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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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 |
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Positional Formulation Nonlinear analysis Thermomechanical Coupled problems Impact |
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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 |
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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 |
work_keys_str_mv |
AT macieldanielnelson asimplefemformulationappliedtononlinearproblemsofimpactwiththermomechanicalcoupling AT cavalcantejoaopaulodebarros asimplefemformulationappliedtononlinearproblemsofimpactwiththermomechanicalcoupling AT grecomarcelo asimplefemformulationappliedtononlinearproblemsofimpactwiththermomechanicalcoupling AT silvafilhojoseneresda asimplefemformulationappliedtononlinearproblemsofimpactwiththermomechanicalcoupling AT macieldanielnelson simplefemformulationappliedtononlinearproblemsofimpactwiththermomechanicalcoupling AT cavalcantejoaopaulodebarros simplefemformulationappliedtononlinearproblemsofimpactwiththermomechanicalcoupling AT grecomarcelo simplefemformulationappliedtononlinearproblemsofimpactwiththermomechanicalcoupling AT silvafilhojoseneresda simplefemformulationappliedtononlinearproblemsofimpactwiththermomechanicalcoupling |
_version_ |
1773961881722028032 |