跳至主要内容

On the Definition of State Variables for an Internal State Variable Constitutive Model Describing Metal Deformation

Read full paper at:
http://www.scirp.org/journal/PaperInformation.aspx?PaperID=47500

Author(s) 
The quest for an internal state variable constitutive model describing metal deformation is reviewed. First, analogy is drawn between a deformation model and the Ideal Gas Law. The use of strain as a variable in deformation models is discussed, and whether strain serves as an internal state variable is considered. A simple experiment that demonstrated path dependence in copper is described. The importance of defining appropriate internal state variables for a constitutive law relates to the ability to accurately model temperature and strain-rate dependencies in deformation simulations.
Cite this paper
Follansbee, P. (2014) On the Definition of State Variables for an Internal State Variable Constitutive Model Describing Metal Deformation. Materials Sciences and Applications, 5, 603-609. doi: 10.4236/msa.2014.58062
 

[1] Follansbee, P.S. (2014) Fundamentals of Strength—Principles, Experiment, and Application of an Internal State Variable Constitutive Model. the Minerals, Metals, & Materials Society, John Wiley & Sons, Inc., Hoboken.
[2] Abbott, M.M. and Van Ness, H.C. (1972) Thermodynamics (Schaum’s Outline Series). McGraw-Hill Book Co., New York.
[3] Johnson, G.R. and Cook, W.H. (1983) A Constitutive Model and Data for Metals Subjected to Large Strains, High Strain Rates, and High Temperatures. Proceedings 7th International Symposium on Ballistics, The Hague, 19-21 April 1983, 541-547.
[4] Follansbee, P.S. (1988) The Rate Dependence of Structure Evolution in Copper and Its Influence on the Strain Strain Behavior at Very High Strain Rates. In: Chiem, C.Y., Kunze, H.-D. and Meyer, L.W., Eds., Impact Loading and Dynamic Behaviour of Materials, Verlag, Berlin, 315-322.
[5] Kocks, U.F, Argon, A.S. and Ashby, M.F. (1975) Thermodynamics and Kinetics of Slip. In: Chalmers, B., Christian, J.W. and Massalski, T.B., Eds., Progress in Materials Science, Pergamon Press, Oxford.
[6] Mecking, H. and Kocks, U.F. (1981) Kinetics of Flow and Strain-Hardening. Acta Metallurgica, 29, 1865-1875.
http://dx.doi.org/10.1016/0001-6160(81)90112-7
[7] Edington, J.W. (1969) The Influence of Strain Rate on the Mechanical Properties and Dislocation Substructure in Deformed Copper Single Crystals. Philosophical Magazine, 19, 1189-1206.
http://dx.doi.org/10.1080/14786436908228644
[8] Follansbee, P.S. and Kocks, U.F. (1988) A Constitutive Description of the Deformation of Copper Based on the Use of the Mechanical Threshold Stress as an Internal State Variable. Acta Metallurgica, 36, 81-93.
http://dx.doi.org/10.1016/0001-6160(88)90030-2
[9] Lindholm, U.S. (1978) Deformation Maps in the Region of High Dislocation Velocity. In: Kawata, K. and Shiori, J., eds., High Velocity Deformation of Solids, Springer-Verlag, New York, 26-34.
[10] Barbe, F., Decker, L., Jeulin, D. and Cailletaud, G. (2001) Intergranular and Intragranular Behavior of Polycrystalline Aggregates. Part 1: F. E. Model. International Journal of Plasticity, 17, 513-536.
http://dx.doi.org/10.1016/S0749-6419(00)00061-9
[11] Arsenlis, A. and Parks, D.M. (2002) Modeling the Evolution of Crystallographic Dislocation Density in Crystal Plasticity. Journal of the Mechanics and Physics of Solids, 50, 1979-2009.
http://dx.doi.org/10.1016/S0022-5096(01)00134-X
[12] Horstemeyer, M.F., Baskes, M.I., Prandil, V.C., Philliber, J. and Vonderheide, S. (2003) Amultiscale Analysis of Fixed-End Simple Shear Using Molecular Dynamics, Crystal Plasticity, and a Macroscopic Internal State Variable Theory. Modelling and Simulation in Materials Science and Engineering, 11, 265-286.
http://dx.doi.org/10.1088/0965-0393/11/3/301                  eww141104lx

评论

此博客中的热门博文

Does Immigration Promote the Investment of the Monopolistic Firm?

In the present paper, we examine the effect of increasing uncertainty of immigrants’ growth on the optimal timing of investment of a firm that has a monopolistic power over the labor market. It is revealed that when the uncertainty of immigrants’ growth is more than a threshold level, increasing uncertainty of immigrants’ growth accelerates the optimal timing of firms’ investment and enhances the economic growth, even if the uncertainty of immigrants’ growth is formulated by the geometric Brownian motion, which is in sharp contrast to the standard result that an increase in the uncertainty postpones the optimal timing. With an increase in the immigrants over the past ten years, workforces in the host countries have been growing significantly to the extent that the immigrants represent 70% of the increase in the workforce in Europe, and 47% in the United States as OECD indicates. In the present paper, we attempted to investigate the effect of increased uncertainty caused by the growi...

Education Policy Implementation: A Mechanism for Enhancing Primary Education Development in Zanzibar

Education is one of the fundamental rights of individuals; therefore, the government of a country needs to develop and strengthen educational policy and quality as well as to ensure that everyone has equal access to basic education. The improvement of access and quality of education in the world is becoming as an essential factor in development, whereas the basic education (primary school), is acknowledged as a foundation of the higher educational development for every country. To fulfill this goal, governments introduce several policies and procedures; however, it requires some reforms and participation from the politician, policymakers, and other stakeholders to re-examine educational policy so that it can lead to multiplication and betterment of the reforms. Educational reforms actually focus on accountability. A positive educational development and reform is very challenging and needs more effort and strategy on how to use and utilize the resources effectively as such it can achie...