By Dorel Banabic
The e-book offers an artificial presentation of the study played within the box of sheet steel forming simulation in the course of greater than two decades through the individuals of 3 groups: the examine Centre on Sheet steel Forming – CERTETA (Technical college of Cluj-Napoca, Romania); AUTOFORM software-house corporation from Zürich, Switzerland and VOLVO car corporation from Sweden.
The first bankruptcy reminds a few basic subject matters of the speculation of plasticity. A extra prolonged bankruptcy is dedicated to the presentation of the phenomenological yield standards, emphasizing the formulations proposed via the CERTETA group (BBC models). The sheet steel formability is mentioned in a separate bankruptcy. After proposing the equipment used for the formability evaluation, the dialogue makes a speciality of the forming restrict curves. during this context, the authors emphasize their contributions to the mathematical modeling of forming restrict curves. The features with regards to the implementation of the constitutive versions in finite-element codes are mentioned within the final bankruptcy of the e-book. The performances of the versions are proved by means of the numerical simulation of assorted sheet steel forming techniques: hydroforming, deep-drawing and forming of the complicated elements. The publication comes in handy for the scholars, doctoral fellows, researchers and engineers who're mostly drawn to the mechanical modeling and numerical simulation of sheet steel forming processes.
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Extra resources for Sheet Metal Forming Processes: Constitutive Modelling and Numerical Simulation
Also the contact conditions can be strongly simplified. • Since no material tangent stiffness matrices have to be established, the implementation of new material laws is considerable simplified (compared to an implicit method). • Since no matrices are stored during an explicit simulation, the data storage requirements are much smaller than for an implicit method. • The explicit method is well adapted for parallelization. 8 A Historical Review of Sheet Forming Simulation The possibility to perform simulations of sheet forming processes was for a long time an unattainable desire in the sheet forming industry.
7) By replacing Eq. 8) where Fθ is a function depending on the angle θ. Of course, Fθ is defined according to the specific formulation of the equivalent stress. If we combine Eq. 9) where Φ(σ ,Y) is the yield function associated to the yield criterion, Y—yield stress, h—scalar parameter defining the plastic strain accumulated by the material, we get: Yθ = Y(h) . 10) defines the uniaxial yield stress corresponding to the planar direction identified by the angle θ. If the reference yield stress is selected to be the one corresponding to the rolling direction (Y(h) = Y0 ), we obtain the following relationship: Yθ = Y0 .
This leads naturally to a Langrangian FE-formulation with nodal displacements as primary unknowns. The disadvantages of such an approach are of course the same as those of the flow approach. However, the present formulation do also lack the simplicity of the flow formulation, since the kinematic relations in a Lagrangian formulation are much more complicated than those in an Eulerian one. During this period of time (the 1980s) the flow and rigid-plastic approaches were more popular than the static-implicit one, mainly because they were more stable, and considerably larger time-steps could be employed.
Sheet Metal Forming Processes: Constitutive Modelling and Numerical Simulation by Dorel Banabic