Structural shape optimization — a survey
Computer Methods in Applied Mechanics and Engineering
Generating optimal topologies in structural design using a homogenization method
Computer Methods in Applied Mechanics and Engineering
The NURBS book
On various aspects of evolutionary structural optimization for problems with stiffness constraints
Finite Elements in Analysis and Design
Finite Elements in Analysis and Design
Evolutionary level set method for structural topology optimization
Computers and Structures
Isogeometric analysis and shape optimization via boundary integral
Computer-Aided Design
Grammatical evolution of shape and its application to structural shape optimisation
Structural and Multidisciplinary Optimization
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This paper presents an evolutionary structural optimisation (ESO) approach based on the boundary element method. Non-uniform rational B-splines (NURBS) are used to define the geometry of the component and, since the shape of these B-splines is governed by a set of control points, use can be made of the locations of these control points as design variables. The developed algorithm creates NURBS-based internal cavities to accomplish topology changes. The optimum topologies evolve allowing cavities to merge between each other and to their closest outer boundary. Two-dimensional structural optimisation is investigated in detail exploring single and multiple load case elastic problems.