Plane strain

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Plane strain

 

This case is defined as a deformation state in which w=0 everywhere and u and v are functions of x and y but not of z. Thus, p_23_image004. A typical slice of an underground tunnel that lies along the z axis might deform in essentially plane strain conditions. The constitutive matrix E for isotropic plane strain is:

 

 

p_23_image006

 

(27)

                                         

If needed, p_23_image008can be obtained from the relation p_23_image010after p_23_image012and p_23_image014are known.

 

 

 

 

 

 

 

 

 

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