Shape optimization of elasto-plastic structures and continua

Rohan, Eduard; Whiteman, J. R.

doi:10.1016/s0045-7825(99)00134-6

Cited by 21 publications

(9 citation statements)

References 15 publications

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“…The method outlined below was originally developed in [12]. It was described in detail in [10](general smooth muscle models) and applied to particular biomechanical models in [1](kidney tissue), [13](cardiac tissue), and [6](pulmonate gastropod's tissue).…”

Section: Parameter Identification As a Nonlinear Least Squares Problemmentioning

confidence: 99%

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On identification of the arterial model parameters from experiments applicable “in vivo”

Cimrman¹,

Rohan²

2010

Mathematics and Computers in Simulation

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Section: Parameter Identification As a Nonlinear Least Squares Problemmentioning

confidence: 99%

“…It is based on a semi-analytic sensitivity analysis of an objective function w.r.t. the parameters searched, as derived in [12]. The elaborated algorithm is known to work well for living tissues, see [7].…”

Section: Introductionmentioning

confidence: 99%

On identification of the arterial model parameters from experiments applicable “in vivo”

Cimrman¹,

Rohan²

2010

Mathematics and Computers in Simulation

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“…From a numerical point of view some authors use conical derivatives inside a bundle algorithm to optimize the shape, see [54] and [39]. Another way to proceed is to differentiate the radial return algorithm (the generalized Newton method, see [56] chapter 8).…”

Section: Introductionmentioning

confidence: 99%

Elasto-plastic Shape Optimization Using the Level Set Method

Maury¹,

Allaire²,

Jouve³

2018

SIAM J. Control Optim.

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This article is concerned with shape optimization of structures made of a material obeying Hencky's laws of plasticity, with the stress bound expressed by the von Mises effective stress. The ill-posedness of the model is circumvented by using two regularized versions of the mechanical problem. The first one is the classical Perzyna formulation which is regularized, the second one is a new regularized formulation proposed for the von Mises criterion. Shape gradients are calculated thanks to the adjoint method. The optimal shape is numerically computed by using the level set method. To illustrate the validity of the method, 2D examples are performed.

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“…The codes are routinely used at the preliminary forming design stage of car panels and thin walled structural members. Some backwards simulation codes have been developed and used in the industry [27][28][29].…”

Section: Introductionmentioning

confidence: 99%

Theoretical and Experimental Analysis of Deep Drawing Cylindrical Cup

Arab¹,

Javadimanesh²

2013

JMMCE

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There are mainly two methods of deep drawing analysis: experimental and analytical/numerical. Experimental analysis can be useful in analyzing the process to determine the process parameters that produce a defect free product, and the analytical/numerical modeling can be used to model and analyze the process through all stages of deformation. This approach is less time consuming and more economical. Sheet metal forming often includes biaxial in-plane deformation with non-proportional strain paths. In deep drawing of cylindrical cup, the deformation in the flange is dominated by pure shear deformation, while it changes to plane strain when the material is drawn into the die. This paper deals with the analysis of deep drawing of circular blanks into axi-symmetric cylindrical cup using numerical modeling. The blank drawability has been related both theoretically and experimentally with the initial diameter of the blank and deep drawing parameters. The strains in the radial and circumferential directions have been measured. A correlation on the flange thickness variation by taking into account the work hardening with the analytical and experimental values also has been searched.

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Shape optimization of elasto-plastic structures and continua

Cited by 21 publications

References 15 publications

On identification of the arterial model parameters from experiments applicable “in vivo”

On identification of the arterial model parameters from experiments applicable “in vivo”

Elasto-plastic Shape Optimization Using the Level Set Method

Theoretical and Experimental Analysis of Deep Drawing Cylindrical Cup

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