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ovainola
122 lines
3.1 KiB
ReStructuredText
122 lines
3.1 KiB
ReStructuredText
JuliaFEM.elasticity_solver
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==========================
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Internal
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--------
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.. jl:function:: assemble!(fe, eldofs_, I, V)
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Assemble global RHS to I,V ready for sparse format
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Parameters
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----------
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fe : local vector
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eldofs_ : Array
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degrees of freedom
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I,V : Arrays for sparse matrix
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Notes
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-----
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eldofs can also be node ids for convenience. In that case dimension
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is calculated and eldofs are "extended" to problem dimension.
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.. jl:function:: assemble!(ke, eldofs_, I, J, V)
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Assemble global stiffness matrix to I,J,V ready for sparse format
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Parameters
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----------
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ke : local matrix
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eldofs_ : Array
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degrees of freedom
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I,J,V : Arrays for sparse matrix
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Notes
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-----
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eldofs can also be node ids for convenience. In that case dimension
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is calculated and eldofs are "extended" to problem dimension.
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.. jl:function:: calc_local_matrices!(X, u, R, Kt, N, dNdchi, lambda_, mu_, ipoints, iweights)
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Calculate local tangent stiffness matrix and residual force vector R = T - F
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.. jl:function:: eliminate_boundary_conditions(dirichletbc, I, J, V)
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Eliminate Dirichlet boundary conditions from matrix
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Parameters
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----------
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dirichletbc : array [dim x nnodes]
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I, J, V : sparse matrix arrays
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Returns
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-------
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I, J, V : boundary conditions removed
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Notes
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-----
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pros:
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- matrix assembly remains positive definite
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cons:
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- maybe inefficient because of extra sparse matrix operations. (It's hard to remove stuff from sparse matrix.)
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- if u != 0 in dirichlet boundary requires extra care
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Raises
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------
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Exception, if displacement boundary conditions given, i.e.
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DX=2 for some node, for example.
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.. jl:function:: eliminate_boundary_conditions(dirichletbc, I, V)
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Eliminate Dirichlet boundary conditions from vector
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Parameters
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----------
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dirichletbc : array [dim x nnodes]
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I, V : sparse vector arrays
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Returns
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-------
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I, V : boundary conditions removed
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Notes
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-----
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pros:
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- matrix assembly remains positive definite
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cons:
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- maybe inefficient because of extra sparse matrix operations. (It's hard to remove stuff from sparse matrix.)
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- if u != 0 in dirichlet boundary requires extra care
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Raises
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------
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Exception, if displacement boundary conditions given, i.e.
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DX=2 for some node, for example.
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.. jl:function:: interpolate{T<:Real}(field::Array{T<:Real, 1}, basis::Function, ip)
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Interpolate field variable using basis functions f for point ip.
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This function tries to be as general as possible and allows interpolating
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lot of different fields.
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Parameters
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----------
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field :: Array{Number, dim}
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Field variable
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basis :: Function
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Basis functions
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ip :: Array{Number, 1}
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Point to interpolate
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.. jl:function:: solve_elasticity_increment!(X, u, du, elmap, nodalloads, dirichletbc, lambda, mu, N, dNdchi, ipoints, iweights)
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Solve one increment of elasticity problem
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