Generating optimal topologies in structural design using a homogenization method

References

Page 1

	Year	Citations
Optimal design and relaxation of variational problems, I Robert V. Kohn, Gilbert Strang Communications on Pure and Applied Mathematics Mathematical ProgrammingNumerical AnalysisEngineeringVariational AnalysisOptimal Design	1986	622
Structural shape optimization—A survey Raphael T. Haftka, Ramana V. Grandhi Computer Methods in Applied Mechanics and Engineering Geometric ModelingEngineeringNatural SciencesDesignShape Optimization	1986	579
Shape optimal design using B-splines V. Braibant, Claude Fleury Computer Methods in Applied Mechanics and Engineering Geometric ModelingEngineeringGeometryNatural SciencesDesign	1984	491
Homogenization in open sets with holes Doina Cioranescu, Jeannine Saint Jean Paulin Journal of Mathematical Analysis and Applications Open SetsTopological PropertyHomogenization (Chemistry)	1979	445
An investigation concerning optimal design of solid elastic plates Keng-Tung Cheng, Niels Olhoff International Journal of Solids and Structures EngineeringMechanicsMechanical EngineeringShape OptimizationOptimal Design	1981	442
Homogenization and optimal bounds in linear elasticity Gilles A. Francfort, François Murat Archive for Rational Mechanics and Analysis Nonlinear ElasticityElasticity (Physics)Linear ElasticityHomogenization (Chemistry)Functional Analysis	1986	401
Differentiation with Respect to the Domain in Boundary Value Problems J. Simon Numerical Functional Analysis and Optimization Numerical AnalysisMethod Of Fundamental SolutionPde-constrained OptimizationFree Boundary ProblemBoundary Value Problems	1980	352
A new model for thin plates with rapidly varying thickness Robert V. Kohn, Michael Vogelius International Journal of Solids and Structures EngineeringMicromechanicsMechanicsMechanical EngineeringMechanical Modeling	1984	289
On the existence of a solution in a domain identification problem Denise Chenais Journal of Mathematical Analysis and Applications Inverse ProblemsDomain Identification Problem	1975	268
Exact estimates of conductivity of composites formed by two isotropically conducting media taken in prescribed proportion K. A. Lurie, Andrej Cherkaev Proceedings of the Royal Society of Edinburgh Section A Mathematics Materials ScienceEffective TensorsPrescribed Effective ConductivityEngineeringMechanical Engineering	1984	231

Page 1