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matlab code for 3d element with n number of nodes

mahsai's picture

i have problem in writing matlab code for 3D element to find electric potential at each node

i have the tool surface and workpiece surface and i have to find electric potential in the gap b/w tool and workpiece,for that i assume it as a solid and i took the laplaces equation to find potential i.e  

(∂φ/x)2 + (∂φ/y)2+ (∂φ/z)2=0

and the gap b/w tool and workpiece is divided into n layers and i have to find potential in each layer,for that i am considering it as a hexahedron octanory node element 

bc's are we have potential on workpiece i.e φ=v(volts)

and on tool  φ=0 and φ/∂n =(vf/k)cosx.....vf=tool feed rate, k=electric conductivity, n normal to the workpiece, x=88 degree

so please help me in writing the code to find potential

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