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A large time increment approach for thermomechanical problems
We extend a new approach to the non-isothermal case, for the resolution of isothermal viscoplastic problems. The computational method is well suited for non-linear mechanical behaviour, described by internal variables. This approach is in contrast with the classical step-by-step method, as it is an iterative procedure that takes the whole loading process in a single time interval into account. The main point is to introduce a formulation of the thermomechanical problem adapted to the strategy that we use; we gather all the non-linearities in the evolution laws in order to obtain the linear state laws by using a change of variables that also allows us to remove the temperature from the state laws, except from Hooke's elasticity law (in which the effects of temperature are smooth). This formulation, called the normal formulation, is of great interest as it is well suited to most of the classical computational techniques and is particularly appropriate for the large time increment (LATIN) method that we use. Several examples illustrate the possibilities and efficiency of this strategy. Good accuracy is obtained in a few iterations, even in the case of realistic loading histories, and only a few linear elastic-type global problems have to be solved.
A large time increment approach for thermomechanical problems
We extend a new approach to the non-isothermal case, for the resolution of isothermal viscoplastic problems. The computational method is well suited for non-linear mechanical behaviour, described by internal variables. This approach is in contrast with the classical step-by-step method, as it is an iterative procedure that takes the whole loading process in a single time interval into account. The main point is to introduce a formulation of the thermomechanical problem adapted to the strategy that we use; we gather all the non-linearities in the evolution laws in order to obtain the linear state laws by using a change of variables that also allows us to remove the temperature from the state laws, except from Hooke's elasticity law (in which the effects of temperature are smooth). This formulation, called the normal formulation, is of great interest as it is well suited to most of the classical computational techniques and is particularly appropriate for the large time increment (LATIN) method that we use. Several examples illustrate the possibilities and efficiency of this strategy. Good accuracy is obtained in a few iterations, even in the case of realistic loading histories, and only a few linear elastic-type global problems have to be solved.
A large time increment approach for thermomechanical problems
Cognard, J.Y. (author) / Ladeveze, P. (author) / Talbot, P. (author)
1999
11 Seiten, 18 Quellen
Conference paper
English
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