The micromorphic constitutive model developed in previous works and accounting for isotropic plasticity, mixed kinematic and isotropic hardening and micromorphic damage is revised in order to enhance some coupling aspects. The associated numerical aspects are investigated and implemented into ABAQUS®/Explicit solver by developing two subroutines VUMAT to implement the micromorphic model and VUEL to implement an assumed strain-based element with additional micromorphic degrees of freedom. The tensional and bending tests of DP1000 dual phase steel are simulated and used to validate the model by comparing with experimental results.
A new Discrete Ordinates transport solver for unstructured tetrahedral meshes is presented. The solver uses the Discontinuous Galërkin Finite Element Method with linear or quadratic expansion of the flux within each cell. The solution of the one-group problem is obtained with non-preconditioned fixed-point or GMRES iterations. Precision and performances of the solver are evaluated on the 3D Radiation Transport Benchmark Problems proposed by Kobayashi, showing very good agreement with the reference and good computing times in serial execution.
Abstract. An advanced numerical methodology is developed for metal forming simulation based on thermodynamically-consistent nonlocal constitutive equations accounting for various fully coupled mechanical phenomena under finite strain in the framework of micromorphic continua. The numerical implementation into ABAQUS/Explicit is made for 2D quadrangular elements thanks to the VUEL users' subroutine. Simple examples with presence of a damaged area are made in order to show the ability of the proposed methodology to describe the independence of the solution from the space discretization.
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