| Matrix or Vector | Shape Functions | Integration Points | |
|---|---|---|---|
| Stiffness and Stress Stiffness Matrices; and Thermal Load Vector | Equation 11–217, Equation 11–218, and Equation 11–219 | In-plane: | |
| Mass Matrix | Same as stiffness matrix | Same as stiffness matrix | |
| Pressure Load Vector | Quad | Equation 11–70 and Equation 11–71 | 2 x 2 |
| Triangle | Equation 11–50 and Equation 11–51 | 3 | |
| Load Type | Distribution |
|---|---|
| Element Temperature | Bilinear in-plane of element, linear thru each layer |
| Nodal Temperature | Trilinear thru element |
| Pressure | Bilinear across each face |
Structures describes the derivation of structural element matrices and load vectors as well as stress evaluations. General Element Formulations gives the general element formulations used by this element.
SOLSH190 is a 3D solid element free of locking in bending-dominant situations. Unlike shell elements, SOLSH190 is compatible with general 3D constitutive relations and can be connected directly with other continuum elements.
SOLSH190 utilizes a suite of special kinematic formulations, including assumed strain method (Bathe and Dvorkin([99])) to overcome locking when the shell thickness becomes extremely small.
SOLSH190 employs enhanced strain formulations (Simo and Rifai([318]), Simo et al.([320])) to improve the accuracy in in-plane bending situations. The satisfaction of the in-plane patch test is ensured. Incompatible shape functions are used to overcome the thickness locking.