|
Abstract After the expression of displacement asymptotic expansion is introduced into the linear elasticity equilibrium equation, the characteristic differential equation with respect to the stress singularity order of 3-D V-notch is proposed. By applying the interpolating matrix method to solving the established equation, all the stress singularity orders companying with the corresponding characteristic angle functions can be yielded at a time. All the calculated stress singularity orders have the same high accuracy by comparing with the existed results. The numerical results show that, part of the singularity orders is converging to the theory resolution of the plane strain V-notch problem. However, the number of the singularity orders for 3-D V-notch is more than the one of 2-D plane strain V-notch. If the plane strain theory is used to predict the stress singularity orders of 3-D V-notch, part of the important singularity orders will be lost.
|
|
Received: 05 August 2011
|
|
|
|
2012, Vol. 33 
