American Society of Civil Engineers


Accuracy of Two Stress Update Algorithms for Shear-Free Large Deformation Paths


by Antonio Rodríguez-Ferran, (Assoc. Prof., Departamento de Matemática Aplicada III, E.T.S. de Ingenieros de Caminos, Univ. Politècnica de Catalunya, Campus Nord C-2, E-08034, Barcelona, Spain) and Antonio Huerta, M.ASCE, (Prof., Departamento de Matemática Aplicada III, E.T.S. de Ingenieros de Caminos, Univ. Politècnica de Catalunya, Campus Nord C-2, E-08034, Barcelona, Spain. E-mail: huerta@lacan.upc.es)

Journal of Engineering Mechanics, Vol. 125, No. 6, June 1999, pp. 715-717, (doi:  http://dx.doi.org/10.1061/(ASCE)0733-9399(1999)125:6(715))

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Document type: Technical Note
Abstract: The behavior of two stress update algorithms for shear-free large deformation paths is analyzed. The first algorithm by Bathe and his co-workers has a truncation error of order 1. The second algorithm by Pinsky and his co-workers has a truncation error of order 2. As a consequence, the global performance of the second algorithm is clearly superior. However, for the particular case of shear-free deformation paths, the first algorithm correctly predicts null shear stresses, while the second one does not. This behavior was reported by Rodríguez-Ferran and co-workers for an extension-rotation test. In this note a general shear-free deformation path is considered in full detail.


ASCE Subject Headings:
Accuracy
Algorithms
Deformation
Shear stress