Nonlinear Finite Element Analysis of Concrete Structures

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LIST OF SYMBOLS
Unless otherwise stated, the following symbols are used in the
present report:
A = parameter in failure criterion, eq. (2.1-5);
A = E./E = parameter in stress-strain equation (2,2-3);
B = parameter in failure criterion, eq. (2.1-5);
B. . = tensor relating strains and nodal displacements,
eq. (4.1-11);
B
B^
3 b
D
= matrix relating strains and nodal displacements,
eqs.(4.2-6) and (4.2-7);
= matrix in a local coordinate system relating
reinforcement strains with reinforcement nodal
displacements, eqs. (4.3-4) and (4.3-5);
= strain softening parameter in stress-strain
equation (2.2-3);
D. ... = elasticity tensor, eq. (4.1-3);
D = constitutive or material matrix, eq. (4.2-10);
D
D_
D
D
= material matrix when circumferential cracks
exist, eq. (4.2-21);
= material matrix when circumferential and radial
cracks exist, eq. (4.2-25);
= material matrix when secondary circumferential
cracks exist together with radial cracks, eq.
(4.2-28);
= material matrix when radial cracks exist, eq.
(4.2-23);
D* = material matrix in a local coordinate system
for a reinforcement element, eqs. (4.3-6) to
(4.3-9);
E
= Young's modulus;