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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    
Essentials of Manufacturing

Information, coverage of important developments and expert commentary in manufacturing.

Metal 3D Printing Design Guide

Direct Metal Laser Sintering (DMLS) 3D printing for parts with reduced cost and little waste.

CNC Machining Design Guide

Optimize your designs, reduce machining time, and lower your costs.

Negotiate Your Salary

Learn the best principles to negotiate the salary you deserve!