Implementation of a crack propagation constraint within a structural optimization software

Papila, Melih; Haftka, Raphael T.

doi:10.1007/s00158-003-0329-0

Cited by 11 publications

(4 citation statements)

References 21 publications

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“…Thomsen, Wang and Karihaloo (1994; investigated some problems of crack appearance in the considered bodies. Crack appearance was also taken into account by Papila and Haftka (2003) and Vitali et al (2002). In these investigations all parameters of crack appearing have been supposed as given.…”

Section: Introductionmentioning

confidence: 99%

Design of fracture resistant structures

2008

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Damage accumulation and fracture of structures represented an actual mechanical problem that is needed in development of theoretical and computational methods. One of the most important problems in this direction is the problem of optimal structural design, when in optimization process it is necessary to take into account initial structural defects, arising cracks and damage accumulation. This problem is characterized by incomplete information concerning initial cracks size, cracks position and its orientation. In this context it is necessary to develop the statements of the optimization problems based on guaranteed (mini-max), probabilistic and mixed probabilistic-guaranteed approaches for considered problems with incomplete information. For many realistic it is reasonable to use variants of the mini-max optimization, named as optimization for "the worst case scenario" (see Banichuk et al. ). Considered problem consist in finding the shape and thickness distribution of axisymmetric quasi-brittle shells with arising cracks in such a way, that the cost functional (volume or weight of the shell material) reaches the minimum, while satisfying some constraints on the stress intensity factor and geometrical constraints. In the case of cycling loadings we consider the number of loading cycles before fracture as the main constraint. Some examples of problems formulations, analytical and numerical solutions based on genetic algorithm are presented.

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Section: Introductionmentioning

confidence: 99%

Design of fracture resistant structures

2008

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“…Thomsen et al (1994), Thomsen and Karihaloo (1995) investigated some problems of crack appearance in the considered bodies. Crack appearance was also taken into account by Papila and Haftka (2003) and Vitali et al (2002). In these investigations all parameters of crack appearing have been supposed as given.…”

Section: Introductionmentioning

confidence: 99%

Optimal Shape Design of Axisymmetric Shells for Crack Initiation and Propagation Under Cyclic Loading

Баничук

Ivanova

Макеев

et al. 2005

Mechanics Based Design of Structures and Machines

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This paper describes a problem of axisymmetric shell optimization under fracture mechanics and geometric constraints. The problem is formulated as the weight (volume of a shell material) minimization and the meridional contour of the shell is taken as the design variable. The shell is made from quasi-brittle materials and through cracks arising are admitted. It is supposed that the shell is loaded by cyclic forces. A crack propagation process related to the stress intensity factor is described by the Paris fatigue law. The problem of finding the meridian shape (geometric design variable), of the shell having the smallest mass subject to constraint on the cyclic number for fatigue cracks, is investigated using a minimax (guaranteed) approach worked out in the theory of optimization under incomplete information. Optimal designs of the shells are found numerically with the application of genetic algorithms.

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“…Thomsen et al [1], Thomsen and Karihaloo [2], Wang and Karihaloo [3] investigated some problems of crack appearance in the considered bodies. Crack appearance was also taken into account by Papila and Haftka [4] and Vitali et al [5]. In these investigations all parameters of crack appearing have been supposed as given.…”

Section: Introductionmentioning

confidence: 99%

Modern fracture mechanics for structural optimization with incomplete information

Баничук

Ivanova

Макеев

2008

Int. J. Simul. Multidisci. Des. Optim.

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Questions described in this paper are concerned with the shape optimization of brittle or quasi-brittle (axisymmetric) elastic shells. These questions take into consideration the possibilities of crack arising and damage accumulation in the process of application of cyclic load to the shell structure. Initial structural defects, arising cracks and damage accumulation are characterized by incomplete information concerning initial crack sizes, crack position and its orientation. In this context we develop the statements of the optimization problems based on guaranteed approach for the considered problems with incomplete information. For many realistic cases it is reasonable to use variants of the mini-max optimization, named as optimization for "the worst case scenario". Considered in this paper the structural optimization problems consist in finding of the shape and thickness distribution of axisymmetric quasi-brittle elastic shells with arising cracks in such a way that the cost functional (volume or weight of the shell material) reaches the minimum, while satisfying some constraints on the stress intensity factor and geometrical constraints. In the case of cycling loadings, we consider the number of loading cycles before fracture as the main constraint.

show abstract

Implementation of a crack propagation constraint within a structural optimization software

Cited by 11 publications

References 21 publications

Design of fracture resistant structures

Design of fracture resistant structures

Optimal Shape Design of Axisymmetric Shells for Crack Initiation and Propagation Under Cyclic Loading

Modern fracture mechanics for structural optimization with incomplete information

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