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Nonlinear Finite Element Analysis of Concrete Structures

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- 175 -<br />

force vector due to initial stresses, eq.<br />

(4.3-25);<br />

force vector due to initial stresses in reinforcement.<br />

This vector relates to the nodal<br />

points <strong>of</strong> the triangular element in question,<br />

see eq. (4. 3-30) ;<br />

force vector for a bar element due to initial<br />

strains. Local coordinates are use, see eqs.<br />

(4.3-10) and (4.3-12);<br />

force vector for a bar element due to initial<br />

stresses. Local coordinates are used, eq.<br />

(4.3-26);<br />

shear modulus;<br />

first invariant <strong>of</strong> the stress tensor;<br />

invariant <strong>of</strong> the stress tensor;<br />

second invariant <strong>of</strong> the stress deviator tensor,<br />

eq. (2.1-2);<br />

= third invariant <strong>of</strong> the stress deviator tensor;<br />

parameter, eq. (4.2-22);<br />

stiffness tensor <strong>of</strong> the element, eqs. (4.1-19)<br />

and (4.1-2C);<br />

stiffness matrix <strong>of</strong> the element, eq. (4.2-12);<br />

total stiffness matrix, eq. (4.6-1);<br />

stiffness matrix in local coordinates <strong>of</strong> a bar<br />

element, see eqs. (4.3-10) and (4.3-11);<br />

stiffness contribution due to reinforcement.<br />

This contribution relates to the nodal points<br />

<strong>of</strong> the triangular element in question, see<br />

eq. (4.3-2);<br />

parameter in failure criterion, eq. (2.1-8 ;<br />

parameter in failure criterion, eq. (2.1-8);<br />

transformation matrix relating local and global<br />

coordinates, eqs. (4.3-13) and (4.3-14);

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