The virial stress is not a measure of mechanical stress

Materials Research Society Symposium - Proceedings

Volumn 731, Issue , 2002, Pages 59-70

  Zhou, Min ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

KINETIC ENERGY; KINETIC THEORY; MOLECULAR DYNAMICS; PRESSURE EFFECTS; STATISTICAL METHODS; STRESS ANALYSIS; TENSORS;

VIRIAL STRESS;

MATERIALS SCIENCE;

EID: 0036454364     PISSN: 02729172     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1557/proc-731-w2.6     Document Type: Conference Paper

References (11)

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2. Clausius, R. 1870 On a mechanical theory applicable to heat. Phil. Mag., 40, 122-127.
3. Huang, K. 1950 On the atomic theory of elasticity. Proc. Roy. Soc. A, 203, 178-194.
4. Jeans, J.H. 1967 An introduction to the kinetic theory of gases, 70-73, Cambridge University Press.
5. Lutsko, J.F. 1988 Stress and elastic constants in anisotropic solids: molecular dynamic techniques. J. Appl. Phys., 64(3), 1152-1154.
6. Malvern, L.E. 1969 Introduction to the mechanics of a continuous medium, 213-224, Prentice-Hall.
7. Rowlinson, J.S. & Widom, B. 1982 Molecular theory of capillarity, Clarendon, Oxford, 85.
8. Truesdell, C. & Toupin, R.A. 1960 The classical field theories, Encyclopedia of Physics, ed. Flügge, 3/1, 226-273, Berlin: Springer-Verlag.
9. Tsai, D.H. 1979 The virial theorem and stress calculation in molecular dynamics, J. Chem. Phys., 70(03), 1375-1382.
10. Zhou, M. 2001, A new look at the atomic level vidal stress-on continuum-molecular system equivalence, submitted to Proc. Roy. Soc. Lond. A.
11. Zhou, M. & McDowell, D.L. 2002 Equivalent continuum for dynamically deforming atomistic particle systems, to appear in Phil. Mag. A.