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Nonlinear Finite Element Analysis of Concrete Structures

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- 17G -<br />

= displacement vector in loacl coordinates,<br />

section 4.3.1;<br />

= displacement in vertical direction, eq. (4.2-1);<br />

= displacement in the Z'-direction, fig. 4.3-2;<br />

- — = stress invariant, see eq. (2.2-5);<br />

/3<br />

= ordinate; and<br />

= ordinate in local coordinate system, fig. 4.3-2;<br />

= angle<br />

= coefficient <strong>of</strong> thermal expansion, see eqs.<br />

(4.2-11) and (4.3-7) to (4.3-9);<br />

= nonlinearity index, see eqs. (2.2-1) and (2.2-2);<br />

= engineering shearing strain, eq. (4.2-5);<br />

= engineering shearing strain in local coordinates,<br />

eq. (4.3-3);<br />

= area <strong>of</strong> a triangular element, section 4.2.1;<br />

= temperature rise, eqs. (4.2-11) and (4.3-7) to<br />

(4.3-9);<br />

= Kroneckers delta;<br />

= strain, elongation is positive;<br />

= principal strains;<br />

= strain at uniaxial sompressive failure (e > o)<br />

eq. (2.2-3);<br />

= initial strain;<br />

= radial strain, eq. (4.2-5);<br />

= vertical strain, eq. (4.2-5);<br />

= circumferential strain, eq. (4.2-5);<br />

= creep strain, see eq. (2.3-1);<br />

= elastic strain, section 2.3;<br />

= equivalent plastic strain, see eqs. (3-2) and<br />

(3-6);

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