Rasmus ÿstergaard forside 100%.indd - Solid Mechanics

Rasmus ÿstergaard forside 100%.indd - Solid Mechanics Rasmus ÿstergaard forside 100%.indd - Solid Mechanics

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z1 z2 M = 0 M =0. ψ = arctan λ sin ω − cos(ω + γ) , λ cos ω +sin(ω + γ) λ = V Ph U M ψ = ω ℓ = h ω P M. ω K, Δu1 Δu2, Δu1 + iΔu2 = |Δu|e iφ = c1 + c2 2 √ 2π √ 1+4ɛ 2 cosh πɛ Kriɛ+1/2 e −iϕ , ϕ = arctan 2ɛ |Δu| = Δu2 1 +Δu2 2 iɛ ℓ Δu1 φ = arctan Δu2 Kℓiɛ = |Kℓiɛ |eψ . ψ ∗ = φ − ɛ ln(r/ℓ) + arctan 2ɛ, ∗ ψ G ∗ = Δu2 2 +Δu2 1 r ( 1 2 +2ɛ2 )π . c1 + c2 Δu1 ∗ G Δu2 ∗ ψ r r

G P ω r =0 ψNUM = ψ∗ (r → 0) GNUM = G∗ (r → 0). ∗ G G G GNUM 0.5% ω M =0 P = 0 ω = ψ

G<br />

P<br />

ω <br />

<br />

r =0 ψNUM = ψ∗ (r → 0) GNUM = G∗ <br />

<br />

(r<br />

<br />

→ 0).<br />

<br />

∗ G G<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

G<br />

<br />

GNUM<br />

0.5%<br />

<br />

<br />

<br />

ω M =0 P = 0<br />

ω = ψ

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