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力学学报  1991 

THE TRANSFORMATION OF THE PAPKOVICH-NEUBER (P-N) GENERAL SOLUTION AND OTHERS
Papkovich-Neuber(P-N)通解的互逆公式及其它

Keywords: general solution,transformation,convex region
P-N解
,通解,互逆,凸域

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Abstract:

In this note the completeness of P-N solution is proved. The proof is basedupon constructing the transformation of the P-N solution. It is shown that the theorem of E-S convex region can be automatically derived by using any harmonic function which is included in the transformation and represents zero displacement field. In addition, the general solution of plane strain problems can also be obtained directly from the same transformation.

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