ovainola
4.9 KiB
JuliaFEM.elasticity_solver
Internal
assemble!(fe, eldofs_, I, V) ¶
Assemble global RHS to I,V ready for sparse format
Parameters
fe : local vector eldofs_ : Array degrees of freedom I,V : Arrays for sparse matrix
Notes
eldofs can also be node ids for convenience. In that case dimension is calculated and eldofs are "extended" to problem dimension.
source: JuliaFEM/src/elasticity_solver.jl:174
assemble!(ke, eldofs_, I, J, V) ¶
Assemble global stiffness matrix to I,J,V ready for sparse format
Parameters
ke : local matrix eldofs_ : Array degrees of freedom I,J,V : Arrays for sparse matrix
Notes
eldofs can also be node ids for convenience. In that case dimension is calculated and eldofs are "extended" to problem dimension.
source: JuliaFEM/src/elasticity_solver.jl:133
calc_local_matrices!(X, u, R, K, basis, dbasis, lambda_, mu_, ipoints, iweights) ¶
Calculate local tangent stiffness matrix and residual force vector R = T - F for elasticity problem.
Parameters
X : Element coordinates u : Displacement field R : Residual force vector K : Tangent stiffness matrix basis : Basis functions dbasis : Derivative of basis functions lambda : Material parameter mu : Material parameter ipoints : integration points iweights : integration weights
Returns
None
Notes
If material parameters are given in list, they are interpolated to gauss points using shape functions.
source: JuliaFEM/src/elasticity_solver.jl:76
dummy(a) ¶
This is dummy function. Testing doctests and documentation.
Parameters
x : Array{Float64, 1}
Returns
Array{float64, 1} x + 1
Notes
This is dummy function
Raises
Exception if things are not going right
Examples
a = [1.0, 2.0, 3.0] dummy(a) [2.0, 3.0, 4.0]
source: JuliaFEM/src/elasticity_solver.jl:44
eliminate_boundary_conditions(dirichletbc, I, J, V) ¶
Eliminate Dirichlet boundary conditions from matrix
Parameters
dirichletbc : array [dim x nnodes] I, J, V : sparse matrix arrays
Returns
I, J, V : boundary conditions removed
Notes
pros:
- matrix assembly remains positive definite cons:
- maybe inefficient because of extra sparse matrix operations. (It's hard to remove stuff from sparse matrix.)
- if u != 0 in dirichlet boundary requires extra care
Raises
Exception, if displacement boundary conditions given, i.e. DX=2 for some node, for example.
source: JuliaFEM/src/elasticity_solver.jl:221
eliminate_boundary_conditions(dirichletbc, I, V) ¶
Eliminate Dirichlet boundary conditions from vector
Parameters
dirichletbc : array [dim x nnodes] I, V : sparse vector arrays
Returns
I, V : boundary conditions removed
Notes
pros:
- matrix assembly remains positive definite cons:
- maybe inefficient because of extra sparse matrix operations. (It's hard to remove stuff from sparse matrix.)
- if u != 0 in dirichlet boundary requires extra care
Raises
Exception, if displacement boundary conditions given, i.e. DX=2 for some node, for example.
source: JuliaFEM/src/elasticity_solver.jl:260
solve_elasticity_increment!(X, u, du, elmap, nodalloads, dirichletbc, lambda, mu, N, dNdchi, ipoints, iweights) ¶
Solve one increment of elasticity problem