The Cauchy problem in the theory of plates with transverse shear deformation

被引：11
|
作者：
Chudinovich, I
Constanda, C [1 ]
机构：
[1] Kharkov State Univ, Dept Math & Mech, UA-310077 Kharkov, Ukraine
[2] Univ Strathclyde, Dept Math, Glasgow G1 1XH, Lanark, Scotland
来源：
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2000年 / 10卷 / 04期
关键词：
D O I：
10.1142/S0218202500000264
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Cauchy problem for an infinite plate with transverse shear deformation is studied by means of an area potential and some special initial potentials. This is a fundamental step in the construction of the potential theory for dynamic problems for plates, since such results make it possible to reduce various initial-boundary value problems for the equations of motion to analogous ones for the homogeneous system, which can then be solved by means of retarded potentials.
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页码：463 / 477
页数：15
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