On the inverse Noether's theorem in nonlinear micropolar continua.

Autor:	Jarić, JovoP., Kuzmanović, DragoslavS., Golubović, ZoranD.J., Dulikravich, GeorgeS.
Předmět:	INVERSE problems NOETHER'S theorem NONLINEAR theories CONTINUATION methods MATHEMATICAL transformations CONSERVATION laws (Mathematics) ELECTROSTATICS
Zdroj:	Inverse Problems in Science & Engineering; Apr2012, Vol. 20 Issue 3, p423-443, 21p
Abstrakt:	In this article, the modified Noether's theorem is established in general form. Then, the inverse theorem is used in nonlinear micropolar continua in order to derive one-parameter family of transformations under which the corresponding functional is invariant. Next, the conservation laws are written. They include, as a special case, the conservation laws of micropolar elastostatics, the balance laws of elastodynamics and elastostatics. We do not analyse any of these special cases, because they may be obtained very easily. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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