On proportional deformation paths in hypoplasticity

Erich Bauer; Victor A. Kovtunenko; Pavel Krejčí; Nepomuk Krenn; Lenka Siváková; Anna V. Zubkova

doi:10.1007/s00707-019-02597-3

On proportional deformation paths in hypoplasticity

Erich Bauer, Victor A. Kovtunenko^*, Pavel Krejčí, Nepomuk Krenn, Lenka Siváková, Anna V. Zubkova

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

We investigate rate-independent stress paths under constant rate of strain within the hypoplasticity theory of Kolymbas type. For a particular simplified hypoplastic constitutive model, the exact solution of the corresponding system of nonlinear ordinary differential equations is obtained in analytical form. On its basis, the behaviour of stress paths is examined in dependence of the direction of the proportional strain paths and material parameters of the model.

Original language	English
Pages (from-to)	1603-1619
Number of pages	17
Journal	Acta Mechanica
Volume	231
Issue number	4
Early online date	28 Jan 2020
DOIs	https://doi.org/10.1007/s00707-019-02597-3
Publication status	Published - 1 Apr 2020

ASJC Scopus subject areas

Computational Mechanics
Mechanical Engineering

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AU - Krejčí, Pavel

AU - Krenn, Nepomuk

AU - Siváková, Lenka

AU - Zubkova, Anna V.

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N2 - We investigate rate-independent stress paths under constant rate of strain within the hypoplasticity theory of Kolymbas type. For a particular simplified hypoplastic constitutive model, the exact solution of the corresponding system of nonlinear ordinary differential equations is obtained in analytical form. On its basis, the behaviour of stress paths is examined in dependence of the direction of the proportional strain paths and material parameters of the model.

AB - We investigate rate-independent stress paths under constant rate of strain within the hypoplasticity theory of Kolymbas type. For a particular simplified hypoplastic constitutive model, the exact solution of the corresponding system of nonlinear ordinary differential equations is obtained in analytical form. On its basis, the behaviour of stress paths is examined in dependence of the direction of the proportional strain paths and material parameters of the model.

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On proportional deformation paths in hypoplasticity

Abstract

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