THE TRANSFORMATION OF THE PAPKOVICH-NEUBER (P-N) GENERAL SOLUTION AND OTHERS
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摘要: 本文构造出了P-N解的互逆公式从而较简捷地证明了P-N解的完备性。利用互逆公式中自动包含的反映零位移场的任意调和函数,可以自然地引出“E-S 凸域定理”,此外,平面应变问题通解也是互逆公式的直接结果。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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Key words:
- general solution /
- transformation /
- convex region
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