# Structural optimization using sensitivity analysis and a level-set method

@article{Allaire2004StructuralOU, title={Structural optimization using sensitivity analysis and a level-set method}, author={Gr{\'e}goire Allaire and François Jouve and Anca-Maria Toader}, journal={Journal of Computational Physics}, year={2004}, volume={194}, pages={363-393} }

## 2,294 Citations

### Thickness control in structural optimization via a level set method

- Computer Science
- 2016

This work proposes a framework to handle geometric constraints related to a notion of local thickness in the context of structural optimization via a level-set method and implements it in two and three space dimensions for a model of linearized elasticity.

### Thickness control in structural optimization via a level set method

- Computer ScienceStructural and Multidisciplinary Optimization
- 2016

This work proposes a framework to handle geometric constraints related to a notion of local thickness in the context of structural optimization via a level-set method and implements it in two and three space dimensions for a model of linearized elasticity.

### Structural optimization using sensitivity analysis and a level-set method, in Scilab and Matlab

- Engineering
- 2009

A common problem in mechanical structure design is to optimize the shape and topology of an elastic structure given certain boundary conditions; the optimal structure usually performs some desired…

### Shape optimization of elastic structures using a level-set based mesh evolution method

- Computer Science
- 2011

A method for structural optimization that combines two different ways of depicting shapes that enjoys an accurate description of the shapes at hand, and still allows for topological changes thanks to the versatility of level-set methods.

### A Level Set Method for Structural Shape and Topology Optimization Using Radial Basis Functions

- Mathematics
- 2011

In this paper, the conventional level set method is extended as an effective approach for shape and topology optimization by the introduction of the radial basis functions (RBFs). We apply the RBFs…

### Constrained shape optimization problem in elastic mechanics

- MathematicsComputational and Applied Mathematics
- 2021

The main purpose of this article is to present a numerical method for geometrical shape optimization in the context of linear elastic structures. Our approach is based on the gradient method, where…

### Topological Optimization of Dynamic Characteristics for Orthotropic Material Structure Using Shape Derivative and Augmented Lagrangian Method

- Engineering
- 2011

This paper presents a new level set method for topology optimization of dynamic structure of orthotropic materials using the shape derivative analysis and augmented Lagrangian method. The design…

### Structural optimization using topological and shape sensitivity via a level set method

- Computer Science
- 2005

A numerical coupling of two recent methods in shape and topology optimization of structures yields an efficient algorithm which can escape from local minima in a given topological class of shapes.

### A new approach for simultaneous shape and topology optimization based on dynamic implicit surface function

- Physics
- 2005

In the present paper, a new approach for structural topology optimization based on dynamic implicit surface function (DISF) is proposed. DISF is used to describe the shape/topology of a structure,…

### Generalized Shape Optimization Using X-FEM and Level Set Methods

- Computer Science
- 2005

An intermediate approach between parametric shape optimization and topology optimization is presented, based on using the recent Level Set description of the geometry and the novel eXtended Finite Element Method (XFEM).

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