Solid elements

3 node isoparametric triangle

plante(ex, ey, ep, D[, eq = zeros(2)]) → Ke, fe

Computes the stiffness matrix Ke and force vector fe for a three node isoparametric triangular element with body load eq.

plants(ex, ey, ep, D, ed) → σs, εs, points

Computes the stresses and strains in the gauss points given by the integration rule for a three node isoparametric triangular element.

Also returns the global coordinates points at the gauss points.

plantf(ex, ey, ep, σ) → intf

Computes the internal forces from σ for a three node isoparametric triangular element.

4 node isoparametric quadraterial

plani4e(ex, ey, ep, D[, eq = zeros(2)]) → Ke, fe

Computes the stiffness matrix Ke and force vector fe for a four node isoparametric quadraterial element with body load eq.

plani4s(ex, ey, ep, D, ed) → σs, εs, points

Computes the stresses and strains in the gauss points given by the integration rule for a four node isoparametric quadraterial element.

Also returns the global coordinates points at the gauss points.

plani4f(ex, ey, ep, σ) → intf

Computes the internal forces from σ for a four node isoparametric quadraterial element.

8 node isoparametric quadraterial

plani8e(ex, ey, ep, D[, eq = zeros(2)]) → Ke, fe

Computes the stiffness matrix Ke and force vector fe for an eight node isoparametric quadraterial element with body load eq.

plani8s(ex, ey, ep, D, ed) → σs, εs, points

Computes the stresses and strains in the gauss points given by the integration rule for an eight node isoparametric quadraterial element.

Also returns the global coordinates points at the gauss points.

plani8f(ex, ey, ep, σ) → intf

Computes the internal forces from σ for an eight node isoparametric quadraterial element.

8 node isoparametric hexahedron

soli8e(ex, ey, ez, ep, D[, eq = zeros(3)]) → Ke, fe

Computes the stiffness matrix Ke and force vector fe for an eight node isoparametric hexahedron element with body load eq.

soli8s(ex, ey, ez, ep, D, ed) → σs, εs, points

Computes the stresses and strains in the gauss points given by the integration rule for an eight node isoparametric hexahedron element.

Also returns the global coordinates points at the gauss points.

soli8f(ex, ey, ep, σ) → intf

Computes the internal forces from σ for an eight node isoparametric hexahedron element.