A level set method for shape and topology optimization of both structure and support of continuum structures
A level set method is presented for optimization of both structure and support. Two level set functions are used to implicitly represent a structure. Traction free boundary and Dirichlet boundary are represented separately. Shape derivatives are derived through a Lagrangian function and adjoint method. The finite element analysis is done by modifying a fixed background mesh.
level set method shape and topology optimization dirichlet boundary shape derivative homogeneous neumann boundary