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Revisit of Kelvin solution Y. J. Lee, Y. T. Lee, S. R. Kuo & J. T. Chen Complex variabl e Y. Z. Chen Quantum theory PDE FT Inverse FT Hörmander method Circle & Ellipse (Y. Z. Chen) Circle ( W. J. He) Y. Z. Chen Evaluation of the degenerate scale BIE in plane elasticity and antiplane elasticity by using conformal mapping. EABE(2009) W. J. He Non-equivalence of conventional boundary integral formulation and its elimination for plane elasticity problems. Comput Struct(1996) 20140603-WenShen Revisit of Kelvin solution.ppt ,, 1 (,) (3 4 )l 0 n ) .5 ( 8(1 ) ij i i i j j j U sx r rr G ,, 1 (,) (3 4 )ln() 8(1 ) ij ij i j U sx r rr G 2ln d a b R a b or 2ln 1 c d R or 3 4 2 , d c d a b R R Radius when a b 2ln d a b R a b 2ln 1 c d R ? ? ? ?

Revisit of Kelvin solution Y. J. Lee, Y. T. Lee, S. R. Kuo & J. T. Chen

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Revisit of Kelvin solution Y. J. Lee, Y. T. Lee, S. R. Kuo & J. T. Chen. Quantum theory. Complex variable Y. Z. Chen. Circle & Ellipse (Y. Z. Chen). Circle ( W. J. He). Hörmander method. PDE FT Inverse FT. - PowerPoint PPT Presentation

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Page 1: Revisit of Kelvin solution Y. J. Lee,  Y. T.  Lee, S. R.  Kuo &  J. T. Chen

, ,

1( , ) (3 4 ) l 0n ) .5(

8 (1 )ij i ii jj jU s x r r rG

, ,

1( , ) (3 4 ) ln( )

8 (1 )ij ij i jU s x r r rG

2 ln d

a bR

a b

or

2 ln 1cdR or

3 4

2

,

d

cd

a bR

R Radius when a b

Revisit of Kelvin solutionY. J. Lee, Y. T. Lee, S. R. Kuo & J. T. Chen

Complex variableY. Z. Chen

Quantum theory

PDEFT

Inverse FT

Hörmander method

Circle & Ellipse (Y. Z. Chen)

Circle ( W. J. He)

2 ln d

a bR

a b

2 ln 1cdR

Y. Z. Chen Evaluation of the degenerate scale BIE in plane elasticity and antiplane elasticity by using conformal mapping. EABE(2009)W. J. He Non-equivalence of conventional boundary integral formulation and its elimination for plane elasticity problems. Comput Struct(1996)

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20140603-WenShenRevisit of Kelvin solution.ppt