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Small strain vs large strain formulation in computational mechanics
This paper is a short introduction to a comparison of the large strain formulation with respect to the small strain one. It is restricted to quasi static monophasic problems. It is intended, in this introduction, to clearly separate the balance equations and the constitutive models. Consequently large strain formulation of an elasto plastic constitutive equation is out of the scope of this paper. Two main problems are addressed here. It is first an attempt to introduce in a manner as simple as possible, different strain rale and stress measures. Second, we try to compare both formulation in order to clearly put forward quantities which are discarded in a small strain computation, with respect to the ones which are not neglected. It is shown that neglecting the effect of large strain is not a matter of strain magnitude. Finally we want to emphasized that the balance equation are written in the virtual work (power) form or in what is called by mathematicians the weak form.
Small strain vs large strain formulation in computational mechanics
This paper is a short introduction to a comparison of the large strain formulation with respect to the small strain one. It is restricted to quasi static monophasic problems. It is intended, in this introduction, to clearly separate the balance equations and the constitutive models. Consequently large strain formulation of an elasto plastic constitutive equation is out of the scope of this paper. Two main problems are addressed here. It is first an attempt to introduce in a manner as simple as possible, different strain rale and stress measures. Second, we try to compare both formulation in order to clearly put forward quantities which are discarded in a small strain computation, with respect to the ones which are not neglected. It is shown that neglecting the effect of large strain is not a matter of strain magnitude. Finally we want to emphasized that the balance equation are written in the virtual work (power) form or in what is called by mathematicians the weak form.
Small strain vs large strain formulation in computational mechanics
Chambon, René (Autor:in)
Revue Française de Génie Civil ; 6 ; 1037-1049
01.01.2002
13 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Unbekannt
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