Efficient isogeometric shell element with through-thickness stretch: application to incremental sheet forming

Hokkanen, Jaro; Pedroso, Dorival M.; Elford, Michael C.; Stephan, Andrew J. E.; Zhang, Y.P.

doi:10.1088/1742-6596/1063/1/012189

Cited by 2 publications

(9 citation statements)

References 17 publications

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“…The connection between the boundary conditions and the maximum stable time step size was also observed by Hokkanen et al (2018) in a metal forming simulation.…”

Section: A4 Numerical Examplesmentioning

confidence: 57%

“…Furthermore, a minimum value for ε s is recommended. Good results were obtained by Hokkanen et al (2018) with β s = 10 −3 and ε s ≥ 1, although a time step size dependent expression for β s may be more adaptive for a general case. However, the algorithm is not very sensitive to the choice of the these values.…”

Section: Stylus Contact Algorithmmentioning

confidence: 99%

“…The simulation uses the stylus contact algorithm discussed in Section 3.6.2, which was also applied to ISF problems by Hokkanen et al (2018) and Hokkanen and Pedroso (2019b). A uniform control point spacing is considered with three different space discretizations: 6 mm (coarse), 4 mm (medium), and 2 mm (fine).…”

Section: Single Point Incremental Forming Examplementioning

confidence: 99%

“…The last section considers a two-point incremental forming (TPIF) problem introduced by Hokkanen et al (2018). The formed part from the experiment shown in The edges of the sheet bend upwards after the sheet is unclamped from the frame due to the springback effect.…”

Section: Two-point Incremental Forming Examplementioning

confidence: 99%

“…Some more complex simulations carried out by the authors (Hokkanen et al, 2018) indicate that the formulation is very competitive even against traditional low-order reduced integration shell elements in speed. In many applications, such as metal forming simulations, often over 50% larger time step size can be used in comparison to classical shell elements, either due to suitable boundary conditions or a larger boundary element size.…”

Section: A46 Dynamic Elasto-plastic Response Of a Square Platementioning

confidence: 99%

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Isogeometric shell analysis of incremental sheet forming

Hokkanen¹

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This thesis investigates the applicability and beneficiality of isogeometric analysis to the incremental sheet forming simulations. Incremental sheet forming (ISF) is a manufacturing process for sheet metals where the final shape is obtained incrementally using a blunt moving tool. ISF is a relatively slow process but does not need precise and expensive dies (which require a long lead time) in contrast to many other sheet forming processes. This makes it ideal for rapid prototyping, customized parts, and

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“…The connection between the boundary conditions and the maximum stable time step size was also observed by Hokkanen et al (2018) in a metal forming simulation.…”

Section: A4 Numerical Examplesmentioning

confidence: 57%

Section: Stylus Contact Algorithmmentioning

confidence: 99%

Section: Single Point Incremental Forming Examplementioning

confidence: 99%

Section: Two-point Incremental Forming Examplementioning

confidence: 99%

Section: A46 Dynamic Elasto-plastic Response Of a Square Platementioning

confidence: 99%

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Isogeometric shell analysis of incremental sheet forming

Hokkanen¹

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Isogeometric thickness stretchable shell: Efficient formulation for nonlinear dynamic problems

Hokkanen

Pedroso

2019

Numerical Meth Engineering

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An isogeometric shell element with through-thickness stretch is introduced and applied to quasi-static and dynamic problems. The shell element supports full three-dimensional constitutive laws, ie, the plane stress assumption is not required. An updated Lagrangian rate formulation is adopted, and biquadratic spline-based interpolation functions are used for in-plane interpolation. The concept of fiber mass scaling is proposed to lower the highest eigenfrequencies to improve the performance of the formulation. Clamped and unclamped knot vectors are compared, and the advantages of using unclamped knot vectors are demonstrated. The shell element is validated using several benchmark tests, which indicate good performance of the proposed formulation. KEYWORDS explicit dynamics, isogeometric analysis, large deformations, thick-shell element, unclamped knot vectors Recently, the focus in the shell finite element technology has shifted toward more advanced formulations, such as thickness stretchable shell elements and solid shells. Two isogeometric solid-shell elements have been proposed by Hosseini et al 20,21 ; the latter formulation was extended to model propagation of delamination in composite materials. 22 Int J Numer Methods Eng. 2019;119:105-127.wileyonlinelibrary.com/journal/nme

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Efficient isogeometric shell element with through-thickness stretch: application to incremental sheet forming

Cited by 2 publications

References 17 publications

Isogeometric shell analysis of incremental sheet forming

Isogeometric shell analysis of incremental sheet forming

Isogeometric thickness stretchable shell: Efficient formulation for nonlinear dynamic problems

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