动力学-3.pdf
动力学
节选段落一:
In an isotropic, elastic material the effective Lamé's constants can be defined in terms of Young's modulus, E,
and Poisson's ratio, , by
Δt ≈ ,
Lmin
cd
Lmin cd
λ0 μ0
Δt
1/√2 1/√3
cd
λ̂
Ĝ = 2μ̂ Δp ΔS
Δϵvol Δe
Δp = (3λ̂+ 2μ̂)Δϵvol,
ΔS = 2μ̂Δe .
3K̂ = 3λ̂+ 2μ̂ = ,
Δp
Δϵvol
2μ̂ = ,
ΔS : Δe
Δe : Δe
λ̂+节选段落二:
2μ̂ = (3K̂ + 4μ̂) .
1
3
cd =√ ,λ̂+ 2μ̂
ρ
ρ
ν
λ̂ = λ0 =
Eν
(1 + ν) (1 − 2ν)
Page 3 of 13Explicit dynamic analysis
2021/7/25file:///E:/ABAQUS/help/SIMULIA2017doc/English/SIMACAEANLRefMap/simaanl-...
and
Time incrementation
The time increment used in an analysis must be smaller than the stability limit
In an isotropic, elastic material the effective Lamé's constants can be defined in terms of Young's modulus, E,
and Poisson's ratio, , by
Δt ≈ ,
Lmin
cd
Lmin cd
λ0 μ0
Δt
1/√2 1/√3
cd
λ̂
Ĝ = 2μ̂ Δp ΔS
Δϵvol Δe
Δp = (3λ̂+ 2μ̂)Δϵvol,
ΔS = 2μ̂Δe .
3K̂ = 3λ̂+ 2μ̂ = ,
Δp
Δϵvol
2μ̂ = ,
ΔS : Δe
Δe : Δe
λ̂+节选段落二:
2μ̂ = (3K̂ + 4μ̂) .
1
3
cd =√ ,λ̂+ 2μ̂
ρ
ρ
ν
λ̂ = λ0 =
Eν
(1 + ν) (1 − 2ν)
Page 3 of 13Explicit dynamic analysis
2021/7/25file:///E:/ABAQUS/help/SIMULIA2017doc/English/SIMACAEANLRefMap/simaanl-...
and
Time incrementation
The time increment used in an analysis must be smaller than the stability limit

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