at room temperatureGoogle Scholar
- ISO 16808 (2014a) Metallic materials—sheet and strip—determination of biaxial stress-strain curve by means of bulge test with optical measuring systemsGoogle Scholar
- ISO 16842 (2014b) Metallic materials −Sheet and strip −Biaxial tensile testing method using a cruciform test pieceGoogle Scholar
- Noma N, Kuwabara T (2012) Specimen geometry optimization for in-plane reverse loading test of sheet metal and experimental validation. Steel Res Int, Special Edition: 14th Metal Forming:1283–1286Google Scholar