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Equivalent indentation modulus of contact

Dear all (and Prof. Ciavarella, if you can see this),

I am looking for an equivalent indentation modulus for orthotropic composite materials in a contact problem. Does anybody has any reference or equation to get the value?

I have come across a paper by Prof. Ciavarella titled 'The general 3D Hertzian contact problem for anisotropic materials' from Key engineering materials yr:2002 vol:221 pg:281 -292. In the paper, it is mentioned that the modulus can be approximated by 1/pi*h0. h0 is the first Fourier series term in the Green's function. I wonder if anyone know the explicit equation for calculating h0.

Any help is much appreciated. Thanks.

Regards,

Khong 

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Mike Ciavarella's picture

Michele Ciavarella, Politecnico di BARI - Italy, Rector's delegate.
http://poliba.academia.edu/micheleciavarella

Do you mean the Barnett-Lothe forms? Could you advise how can i get the BL forms? I could not get their paper...

Mike Ciavarella's picture

Michele Ciavarella, Politecnico di BARI - Italy, Rector's delegate.
http://poliba.academia.edu/micheleciavarella

I have another question. Is the indentation modulus specific to the indenter geometrical shape? For example, for the same orthotropic laminate, is the modulus the same for a conical indentation, a spehrical indentation and a cylindrical indentation?

Thanks for your help.

 Regards.

Mike Ciavarella's picture

Michele Ciavarella, Politecnico di BARI - Italy, Rector's delegate.
http://poliba.academia.edu/micheleciavarella

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