1.6. SOLID45 - 3D Structural Solid

Matrix or VectorShape FunctionsIntegration Points
Stiffness Matrix and Thermal Load VectorEquation 11–217, Equation 11–218, and Equation 11–219 or, if modified extra shape functions are included (KEYOPT(1) = 0) and element has 8 unique nodes, Equation 11–233, Equation 11–234, and Equation 11–235

2 x 2 x 2 if KEYOPT(2) = 0
1 if KEYOPT(2) = 1

Mass and Stress Stiffness Matrices Equation 11–217, Equation 11–218, and Equation 11–219Same as stiffness matrix
Pressure Load VectorQuadEquation 11–70 and Equation 11–712 x 2
TriangleEquation 11–50 and Equation 11–513
Load TypeDistribution
Element TemperatureTrilinear thru element
Nodal TemperatureTrilinear thru element
Pressure Bilinear across each face

Reference: Wilson, Taylor et al.

1.6.1. Other Applicable Sections

Structures describes the derivation of structural element matrices and load vectors as well as stress evaluations. Uniform reduced integration technique (Flanagan and Belytschko) can be chosen by using KEYOPT(2) = 1.