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Abstract: Based on two-dimensional displacement field of cracked
plate in the linear elastic fracture mechanics, mathematical expression
with unknown function of three-dimensional displacement field is given
in variable separating type. Then three-dimensional strain field and
stress field are obtained. By means of equations of geometry and
physics, the governing equations and boundary conditions of above
unknown displacement function are formulated using variational method on
the foundation of principle of virtual displacement. The displacement
functions are solved by the above method. Three-dimensional effect
analysis of cracked plate is conducted by the model of equivalent plane
strain and equivalent plane stress sections and the theoretical formulas
on the relation between fracture toughness and plate thickness are
determined. Two kinds of test materials, LY12CZ(L-T) and TC4(L-T), are
used to verify theoretical equation.
Key words: Fracture toughness Thickness effect Variable separating
solution Principle of virtual displacement
CLC No: O346.1
教育部博士点基金资助项目(1999000607). Received 20040806, received in
revised form 20050120
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