9 / 14
Calculation of Shear Areas and Torsional Constant using the Boundary Element Method with Scada Pro
9
domain integrals in equations
(3.3a,b)
are converted to boundary line integrals in order to
maintain the pure boundary character of the method [
3.1-3.3
]. Thus, once the
aforementioned (shear) warping functions are established along the boundary, the shear
deformation coefficients
y
,
z
are evaluated using only boundary integration.
BIBLIOGRAPHY
[3.1]. Sapountzakis E.J. and Mokos V.G. (2005). “A BEM Solution to Transverse Shear
Loading of Beams”,
Computational Mechanics,
36, 384-397.
[3.2]. Sapountzakis E.J. and Protonotariou V.M. (2008) “A Displacement Solution for
Transverse Shear Loading of Beams Using the Boundary Element Method”,
Computers and Structures
, 86, 771-779.
[3.3]. Sapountzakis E.J. and Mokos V.G. (2007) “3-D Beam Element of Composite Cross
Section Including Warping and Shear Deformation Effects”,
Computers and
Structures
, 85, 102-116.
[3.4]. Katsikadelis, J.T (2002)
Boundary Elements: Theory and Application
, Elsevier,
Amsterdam-London.