A Method for Calculating Deformation and Stress of Tunnel under Non-uniform Explosive Loading
A blast-loaded, non-uniform technology used in complex mathematical operations, design optimization/simulation, special data processing applications, etc.
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[0068] The specific embodiment of the present invention is as figure 1 shown.
[0069] like figure 1 , this embodiment is a method for calculating tunnel deformation and stress under the action of non-uniform blast load, which is implemented according to the following steps:
[0070] 1. Establish the equation of soil motion in medium-hard rock:
[0071] Considering the tunnel rock mass structure as an elastic single-phase medium, ignoring the existence of physical force, its vector wave equation and constitutive relation can be expressed as:
[0072]
[0073]
[0074] σ ij =λ 1 δ ij ε kk +2μ 1 ε ij (2)
[0075] In the formula, σ ij is the soil skeleton stress tensor; ε kk is the volumetric strain of the soil skeleton; ε ij is the soil skeleton strain tensor; δ ij is the Kronecker parameter, when i≠j, δ ij =0, when i=j, δ ij = 1; λ 1 , μ 1 is the soil skeleton Lame constant; u r is the radial displacement of the soil skeleton medium; u θ is the circumf...
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