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https://github.com/JuliaFEM/JuliaFEM.jl.git
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ovainola
94 lines
3.9 KiB
ReStructuredText
94 lines
3.9 KiB
ReStructuredText
JuliaFEM.elasticity_solver
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==========================
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Internal
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--------
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.. function:: assemble!(fe, eldofs_, I, V)
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Assemble global RHS to I,V ready for sparse format
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:param fe : local vector
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:param eldofs_ : Array
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:param I,V : Arrays for sparse matrix
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:notes: 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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source:
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-------
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[JuliaFEM/src/elasticity_solver.jl:171](https://github.com/JuliaFEM/JuliaFEM.jl/tree/08077a783a6459336cf07b02e323df0e9977c74f/src/elasticity_solver.jl#L171)
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.. 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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:param ke : local matrix
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:param eldofs_ : Array
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:param I,J,V : Arrays for sparse matrix
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:notes: 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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source:
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-------
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[JuliaFEM/src/elasticity_solver.jl:130](https://github.com/JuliaFEM/JuliaFEM.jl/tree/08077a783a6459336cf07b02e323df0e9977c74f/src/elasticity_solver.jl#L130)
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.. function:: calc_local_matrices!(X, u, R, Kt, N, dNdchi, lambda_, mu_, ipoints, iweights)
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source:
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-------
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[JuliaFEM/src/elasticity_solver.jl:68](https://github.com/JuliaFEM/JuliaFEM.jl/tree/08077a783a6459336cf07b02e323df0e9977c74f/src/elasticity_solver.jl#L68)
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.. function:: eliminate_boundary_conditions(dirichletbc, I, J, V)
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Eliminate Dirichlet boundary conditions from matrix
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:param dirichletbc : array [dim x nnodes]
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:param I, J, V : sparse matrix arrays
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:returns: I, J, V : boundary conditions removed
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:notes: 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: Exception, if displacement boundary conditions given, i.e.
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DX=2 for some node, for example.
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source:
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-------
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[JuliaFEM/src/elasticity_solver.jl:218](https://github.com/JuliaFEM/JuliaFEM.jl/tree/08077a783a6459336cf07b02e323df0e9977c74f/src/elasticity_solver.jl#L218)
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.. function:: eliminate_boundary_conditions(dirichletbc, I, V)
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Eliminate Dirichlet boundary conditions from vector
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:param dirichletbc : array [dim x nnodes]
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:param I, V : sparse vector arrays
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:returns: I, V : boundary conditions removed
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:notes: 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: Exception, if displacement boundary conditions given, i.e.
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DX=2 for some node, for example.
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source:
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-------
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[JuliaFEM/src/elasticity_solver.jl:257](https://github.com/JuliaFEM/JuliaFEM.jl/tree/08077a783a6459336cf07b02e323df0e9977c74f/src/elasticity_solver.jl#L257)
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.. 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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:param field : Array{Number, dim}
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:param basis : Function
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:param ip : Array{Number, 1}
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source:
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-------
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[JuliaFEM/src/elasticity_solver.jl:30](https://github.com/JuliaFEM/JuliaFEM.jl/tree/08077a783a6459336cf07b02e323df0e9977c74f/src/elasticity_solver.jl#L30)
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.. function:: solve_elasticity_increment!(X, u, du, elmap, nodalloads, dirichletbc, lambda, mu, N, dNdchi, ipoints, iweights)
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source:
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-------
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[JuliaFEM/src/elasticity_solver.jl:278](https://github.com/JuliaFEM/JuliaFEM.jl/tree/08077a783a6459336cf07b02e323df0e9977c74f/src/elasticity_solver.jl#L278)
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