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Stress and displacement fields near a crack tip of a linear elastic isotropic material are listed separately for all three modes: Mode I, Mode II, Mode III.

Please note that we use the Greek letter to denote the shear modulus, usually written as G, for fear that one might be mistake it for the strain release rate, . Also, the small differences in formulas for plane stress and plane strain are handled by kappa, where

For linear elastic materials, the principle of superposition applies. A mixed-mode problem can be treated as a the summation of each mode.

Mode I

Mode I    
Mode II

Mode II    
Mode III

Mode III