Backlund Transformations and Superposition Principles in Nonlinear Elastodynamics

被引：8
|
作者：
Rogers, C. [1 ]
Schief, W. K.
机构：
[1] Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China
来源：
STUDIES IN APPLIED MATHEMATICS | 2010年 / 124卷 / 02期
关键词：
LARGE-AMPLITUDE WAVES; IMPULSIVELY LOADED SLAB; BOUNDED MEDIA; DEFORMATION; SYSTEMS;
D O I：
10.1111/j.1467-9590.2009.00465.x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A Backlund transformation is presented which allows the construction of model nonlinear elastic laws associated with a reduction of the uniaxial Lagrangian elastodynamic system to the canonical form adopted for the classical Hooke's law. A nonlinear superposition principle for the iterative generation of such elastic laws is recorded.
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页码：137 / 149
页数：13
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