Original scientific paper

Conservative algorithms for time integration of elastodynamic response in finite strains

L. Briseghella ; Dipartimento di Costruzioni e Trasporti, Facolta di Ingegneria, Universita degli Studi di Padova, Padova, Italia
A. Corazzin ; Dipartimento di Costruzioni e Trasporti, Facolta di Ingegneria, Universita degli Studi di Padova, Padova, Italia
C. Majorana ; Dipartimento di Costruzioni e Trasporti, Facolta di Ingegneria, Universita degli Studi di Padova, Padova, Italia
P. Pavan ; Dipartimento di Costruzioni e Trasporti, Facolta di Ingegneria, Universita degli Studi di Padova, Padova, Italia

Abstract

A numerical model for the algorithmic treatment of the dynamic response of hyperelastic bodies in finite strains is here applied to non-linear hyperelastic continua. The main goal is to point out the conditions allowing the fulfilment of linear and angular momentum conservation and the conservation of total energy. The application of a generalised mid-point rule for time integration and use the of a particular algorithmic form of the symmetric Piola-Kirchhoff stress tensor preserve the exact conservation of total linear and angular momentum and the exact conservation of energy for general hyperelastic bodies ensuring also a second order accuracy. Some examples related to a particular hyperelastic constitutive model are shown to remark the properties of the algorithm. The examples were processed using an object-oriented f.e.m. software.

Keywords

Hrčak ID:

319398

URI

https://hrcak.srce.hr/319398

Publication date:

12.12.1997.

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