Single-side J-integral method for interface cracks
An integration method and interface technology, applied in the analysis of materials, the use of stable shear force to test the strength of materials, instruments, etc., can solve the problems of interface crack J-integral calculation difficulties, etc., to achieve real-time measurement, strong versatility, high efficiency effect
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[0049] The present invention will be further described below in conjunction with drawings and embodiments.
[0050] In this embodiment, the interface crack of the composite structure specimen composed of FRP and concrete is taken as an example, and the one-sided J-integration method for the interface crack is described.
[0051] A one-sided J-integration method for interface cracks, including the following steps:
[0052] S1. Define the one-sided J-integral, and establish the calculation formula of the one-sided J-integral:
[0053] This is formula (1),
[0054] In the formula, n is the number of sub-units AI in the circular integration path / area Γ; figure 1 As shown, Gp represents the number of Gaussian integration points p in each subunit; u i is the displacement field, σ ij is the stress on each unit node, i, j=1, 2 represent the y and x directions respectively, where y is the crack propagation direction; ω is the strain energy density; q 1 is the gradient function, ...
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