Topic: some question about LIBeam2d :: computeBmatrixAt()
Prof.
in the book "Numerical methods in structural mechanics" p80.
| dh1/dx 0 0 dh2/dx 0 0 |
B= | 0 dh3/dx dh4/dx 0 dh5/dx dh6/dx |
| 0 h3+dh7/dx h4+dh8/dx 0 h5+dh9/dx h6+dh10/dx |
but in the OOFEM code LIBeam2d :: computeBmatrixAt()
l = this->giveLength();
ksi = aGaussPoint->giveCoordinate(1);
n1x = -1.0 / l;
n4x = 1.0 / l;
n3xx = -1.0 / l;
n6xx = 1.0 / l;
n2xxx = -1.0 / l;
n3xxx = 0.5 * ( 1 - ksi );
n5xxx = 1.0 / l;
n6xxx = 0.5 * ( 1. + ksi );
// answer = new FloatMatrix(3,6) ;
answer.resize(3, 6);
answer.zero();
answer.at(1, 1) = n1x;
answer.at(1, 4) = n4x;
answer.at(2, 3) = n3xx;
answer.at(2, 6) = n6xx;
answer.at(3, 2) = n2xxx;
answer.at(3, 3) = n3xxx;
answer.at(3, 5) = n5xxx;
answer.at(3, 6) = n6xxx;
some question:
(1) why the answer.at(2,2) and answer.at(2,5) =0 ?
(2) how to derived the following resule according table 2.1:
n3xx = -1.0 / l;
n6xx = 1.0 / l;
n2xxx = -1.0 / l;
n3xxx = 0.5 * ( 1 - ksi );
n5xxx = 1.0 / l;
n6xxx = 0.5 * ( 1. + ksi );
thanks