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Inverse Problems in Science and Engineering Volume 20, 2012 - Issue 3
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Original Articles

On the inverse Noether's theorem in nonlinear micropolar continua

Jovo P. JarićFaculty of Mathematics, University of Belgrade, Jagićeva 5, 11000 Belgrade, Serbia
,
Dragoslav S. KuzmanovićFaculty of Transport and Traffic, University of Belgrade, Vojvode Stepe 305, 11000 Beograd, Serbia
,
Zoran D.J. GolubovićFaculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11000 Beograd, Serbia
&
George S. DulikravichDepartment of Mechanical and Materials Engineering, Florida International University, 10555 W. Flagler St., Miami, FL, USA
Pages 423-443 | Received 21 Feb 2011, Accepted 08 Feb 2012, Published online: 18 Apr 2012

References

  • Knowles, JK, and Sternberg, E, 1972. On a class of conservation laws in linearized and finite elasticity, Arch. Rational Mech. Anal. 44 (1972), pp. 187–211.
  • Fletcher, DC, 1976. Conservation laws in linear elastodynamics, Arch. Rational Mech. Anal. 60 (1976), pp. 329–353.
  • Jarić, J, 1978. Conservation laws of J-integral type in micropolar elastostatics, Internat. J. Engrg. Sci. 16 (1978), pp. 967–984.
  • Toupin, RA, 1964. Theories of elasticity with couple-stress, Arch. Rational Mech. Anal. 17 (1964), pp. 84–112.
  • Eringen, CA, and Suhubi, ES, 1954. Nonlinear theory of simple micro-elastic solids-I, Internat. J. Engrg. Sci. 2 (1954), pp. 189–203.
  • Eringen, CA, 1976. "Polar and Nonpolar Field Theories". In: in Continuum Physics. Vol. IV. New York, San Francisco, London: Academic Press; 1976.
  • Rice, JR, 1968. A path independent integral and the approximate analysis of strain concentrations by notches and cracks, J. Appl. Mech. 35 (2) (1968), pp. 379–386.
  • Noether, E, 1918. Invariante Variationsprobleme, Grittinger Nachrichten 3 (1918), pp. 235–257.

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