By Yuri Bazilevs
Chapter 1 Governing Equations of Fluid and Structural Mechanics (pages 1–35):
Chapter 2 fundamentals of the Finite aspect procedure for Nonmoving?Domain difficulties (pages 37–72):
Chapter three fundamentals of the Isogeometric research (pages 73–81):
Chapter four ALE and Space–Time equipment for relocating obstacles and Interfaces (pages 83–109):
Chapter five ALE and Space–Time equipment for FSI (pages 111–137):
Chapter 6 complex FSI and Space–Time ideas (pages 139–169):
Chapter 7 normal purposes and Examples of FSI Modeling (pages 171–190):
Chapter eight Cardiovascular FSI (pages 191–258):
Chapter nine Parachute FSI (pages 259–314):
Chapter 10 Wind?Turbine Aerodynamics and FSI (pages 315–351):
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Extra resources for Computational Fluid-Structure Interaction: Methods and Applications
190) 12 which are the classical membrane and bending stiﬀnesses for an orthotropic shell. With the above deﬁnitions, the expression for the internal virtual work for a composite shell may now be compactly written as Kbend = δWint = − Γ0s δεε · Kexteε + Kcoupκ dΓ − Γ0s δκκ · Kcoupε + Kbendκ dΓ. 192) where Γts h is the shell subdomain with a prescribed traction boundary condition, and ρ0 is the through-thickness-averaged shell density given by ρ0 = 1 hth ρ0 dξ3 . 192), we omitted the terms corresponding to the prescribed traction on the edges of the shell.
An alternative linearization of the follower pressure load, which uses the parametric coordinates of the boundary surface, may be found in Wriggers (2008). 1 Thin Structures: Shell, Membrane, and Cable Models Kirchhoff–Love Shell Model In this section we follow the developments of Kiendl et al. (2009, 2010) and Bazilevs et al. (2011c) that present the governing equations of the Kirchhoﬀ–Love shell theory. The theory is appropriate for thin-shell structures and, when discretized using smooth basis functions, requires no rotational degrees of freedom.
145) (Γ0 )h are the structural mechanics variational equations evaluated at y¯ . The superimposed bar denotes quantities evaluated at the deformed state. 147) Ω0 Ω0 ⎛ ⎞ ⎛ ⎜ ∂S ⎟ 1 T ⎜⎜⎜ ⎜⎝∇ X w : ∇ X yS¯ + F¯ T ∇ X w : ⎜⎜⎜⎝ ⎟⎟⎟⎠ F¯ ∇ X y + ∇ X yT F¯ ∂E 2 Ω0 ⎞ ⎟⎟⎟ ⎟⎠ dΩ. 148) may be written as Ω0 F¯ T ∇ X w : ¼¯ F¯ T ∇ X y + ∇ X w : ∇ X yS¯ dΩ. 151) where D¯ iJkL ’s are the components of the tangent stiﬀness tensor given by D¯ iJkL = F¯ iI C¯ I JKL F¯ kK + δik S¯ JL . 152) is the material stiﬀness, while the second term is the geometric stiﬀness contribution to the tangent stiﬀness tensor.
Computational Fluid-Structure Interaction: Methods and Applications by Yuri Bazilevs