Victor Berdichevsky

Victor Berdichevsky

Professor Emeritus, Mechanical Engineering

vberd@eng.wayne.edu
313-577-3905

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Victor Berdichevsky

Publications

Older Publications

MICROMECHANICS

HOMOGENIZATION

STATISTICAL MECHANICS

TURBULENCE

VARIATIONAL PRINCIPLES

  • Berdichevsky, V., Variational Principles of Continuum Mechanics, Publishing House "Nauka" of the Academy of Science of the USSR, 446 pp., 1983.
  • Berdichevsky, V., "Construction of Models of Continuous Media by Means of the Variational Principle," J. Appl. Math. Mech. (PMM), Vol. 30, No. 3, pp. 607-629, 1966
  • Berdichevsky, V., "Use of Variational Methods in Constructing Models of Continuous Media with Irreversible Processes in the Special Theory of Relativity," J. Appl. Math. Mech. (PMM), Vol. 30, No.6, pp. 1282-1287, 1966.
  • Berdichevsky, V., "Variational Equation of Continuum Mechanics," in: Problems of Solid Mechanics, Anniversary volume for the 60th Birthday of Academician V. Novozhilov, Sudostroyeniye, Leningrad, 1970.
  • Berdichevsky, V., "A Variational Principle," Soviet Physics - Doklady, Vol. 19, No. 4, pp. 188-190, 1974.
  • Sedov, L. and Berdichevsky, V., "Extracting of Real Processes from the Optional Ones," in : Science and Mankind, Znanie, Moscow, 1976.
  • Berdichevsky, V., "Variational-Asymptotic Method," in: Some Problems of Continuum Mechanics, Anniversary volume for the 70th Birthday of Academician L. Sedov, Moscow University Publishing, Moscow, pp. 271-289, 1978.
  • Berdichevsky, V. and Misyura, V., "On a Dual Variational Principle in Geometrically Nonlinear Elasticity Theory," J. Appl. Math. Mech., Vol. 43, No. 2, pp. 343-351, 1979.
  • Berdichevsky, V., "Variational Principles for Distribution Function," in: Problems of Nonlinear Continuum Mechanics, Tallin, 1985.
  • Berdichevsky, V., "On a Variational Principle of Statistical Mechanics," Mechanical Bulletin of Moscow University, pp. 8-14, 1987.
  • Variational principle in dynamics of a vortex filament. Physical Review E 78, 036304 2008.
  • On variational features of vortex flows. Continuum Mechanics and Thermodynamics (2008) 20: 219.229 DOI 10.1007/s00161-008-0079-8

SHELL THEORY

BEAM THEORY

SAINT-VENANT'S PRINCIPLE

MISCELLANEOUS

  • Berdichevsky, V., "On the Force Acting on a Body in Viscous Fluids," J. Appl. Math. Mech.(PMM), Vol. 45, No. 5, pp. 628-631, 1981.
  • Berdichevsky, V., "On Nonlinear Tensor Functions in Relativity Theory "J. Appl. Math. Mech. (PMM), Vol. 31, No. 1, pp. 203-206, 1967.
  • Berdichevsky, V. and Berdichevsky, A., "Proof of the Polia Hypothesis," Soviet Physics - Doklady, Vol. 20, No. 9, pp. 614-615, 1975.
  • Berdichevsky, V., "Form of Minimum-Drag Body in Hypersonic Gas Flow," Moscow University Mechanics Bulletin, Vol. 30, No. 3-4, pp. 13-18, 1975.
  • Berdichevsky, V., "Melt Nuclei in a Solid," Transactions of Academy of Science of the USSR, pp. 1-4, 1984.
  • Berdichevsky, V., "Determination of the Width of a Boundary Layer from the Condition of Minimum Energy," Mechanics of Solids, No. 2, pp. 173-176, 1983.
  • Feynman, J.,Ruzmaikin,A., Berdichevsky, V.,The JPL proton fluence model: an update, J. of Atmospheric and Solar-Terrestrial Physics,p.1-8,2000