A simple FEM formulation applied to nonlinear problems of impact with thermomechanical coupling

The thermal effects of problems involving deformable structures are essential to describe the behavior of materials in feasible terms. Verifying the transformation of mechanical energy into heat it is possible to predict the modifications of mechanical properties of materials due to its temperature...

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Principais autores: Maciel, Daniel Nelson, Cavalcante, João Paulo de Barros, Greco, Marcelo, Silva Filho, José Neres da
Formato: article
Idioma:English
Publicado em: Associação Brasileira de Ciências Mecânicas
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Endereço do item:https://repositorio.ufrn.br/handle/123456789/30792
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spelling ri-123456789-307922020-12-06T08:06:40Z A simple FEM formulation applied to nonlinear problems of impact with thermomechanical coupling Maciel, Daniel Nelson Cavalcante, João Paulo de Barros Greco, Marcelo Silva Filho, José Neres da Positional Formulation Nonlinear analysis Thermomechanical Coupled problems Impact The thermal effects of problems involving deformable structures are essential to describe the behavior of materials in feasible terms. Verifying the transformation of mechanical energy into heat it is possible to predict the modifications of mechanical properties of materials due to its temperature changes. The current paper presents the numerical development of a finite element method suitable for nonlinear structures coupled with thermomechanical behavior; including impact problems. A simple and effective alternative formulation is presented, called FEM positional, to deal with the dynamic nonlinear systems. The developed numerical is based on the minimum potential energy written in terms of nodal positions instead of displacements. The effects of geometrical, material and thermal nonlinearities are considered. The thermodynamically consistent formulation is based on the laws of thermodynamics and the Helmholtz free-energy, used to describe the thermoelastic and the thermoplastic behaviors. The coupled thermomechanical model can result in secondary effects that cause redistributions of internal efforts, depending on the history of deformation and material properties. The numerical results of the proposed formulation are compared with examples found in the literature 2020-11-30T23:17:07Z 2020-11-30T23:17:07Z 2017 article CAVALCANTE, J. P. B.; MACIEL, D.N.; GRECO, Marcelo; SILVA FILHO, J. N . A simple FEM formulation applied to nonlinear problems of impact with thermomechanical coupling. Latin American Journal of Solids and Structures, v. 14, p. 2439-2462, 2017. Disponível em: https://www.lajss.org/index.php/LAJSS/article/view/3737. Acesso em: 31 nov, 2020. http://dx.doi.org/10.1590/1679-78253737 1679-7817 1679-7825 https://repositorio.ufrn.br/handle/123456789/30792 10.1590/1679-7825373 en Attribution 3.0 Brazil http://creativecommons.org/licenses/by/3.0/br/ application/pdf Associação Brasileira de Ciências Mecânicas
institution Repositório Institucional
collection RI - UFRN
language English
topic Positional Formulation
Nonlinear analysis
Thermomechanical
Coupled problems
Impact
spellingShingle Positional Formulation
Nonlinear analysis
Thermomechanical
Coupled problems
Impact
Maciel, Daniel Nelson
Cavalcante, João Paulo de Barros
Greco, Marcelo
Silva Filho, José Neres da
A simple FEM formulation applied to nonlinear problems of impact with thermomechanical coupling
description The thermal effects of problems involving deformable structures are essential to describe the behavior of materials in feasible terms. Verifying the transformation of mechanical energy into heat it is possible to predict the modifications of mechanical properties of materials due to its temperature changes. The current paper presents the numerical development of a finite element method suitable for nonlinear structures coupled with thermomechanical behavior; including impact problems. A simple and effective alternative formulation is presented, called FEM positional, to deal with the dynamic nonlinear systems. The developed numerical is based on the minimum potential energy written in terms of nodal positions instead of displacements. The effects of geometrical, material and thermal nonlinearities are considered. The thermodynamically consistent formulation is based on the laws of thermodynamics and the Helmholtz free-energy, used to describe the thermoelastic and the thermoplastic behaviors. The coupled thermomechanical model can result in secondary effects that cause redistributions of internal efforts, depending on the history of deformation and material properties. The numerical results of the proposed formulation are compared with examples found in the literature
format article
author Maciel, Daniel Nelson
Cavalcante, João Paulo de Barros
Greco, Marcelo
Silva Filho, José Neres da
author_facet Maciel, Daniel Nelson
Cavalcante, João Paulo de Barros
Greco, Marcelo
Silva Filho, José Neres da
author_sort Maciel, Daniel Nelson
title A simple FEM formulation applied to nonlinear problems of impact with thermomechanical coupling
title_short A simple FEM formulation applied to nonlinear problems of impact with thermomechanical coupling
title_full A simple FEM formulation applied to nonlinear problems of impact with thermomechanical coupling
title_fullStr A simple FEM formulation applied to nonlinear problems of impact with thermomechanical coupling
title_full_unstemmed A simple FEM formulation applied to nonlinear problems of impact with thermomechanical coupling
title_sort simple fem formulation applied to nonlinear problems of impact with thermomechanical coupling
publisher Associação Brasileira de Ciências Mecânicas
publishDate 2020
url https://repositorio.ufrn.br/handle/123456789/30792
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AT cavalcantejoaopaulodebarros asimplefemformulationappliedtononlinearproblemsofimpactwiththermomechanicalcoupling
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AT silvafilhojoseneresda asimplefemformulationappliedtononlinearproblemsofimpactwiththermomechanicalcoupling
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