3.1.10.22. MVLEM Element

Developed and implemented by:

Kristijan Kolozvari (CSU Fullerton)

Kutay Orakcal (Bogazici University)

John Wallace (UCLA)

The MVLEM (Multiple-Vertical-Line-Element-Model) element is a two-node macro-element for flexure-dominated reinforced concrete walls in 2D. The element has six global degrees of freedom (three at the center of each rigid top and bottom beam). Flexural response is modeled by vertical macro-fibers; shear response is modeled by an uncoupled horizontal shear spring at height c from the bottom node. Use with -ndm 2 -ndf 3.

For the 3D extension, see the MVLEM_3D element.

element MVLEM $eleTag $Dens $iNode $jNode $m $c -thick {Thicknesses} -width {Widths} -rho {Reinforcing_ratios} -matConcrete {Concrete_tags} -matSteel {Steel_tags} -matShear {Shear_tag}

Argument	Type	Description
$eleTag	integer	unique element tag
$Dens	float	wall density
$iNode $jNode	integer	end node tags
$m	integer	number of macro-fibers
$c	float	location of center of rotation from $iNode (recommended 0.4)
{Thicknesses}	list float	fiber thicknesses (length $m$)
{Widths}	list float	macro-fiber widths (length $m$)
{Reinforcing_ratios}	list float	reinforcing ratio for each macro-fiber
{Concrete_tags}	list integer	uniaxial material tags for concrete in each fiber
{Steel_tags}	list integer	uniaxial material tags for steel in each fiber
{Shear_tag}	integer	uniaxial material tag for the shear spring

3.1.10.22.1. Recorders

Recorder	Description
globalForce	element global forces
Curvature	element curvature
Shear_Force_Deformation	shear force-deformation relationship
Fiber_Strain	vertical strains in each macro-fiber
Fiber_Stress_Concrete	vertical concrete stresses in each macro-fiber
Fiber_Stress_Steel	vertical steel stresses in each macro-fiber

Example

1. Tcl Code

element MVLEM 1 0.0 1 2 8 0.4 -thick 4 4 4 4 4 4 4 4 -width 7.5 1.5 7.5 7.5 7.5 7.5 1.5 7.5 -rho 0.0293 0.0 0.0033 0.0033 0.0033 0.0033 0.0 0.0293 -matConcrete 3 4 4 4 4 4 4 3 -matSteel 1 2 2 2 2 2 2 1 -matShear 5

2. Python Code

element('MVLEM', 1, 0.0, 1, 2, 8, 0.4, '-thick', 4, 4, 4, 4, 4, 4, 4, 4, '-width', 7.5, 1.5, 7.5, 7.5, 7.5, 7.5, 1.5, 7.5, '-rho', 0.0293, 0.0, 0.0033, 0.0033, 0.0033, 0.0033, 0.0, 0.0293, '-matConcrete', 3, 4, 4, 4, 4, 4, 4, 3, '-matSteel', 1, 2, 2, 2, 2, 2, 2, 1, '-matShear', 5)

Code developed by: Kristijan Kolozvari, Kutay Orakcal, John Wallace