Optimality Conditions for Shape and Topology Optimization Subject to a Cone Constraint

Samuel Amstutz; Marc Ciligot–Travain

doi:10.1137/080722874

Optimality Conditions for Shape and Topology Optimization Subject to a Cone Constraint

SIAM Journal on Control and Optimization ◽

10.1137/080722874 ◽

2010 ◽

Vol 48 (6) ◽

pp. 4056-4077 ◽

Cited By ~ 1

Author(s):

Samuel Amstutz ◽

Marc Ciligot–Travain

Keyword(s):

Topology Optimization ◽

Optimality Conditions ◽

Shape And Topology Optimization ◽

Cone Constraint ◽

And Topology

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Shape and Topology Optimization in Computational Fluid Dynamics Including Heat Transfer Using Gaussian Processes and Adjoint Methods

AIAA Scitech 2021 Forum ◽

10.2514/6.2021-1892 ◽

2021 ◽

Author(s):

Robert Sandboge ◽

Dimitrios Papadimitriou ◽

Mahender Reddy

Keyword(s):

Heat Transfer ◽

Fluid Dynamics ◽

Computational Fluid Dynamics ◽

Topology Optimization ◽

Gaussian Processes ◽

Adjoint Methods ◽

Shape And Topology Optimization ◽

And Topology

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Minimization of maximal von Mises stress in porous composite microstructures using shape and topology optimization

Structural and Multidisciplinary Optimization ◽

10.1007/s00158-021-02942-y ◽

2021 ◽

Author(s):

Pedro G. Coelho ◽

Bruno C. Barroca ◽

Fábio M. Conde ◽

José M. Guedes

Keyword(s):

Topology Optimization ◽

Von Mises Stress ◽

Porous Composite ◽

Shape And Topology Optimization ◽

And Topology ◽

Von Mises

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Shape and topology optimization of a permanent-magnet machine under uncertainties

Journal of Mathematics in Industry ◽

10.1186/s13362-016-0032-6 ◽

2016 ◽

Vol 6 (1) ◽

Cited By ~ 11

Author(s):

Piotr Putek ◽

Roland Pulch ◽

Andreas Bartel ◽

E Jan W ter Maten ◽

Michael Günther ◽

...

Keyword(s):

Topology Optimization ◽

Permanent Magnet ◽

Permanent Magnet Machine ◽

Shape And Topology Optimization ◽

And Topology

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Multi-material plastic part design via the level set shape and topology optimization method

Engineering Optimization ◽

10.1080/0305215x.2016.1141203 ◽

2016 ◽

Vol 48 (11) ◽

pp. 1910-1931 ◽

Cited By ~ 2

Author(s):

Jikai Liu ◽

Kajsa Duke ◽

Yongsheng Ma

Keyword(s):

Topology Optimization ◽

Level Set ◽

Optimization Method ◽

Plastic Part ◽

Shape And Topology Optimization ◽

And Topology ◽

Plastic Part Design ◽

Topology Optimization Method

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An immersed boundary approach for shape and topology optimization of stationary fluid-structure interaction problems

Structural and Multidisciplinary Optimization ◽

10.1007/s00158-016-1467-5 ◽

2016 ◽

Vol 54 (5) ◽

pp. 1191-1208 ◽

Cited By ~ 21

Author(s):

Nicholas Jenkins ◽

Kurt Maute

Keyword(s):

Topology Optimization ◽

Fluid Structure Interaction ◽

Immersed Boundary ◽

Fluid Structure ◽

Shape And Topology Optimization ◽

Structure Interaction ◽

And Topology

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Shape and topology optimization of electrical machines using lie derivative-based analytical sensitivity analysis

2016 IEEE Conference on Electromagnetic Field Computation (CEFC) ◽

10.1109/cefc.2016.7815990 ◽

2016 ◽

Author(s):

Erin Kuci ◽

Francois Henrotte ◽

Pierre Duysinx ◽

Christophe Geuzaine

Keyword(s):

Sensitivity Analysis ◽

Topology Optimization ◽

Electrical Machines ◽

Lie Derivative ◽

Analytical Sensitivity ◽

Shape And Topology Optimization ◽

And Topology ◽

Analytical Sensitivity Analysis

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Saint-Venant's principle and its connections to shape and topology optimization

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.200710357 ◽

2008 ◽

Vol 88 (1) ◽

pp. 23-32 ◽

Cited By ~ 3

Author(s):

C. Barbarosie ◽

A.-M. Toader

Keyword(s):

Topology Optimization ◽

Shape And Topology Optimization ◽

And Topology

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A nodal finite element approximation of a phase field model for shape and topology optimization

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.07.049 ◽

2018 ◽

Vol 339 ◽

pp. 675-684 ◽

Cited By ~ 2

Author(s):

Xianliang Hu ◽

Yixin Li ◽

Hangjie Ji

Keyword(s):

Finite Element ◽

Topology Optimization ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Finite Element Approximation ◽

Element Approximation ◽

Shape And Topology Optimization ◽

And Topology

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Three Dimensional Shape and Topology Optimization in Cauchy-Navier’s PDE

Fast Solution of Discretized Optimization Problems ◽

10.1007/978-3-0348-8233-0_3 ◽

2001 ◽

pp. 35-49

Author(s):

Thomas Borrvall ◽

Joakim Petersson

Keyword(s):

Topology Optimization ◽

Three Dimensional ◽

Shape And Topology Optimization ◽

And Topology ◽

Dimensional Shape ◽

Three Dimensional Shape

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Introduction to Part II Shape and Topology Optimization

International Series of Numerical Mathematics - Trends in PDE Constrained Optimization ◽

10.1007/978-3-319-05083-6_12 ◽

2014 ◽

pp. 191-191

Author(s):

Helmut Harbrecht

Keyword(s):

Topology Optimization ◽

Shape And Topology Optimization ◽

And Topology

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