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| Analytical -Variational Method of Solution with Relevant Systematical Computational Results about Stress Intensity Factors of Compact Tension Specimens |
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| DOI：10.7511/jslx19933044 |
| KeyWord:rectangular and circular compact tension specimens, pin loads, stress intensity factor, analytical-variational method, |
| Cui Deyu Zhang Xing Fa Dongshan |
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| Abstract: |
| In this paper, series expressions with functional terms of stress and displacement components about specimens containing edge cracks and subjected to pin-loads, frequently encountered in fracture behavior tests of materials are derived. These series satisfy all of the governing equations, crack surface boundary conditions term by term. Furthermore, some additional multi-valued terms in these series are introduced to satisfy the prescribed resultant conditions of forces and single-valued conditions of displacements around pin-holes. The undetermined coefficients in the above series are solved by means of variational equations based upon principle of minimum potential energy to satisfy the remaining boundary conditions. There are only line integrals in the above variational equations, which can be transformed into linear algebraic simultaneous equations with the undetermined coefficients as unknowns. Subsequently, the stress intensity factors can be solved. The computational results show that, the series converge rapidly, and the computations are very time-saving and data manipulation can be significantly simplified. In this paper, the inaccuracies about empirical formulas and computational curves of rectangular compact tension specimens obtained by boundary collocation method, due to unappropriate simplification of boundary conditions are denoted and the correct systematical computational results of stress intensity factors about rectangular and circular compact tension specimens are carried out by means of analytical-variational method which can be applied to the edge cracked plates with arbitrary geometrical configuration. |
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