On Dual Conservation Laws in Linear Elasticity: Stress Function Formalism |
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| Authors: | Shaofan Li |
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| Institution: | (1) Department of Civil and Environmental Engineering, University of California, Berkeley, CA, 94720, U.S.A. |
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| Abstract: | Dual conservation laws of linear planar elasticity theory have been systematically studied based on stress function formalism. By employing generalized symmetry transformation or the Lie—Bäcklund transformation, a class of new dual conservation laws in planar elasticity have been discovered based on the Noether theorem and its Bessel—Hagen generalization. The physical implications of these dual conservation laws are discussed briefly. |
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| Keywords: | conservation laws elasticity J-integral Lie group Lie— B?cklund transformation |
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