Some improvements on the one-step inverse isogeometric analysis by proposing a multi-step inverse isogeometric methodology in sheet metal stamping processes

Isazadeh, Amir Reza; Shamloofard, Mansoor; Assempour, Ahmad

doi:10.1016/j.apm.2020.09.032

Cited by 7 publications

(10 citation statements)

References 42 publications

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“…Strains/thicknesses of the final part, the shape and size of the blank The multi-step IIGA 33 The final part, geometries of the intermediate tools, drawing depth of the middle stage, the initial sheet thickness, material properties Strains/thicknesses of the final and middle parts, shape and size of the blank, geometry of the middle configuration of the part. 36 To reduce this problem, effective plastic strain in each element should be greater than a specific value.…”

Section: Methods Inputs Outputsmentioning

confidence: 99%

“…The transfer-based multi-step IIGA model 33 was presented to improve the accuracy of the one-step model in simulations of forming processes that require several forming operations or severe deformation. In these cases, applying the deformation theory of plasticity in several stages and considering information of the middle tools are the main reasons for accuracy enhancement in the multi-step model.…”

Section: Inverse Isogeometric (Iiga) Methodologymentioning

confidence: 99%

“…Transfer-based one-step and multi-step IIGA models, which are schematically shown in Figure 1, were presented to analyze SMFP 31,33 with acceptable accuracy at a low computation time. The inputs and outputs of these methods are given in Table 1.…”

Section: Preliminary Studymentioning

confidence: 99%

“…After specifying physical points, locations of control points should be calculated since the IIGA models require control points to analyze the process. To do so, the following equation is used 33 :…”

Section: The Isogeometric-based Framework To Optimize Smfpmentioning

confidence: 99%

“…Validation and selection of the forming solver. Before using the one-step and multi-step IIGA models 31,33 in the optimization process, the performance of these methods is evaluated in formability analysis of the final part with considering different addendum surfaces. To do so, the results of IIGA models are compared to those of forward FEM and experiment.…”

Section: Problem 1: Addendum Design Of a Rectangular Boxmentioning

confidence: 99%

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Optimum design of middle stage tool geometry and addendum surfaces in sheet metal stamping processes using a new isogeometric-based framework

Shamloofard

Isazadeh

Shirin

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part B:

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An efficient isogeometric-based framework is presented to integrate optimum design and formability analysis of sheet metal forming processes. To assess the quality of the formed parts, several objective functions such as fracture, wrinkling, thickness variation, and stretching are studied. In this framework, geometric parameters of addendum surfaces and middle tools are considered as design variables, the objective functions are calculated using the recently developed one-step and multi-step inverse isogeometric methods, and the optimum design variables are obtained using the genetic global optimization algorithm. The major advantage of employing the inverse methods is to analyze the formability of the parts with a low computation time. In this research, the effects of altering addendum surfaces and/or middle tools on the quality of the formed parts are simultaneously observed since modeling, formability analysis, and optimization stages of sheet metal forming simulation are integrated using the NURBS functions. To evaluate the performance of the inverse isogeometric models in calculation of the studied objective functions, the results obtained by these models are compared to those of experiment and forward FEM. Comparisons of the results indicate that these models predict the objective functions with acceptable accuracy at a low computation time. For instance, in sheet metal forming analysis of a rectangular box with three different addendum surfaces, the maximum error in prediction of minimum thickness using the one-step inverse model is approximately 4.65% more than forward FEM, while the solution time of forward FEM is around 40 times greater. Finally, the presented optimization procedure is applied to design addendum surfaces in forming of a rectangular box and the middle tools in a two-stage drawing of a square box. The results of these problems confirm the credibility of the present approach in rapid optimum design of addendum surfaces and intermediate tools with acceptable accuracy.

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Section: Methods Inputs Outputsmentioning

confidence: 99%

Section: Inverse Isogeometric (Iiga) Methodologymentioning

confidence: 99%