TMeshes

Some common meshes for topology optimization problems

Some examples

```julia

Simply supported problem with 2D trusses: 6 x 6 grid

Simply_supported2D(6,6)

Simply supported problem with 3D trusses: 6 x 6 x 6 grid

Simply_supported3D(6,6,6)

Simply supported problem with 2D solid: 6 x 6 grid

Simply_supported2D(6,6,:solid2D)

Simply supported problem with 3D solid: 6 x 6 x 6 grid

Simply_supported3D(6,6,6,:solid3D)

Simply supported problem with 2D trusses: 6 x 6 grid in a 2 x 2 m domain

Simply_supported2D(6,6; Lx=2.0, Ly=2.0)

Inverter with 2D truss

Inverter2D(10,10)

```

Simply supported 2D

```julia

----------------

| |

| Ω |

| |

> ----------------<

𝝙 ↓ ↓ ↓ 𝝙

F/4 F/2 F/4

Simply_supported2D(nx::Int64,ny::Int64,etype=:truss2D;
Lx=1.0, Ly=1.0, force=1.0, A=1E-4 , Ex=1E9, νxy=0, density=7850.0,thickness=0.1, options = Dict{Symbol,Matrix{Float64}}) nx must be even

```

Cantilever beam with bottom load 2D

```julia

----------------

\ |

\ Ω |

\ |

----------------

↓

F

function Cantileverbeambottom2D(nx::Int64,ny::Int64,etype=:truss2D;
Lx=8.0, Ly=5.0, force=1.0, A=1E-4, Ex=1E9,νxy=0, density=7850.0,thickness=0.1, limit_stress=1E6, options = Dict{Symbol,Matrix{Float64}})

```

Cantilever beam with central load 2D

```julia

----------------

\ |

\ Ω | ↓ F

\ |

----------------

function Cantileverbeammiddle2D(nx::Int64,ny::Int64,etype=:truss2D;
Lx=8.0, Ly=5.0, force=1.0, A=1E-4, Ex=1E9, νxy=0, density=7850.0,thickness=0.1, limit_stress=1E6, options = Dict{Symbol,Matrix{Float64}}) ny must be even

```

```julia

z

|

---------------- X-------------X ---->y

| | | |

| Ω | | F |

| | | |

> ----------------< ----->y X-------------X

𝝙 ↓ 𝝙 |

F x

Front View Top view

function Simplysupported3D(nx::Int64,ny::Int64,nz::Int64,etype=:truss3D; Lx=1.0, Ly=1.0, Lz=1.0, force=1.0, A=1E-4, Ex=1E9, νxy=0, density=7850.0,thickness=0.1, limitstress=1E6, options = Dict{Symbol,Matrix{Float64}})

nx and ny must be even
```

```julia

X----------------

| |

| Ω |

F | |

--> |----------------

ooooooooooooooo

-----------------

function Inverter2D(nx::Int64,ny::Int64,etype=:truss2D;
Lx=1.0, Ly=0.5, force=1.0, A=1E-4 ,Ex=1E9, νxy=0.0, density=7850.0,thickness=0.1, limit_stress=1E6, options = Dict{Symbol,Matrix{Float64}}) ```