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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Positional finite element formulation for two-dimensional analysis of elasto-plastic solids with contact applied to cold forming processes simulation

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Author(s):
Carvalho, Pericles R. P. [1] ; Coda, Humberto B. [1] ; Sanches, Rodolfo A. K. [1]
Total Authors: 3
Affiliation:
[1] Univ Sao Paulo, Sao Carlos Sch Engn, Dept Struct Engn, Sao Carlos, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: Journal of the Brazilian Society of Mechanical Sciences and Engineering; v. 42, n. 5 APR 20 2020.
Web of Science Citations: 0
Abstract

In this work, we develop a position-based finite element formulation for elasto-plastic solids under contact situation. The proposed positional formulation employs a total Lagrangian description and naturally considers geometric nonlinearities. The employed elasto-plastic model is derived from the dissipation inequality, using the thermodynamic conjugacy between the plastic strain rate and the so-called Mandel stress. The formulation is based on the Kroner-Lee decomposition, in which the deformation gradient is multiplicatively split into its elastic and plastic parts. We apply the backward Euler method to solve the plastic evolutions and von Mises yield criterion to define the elastic limit. The adopted kinematic hardening model is a finite strain generalization of the Armstrong-Frederick law, which uses the objective Jaumann derivative for the evolution equation and the concept of back stress tensor as an internal variable. For the elastic parcel of strains, we adopt a neo-Hookean constitutive law. With respect to the 2D application, plane strain and plane stress approximations are considered, where the latter is solved numerically by a local Newton-Raphson numerical procedure. Regarding the contact problem, a classical node-to-segment algorithm is applied, considering both frictionless and frictional cases, with the introduction of Lagrange multipliers in order to enforce contact constraints. Representative numerical examples are used to validate and show the possibilities of the proposed formulation in macroscale simulation of metal cold forming manufacturing processes. (AU)

FAPESP's process: 18/23957-2 - Numerical analysis of thermo-mechanical effects in solids including phase change and contact
Grantee:Péricles Rafael Pavão Carvalho
Support Opportunities: Scholarships in Brazil - Doctorate