plane section

For the bonded shear wall, the ductility' calculation is based on the plane section assumption and the deformation coordination assumption between reinforcement and concrete.

Denote by K([pi]) or K(U [and] V) the sectional curvature of M associated with a plane section [pi] [subset.bar] [T.sub.p]M, where {U, V} is an orthonormal basis of [pi].

Caption: Figure 5: A coronal plane section of the model coated with HA coating

If k = n then [[PI].sub.n] = [T.sub.p] (M), and if k = 2 then [[PI].sub.2] is a plane section of [T.sub.p] (M).

Based on the assumption of the plane section, the sections resistance at t moment is [4,14]

For the plane section [e.sub.i] [conjunction] [e.sub.j] of the tangent bundle TM spanned by the vectors [e.sub.i] and [e.sub.j] ([e.sub.i] [not equal to] [e.sub.j]) the scalar curvature of M is defined by [kappa] = [[summation].sup.n.sub.i,j=1] K([e.sub.i] [conjunction] [e.sub.j]), where K denotes the sectional curvature of M.

a plane section normal on the spindle axis before deformation remains plane without keeping perpendicularity

The intersection of K with a two-dimensional flat [alpha] is a plane convex body (plane section) that will be denoted by [K.sub.[alpha]].

Solution: The plane section is presented on Figure 19.1.

If k = n then [[PI].sub.n] = [T.sub.p]M; and if k = 2 then [[PI].sub.2] is a plane section of [T.sub.p]M.

The example presented herein introduces the possibility to design the EBG only on a limited plane section, to be freely laid out where it is more appropriate without affecting other system functionalities.