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  1. Structural and Multidisciplinary Optimization
  2. Structural and Multidisciplinary Optimization : Volume 33
  3. Structural and Multidisciplinary Optimization : Volume 33, Issue 4-5, April 2007
  4. Free material optimization for stress constraints
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Structural and Multidisciplinary Optimization : Volume 56
Structural and Multidisciplinary Optimization : Volume 55
Structural and Multidisciplinary Optimization : Volume 54
Structural and Multidisciplinary Optimization : Volume 53
Structural and Multidisciplinary Optimization : Volume 52
Structural and Multidisciplinary Optimization : Volume 51
Structural and Multidisciplinary Optimization : Volume 50
Structural and Multidisciplinary Optimization : Volume 49
Structural and Multidisciplinary Optimization : Volume 48
Structural and Multidisciplinary Optimization : Volume 47
Structural and Multidisciplinary Optimization : Volume 46
Structural and Multidisciplinary Optimization : Volume 45
Structural and Multidisciplinary Optimization : Volume 44
Structural and Multidisciplinary Optimization : Volume 43
Structural and Multidisciplinary Optimization : Volume 42
Structural and Multidisciplinary Optimization : Volume 41
Structural and Multidisciplinary Optimization : Volume 40
Structural and Multidisciplinary Optimization : Volume 39
Structural and Multidisciplinary Optimization : Volume 38
Structural and Multidisciplinary Optimization : Volume 37
Structural and Multidisciplinary Optimization : Volume 36
Structural and Multidisciplinary Optimization : Volume 35
Structural and Multidisciplinary Optimization : Volume 34
Structural and Multidisciplinary Optimization : Volume 33
Structural and Multidisciplinary Optimization : Volume 33, Issue 6, June 2007
Structural and Multidisciplinary Optimization : Volume 33, Issue 4-5, April 2007
Special issue to honour Pauli Pedersen
On simultaneous optimization of truss geometry and topology
Minimization of sound radiation from vibrating bi-material structures using topology optimization
Free material optimization for stress constraints
Exact analytical solutions for some popular benchmark problems in topology optimization II: three-sided polygonal supports
Optimal design of composite structures for strength and stiffness: an inverse homogenization approach
On two formulations of an optimal insulation problem
A topological derivative method for topology optimization
On simultaneous shape and orientational design for eigenfrequency optimization
Morphology-based black and white filters for topology optimization
Stress concentration minimization of 2D filets using X-FEM and level set description
Structural and Multidisciplinary Optimization : Volume 33, Issue 3, March 2007
Structural and Multidisciplinary Optimization : Volume 33, Issue 2, February 2007
Structural and Multidisciplinary Optimization : Volume 33, Issue 1, January 2007
Structural and Multidisciplinary Optimization : Volume 32
Structural and Multidisciplinary Optimization : Volume 31
Structural and Multidisciplinary Optimization : Volume 30
Structural and Multidisciplinary Optimization : Volume 29
Structural and Multidisciplinary Optimization : Volume 28
Structural and Multidisciplinary Optimization : Volume 27
Structural and Multidisciplinary Optimization : Volume 26
Structural and Multidisciplinary Optimization : Volume 25
Structural and Multidisciplinary Optimization : Volume 24
Structural and Multidisciplinary Optimization : Volume 23
Structural and Multidisciplinary Optimization : Volume 22
Structural and Multidisciplinary Optimization : Volume 21
Structural and Multidisciplinary Optimization : Volume 20
Structural and Multidisciplinary Optimization : Volume 19
Structural and Multidisciplinary Optimization : Volume 18
Structural and Multidisciplinary Optimization : Volume 17
Structural and Multidisciplinary Optimization : Volume 16
Structural and Multidisciplinary Optimization : Volume 15
Structural and Multidisciplinary Optimization : Volume 14
Structural and Multidisciplinary Optimization : Volume 13

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Free material optimization for stress constraints

Content Provider Springer Nature Link
Author Kočvara, Michal Stingl, Michael
Copyright Year 2007
Abstract Free material design deals with the question of finding the lightest structure subject to one or more given loads when both the distribution of material and the material itself can be freely varied. We additionally consider constraints on local stresses in the optimal structure. We discuss the choice of formulation of the problem and the stress constraints. The chosen formulation leads to a mathematical program with matrix inequality constraints, so-called nonlinear semidefinite program. We present an algorithm that can solve these problems. The algorithm is based on a generalized augmented Lagrangian method. A number of numerical examples demonstrate the effect of stress constraints in free material optimization.
Starting Page 323
Ending Page 335
Page Count 13
File Format PDF
ISSN 1615147X
Journal Structural and Multidisciplinary Optimization
Volume Number 33
Issue Number 4-5
e-ISSN 16151488
Language English
Publisher Springer-Verlag
Publisher Date 2007-02-08
Publisher Place Berlin, Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Topology optimization Material optimization Stress based design Nonlinear semidefinite programming Engineering Design Numerical and Computational Methods in Engineering Computer-Aided Engineering (CAD, CAE) and Design Theoretical and Applied Mechanics
Content Type Text
Resource Type Article
Subject Control and Optimization Computer Graphics and Computer-Aided Design Control and Systems Engineering Computer Science Applications Software
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