Reentry aerodynamic environment induced structure thermal response finite element solving optimization method
An optimization method and aerodynamic environment technology, applied in thermal and material science, thermal-mechanical coupling response solution of structural deformation, mechanics, can solve problems such as re-entry, crash and fall flight track
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[0064] In the thermoelastic dynamic equation, set in the space region In , without considering the influence of damping, the material thermoelastic dynamics equation can be expressed as:
[0065]
[0066] Among them, u=[u 1 u 2 u 3 ] T Indicates the displacement vector, f=[f 1 f 2 f 3 ] T is the body force vector, superscript T Indicates the matrix transpose, ρ is the material density, τ is the material damping coefficient, C ijkl is the fourth-order elastic tensor of the material, for homogeneous and isotropic materials, C ijkl Expressed as: C ijkl =λδ ij δ kl +G(δ ik δ jl +δ il δ jk ).
[0067] Among them, δ ij is the Kronecker symbol, λ and G are the material Lamé constants, expressed by the material Young's modulus E and Poisson's ratio ν as:
[0068] Use θ=T-T 0 Indicates the temperature increment, T is the absolute temperature value, T 0 is the temperature value in the undeformed state. beta ij is the thermal elastic modulus, which can be...
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