ABAQUS-based wood constitutive relation numerical simulation method
A technology of constitutive relationship and numerical simulation, applied in the direction of electrical digital data processing, special data processing applications, instruments, etc., can solve the inconsistency of wood stress, cannot describe the ideal plastic hardening of wood along the grain and the plastic hardening of the transverse grain at the same time, cannot Accurately describe problems such as plastic deformation and brittle failure of wood
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[0064] The specific implementation manners of the present invention will be further described below in conjunction with the accompanying drawings and technical solutions.
[0065] 1. Elastic stage constitutive equation
[0066] The stress-strain relationship of orthotropic materials in the elastic stage is shown in Equation (1):
[0067] σ=Dε (1)
[0068] Where: σ is the stress matrix, ε is the strain matrix, and D is the stiffness matrix.
[0069] The expanded expression is as formula (2):
[0070]
[0071] In the formula, D 11 =E 1 (1-v 23 v 32 )γ,D 22 =E 2 (1-ν 13 v 31 )γ,D 33 =E 3 (1-v 21 v 12 )γ,D 12 =E 1 (v 21 +v 23 v 31 )γ,D 13 =E 1 (v 21 +v 23 v 31 )γ,D 23 =E 2 (v 32 +v 12 v 31 )γ,D 44 =G 12 ,D 55 =G 23 ,D 66 =G 13 , γ=(1-v 21 v 12 -v 23 v 32 -v 13 v 31 -2v 21 v 32 v 13 ) -1 .
[0072] E. 1 ,E 2 ,E 3 Respectively, the elastic modulus in the three directions of L, R and T; G 12 , G 13 , G 23 are the shear moduli in ...
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