Rate Type hypoplastic differential equations under mixed stress-strain control in biaxial test

Erich Bauer; Victor Kovtunenko; Pavel Krejci; Giselle Monteiro

doi:10.20948/symmetry-2022

Rate Type hypoplastic differential equations under mixed stress-strain control in biaxial test

Erich Bauer, Victor Kovtunenko, Pavel Krejci, Giselle Monteiro

Institute of Applied Mechanics (2610)

Research output: Chapter in Book/Report/Conference proceeding › Conference paper › peer-review

Abstract

The hypoplastic constitutive equations stemming from soil mechanics, which are under mixed stress-strain control carried out in a biaxial test, are studied with respect to its well- posedness and non-uniqueness of a solution. The result of theoretical investigation of the strongly nonlinear dynamic system is supported by computer simulation of numerical tests. Besides investigating the existence of global solutions, the simulations give an insight about the numerical convergence and validate the physical consistency of the system of equations when data is chosen in a domain of parameters satisfying feasibility conditions.

Original language	English
Title of host publication	Modern Achievements in Symmetries of Differential Equations (Symmetry 2022)
Place of Publication	Suranaree University of Technology in Nakhon Ratchasima, Thailand
Pages	59-68
Number of pages	10
DOIs	https://doi.org/10.20948/symmetry-2022
Publication status	Published - 2023
Event	International Conference Modern Achievements in Symmetries of Differential Equations: Symmetry 2022 - Suranaree University of Technology, Nakhon Ratchasima, Hybrid, Thailand Duration: 13 Dec 2022 → 16 Dec 2022

Conference

Conference	International Conference Modern Achievements in Symmetries of Differential Equations
Country/Territory	Thailand
City	Nakhon Ratchasima, Hybrid
Period	13/12/22 → 16/12/22

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Cite this

Rate Type hypoplastic differential equations under mixed stress-strain control in biaxial test. / Bauer, Erich; Kovtunenko, Victor; Krejci, Pavel et al.
Modern Achievements in Symmetries of Differential Equations (Symmetry 2022). Suranaree University of Technology in Nakhon Ratchasima, Thailand , 2023. p. 59-68.

Research output: Chapter in Book/Report/Conference proceeding › Conference paper › peer-review

Bauer, E, Kovtunenko, V, Krejci, P & Monteiro, G 2023, Rate Type hypoplastic differential equations under mixed stress-strain control in biaxial test. in Modern Achievements in Symmetries of Differential Equations (Symmetry 2022). Suranaree University of Technology in Nakhon Ratchasima, Thailand , pp. 59-68, International Conference Modern Achievements in Symmetries of Differential Equations, Nakhon Ratchasima, Hybrid, Thailand, 13/12/22. https://doi.org/10.20948/symmetry-2022

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abstract = "The hypoplastic constitutive equations stemming from soil mechanics, which are under mixed stress-strain control carried out in a biaxial test, are studied with respect to its well- posedness and non-uniqueness of a solution. The result of theoretical investigation of the strongly nonlinear dynamic system is supported by computer simulation of numerical tests. Besides investigating the existence of global solutions, the simulations give an insight about the numerical convergence and validate the physical consistency of the system of equations when data is chosen in a domain of parameters satisfying feasibility conditions.",

author = "Erich Bauer and Victor Kovtunenko and Pavel Krejci and Giselle Monteiro",

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AU - Bauer, Erich

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AU - Krejci, Pavel

AU - Monteiro, Giselle

PY - 2023

Y1 - 2023

N2 - The hypoplastic constitutive equations stemming from soil mechanics, which are under mixed stress-strain control carried out in a biaxial test, are studied with respect to its well- posedness and non-uniqueness of a solution. The result of theoretical investigation of the strongly nonlinear dynamic system is supported by computer simulation of numerical tests. Besides investigating the existence of global solutions, the simulations give an insight about the numerical convergence and validate the physical consistency of the system of equations when data is chosen in a domain of parameters satisfying feasibility conditions.

AB - The hypoplastic constitutive equations stemming from soil mechanics, which are under mixed stress-strain control carried out in a biaxial test, are studied with respect to its well- posedness and non-uniqueness of a solution. The result of theoretical investigation of the strongly nonlinear dynamic system is supported by computer simulation of numerical tests. Besides investigating the existence of global solutions, the simulations give an insight about the numerical convergence and validate the physical consistency of the system of equations when data is chosen in a domain of parameters satisfying feasibility conditions.

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U2 - 10.20948/symmetry-2022

DO - 10.20948/symmetry-2022

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BT - Modern Achievements in Symmetries of Differential Equations (Symmetry 2022)

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T2 - International Conference Modern Achievements in Symmetries of Differential Equations

Y2 - 13 December 2022 through 16 December 2022

ER -

Rate Type hypoplastic differential equations under mixed stress-strain control in biaxial test

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