Numerical simulation method of wood constitutive relation based on abaqus
A constitutive relation and numerical simulation technology, applied in the field of wood constitutive research, it can solve the problem of not being able to describe the ideal plasticity and transverse grain plastic hardening of wood at the same time, the inconsistency of wood stress, and the inability to accurately describe the plastic deformation and brittle failure of wood, etc. question
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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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