Variational formulation of the optimal plastic design of circular plates

Cinquini, Carlo; Lamblin, D.; Guerlement, G.

doi:10.1016/0045-7825(77)90065-2

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2009

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Cited by 14 publications

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“…Axisymmetric plates of a rigid-plastic materiM have been investigated by Save (1985), Lamblin et al (1985), Cinquini et al (1977), and others.…”

Section: Introductionmentioning

confidence: 99%

Optimization of plastic cylindrical shells with stepwise varying thickness in the case of von Mises material

Lellep

Hannus

1995

Structural Optimization

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The problems of the optimization of rigid-plastic cylindrical shells are studied under the condition that the shell wall thickness is piece-wise constant. It is assumed that the deflections of the shell are moderately large and the material obeys the von Mises yield condition and the associated deformation law. The optimization problem is posed as an optimal control problem and necessary optimality conditions are derived with the aid of the variational methods of optimality theory. The set of equations obtained is solved numerically. An example regarding the minimization of the central deflection of the shell with two steps in the thickness is presented.

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“…Axisymmetric plates of a rigid-plastic materiM have been investigated by Save (1985), Lamblin et al (1985), Cinquini et al (1977), and others.…”

Section: Introductionmentioning

confidence: 99%

Optimization of plastic cylindrical shells with stepwise varying thickness in the case of von Mises material

Lellep

Hannus

1995

Structural Optimization

View full text Add to dashboard Cite

show abstract

“…The problem is dealt with by means of a variational approach [3] and the optimality condition is also found in this way [4]. Numerical solutions are proposed by using linear programming and by assuming the Tresca yield condition [5].…”

Section: Introductionmentioning

confidence: 99%