A model for rock salt, describing transient, stationary, and accelerated creep and dilatancy

Günther, R.-M.; Salzer, K.

doi:10.1201/9781315106502-13

Cited by 4 publications

(6 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A variety of constitutive models of rock salt has been proposed in the past for different applications based on experimental and theoretical studies . Lubby2 and Minkley are constitutive models composed of Burgers models extended by nonlinear stress‐dependent viscosities, and, in the case of Minkley, dilatancy boundaries .…”

Section: Constitutive Models Of Rock Saltmentioning

confidence: 81%

“…The cohesion can evolve according to linear and non‐linear hardening/softening laws . Here, we considered only simple linear hardening in the early stages of plastic deformation as follows:

c = c_{0} ((), 1 + H_{1} ϵ_{Peff}),

where

c

is cohesion,

c_{0}

is initial cohesion, and

H_{1}

is first‐order harding coefficient.…”

Section: Constitutive Models Of Rock Saltmentioning

confidence: 99%

“…The mechanical behavior of rock salt is rate‐dependent, causing time‐dependent stress and strain fields associated with primary, secondary, or tertiary creep or stress‐relaxation processes developing at different time scales . These processes are furthermore dependent on the current state of the material, eg, the acting stress, the presence of damage, or the current temperature . Time‐integration schemes must ensure that the nonlinear and path‐dependent stress‐strain behavior of the material is captured with a desired accuracy over the course of a numerical simulation in order to provide meaningful results.…”

Section: Introductionmentioning

confidence: 99%

“…A universal integration scheme would, however, be preferable. Finally, also material failure is considered in modern constitutive models for geotechnical materials where hardening or softening behavior can be observerd . The time scale of various creep stages and failure observed in rock salt differ by orders of magnitude, requiring additional considerations for time adaptivity.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Error‐controlled implicit time integration of elasto‐visco‐plastic constitutive models for rock salt

Zhang

Nagel

2020

Num Anal Meth Geomechanics

View full text Add to dashboard Cite

The mechanical behavior of rock salt is rate-dependent at different time scales. Using caverns in rock salt formations for renewable energy storage implies that the underground structures are subjected to both short-term and long-term loads, increasing robustness and flexibility requirements for numerical simulators used to assess the safety of such structures. So far, explicit time integration with model-specific heuristics for time-step size determination dominate in application studies. In this paper, the suitability of error-controlled adaptive time-integration schemes of the diagonally implicit Runge-Kutta type is investigated in comparison with the Backward Euler and Crank-Nicolson schemes when applied to the integration of typical elasto-visco-plastic constitutive models of rock salt. The comparison is made both for monotonic and for cyclic loads as well as taking account of thermo-mechanical coupling. Analyses of the time-integration errors and the time step-size evolution show the suitability of the integration scheme for these material models. The automatic adjustment of the time-step size was found to be robust across all material models and boundary conditions as well as for non-isothermal situations for a single algorithmic parameter set. KEYWORDS error control, implicit Runge-Kutta, rock salt, time adaptivity, viscoplasticity INTRODUCTIONA wide range of time-integration schemes, both implicit and explicit, have been implemented into software packages for the numerical simulation quasi-static and dynamic problems in geotechnics. 1,2 Because a balance has to be sought between using shorter step sizes to increase accuracy and decreasing simulation times by using larger step sizes, 3,4 researchers have paid much attention to the numerical stability and accuracy of different integration schemes depending on the chosen step size. 5-8 The choice of a suitable time-integration scheme depends to a certain degree on the problem modelled. This article is concerned with the integration of complex inelastic constitutive models for rock salt.The mechanical behavior of rock salt is rate-dependent, causing time-dependent stress and strain fields associated with primary, secondary, or tertiary creep or stress-relaxation processes developing at different time scales. 9 These processes are furthermore dependent on the current state of the material, eg, the acting stress, the presence of damage, or the current This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

show abstract

Section: Constitutive Models Of Rock Saltmentioning

confidence: 81%

“…The cohesion can evolve according to linear and non‐linear hardening/softening laws . Here, we considered only simple linear hardening in the early stages of plastic deformation as follows:

c = c_{0} ((), 1 + H_{1} ϵ_{Peff}),

where

c

is cohesion,

c_{0}

is initial cohesion, and

H_{1}

is first‐order harding coefficient.…”

Section: Constitutive Models Of Rock Saltmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Error‐controlled implicit time integration of elasto‐visco‐plastic constitutive models for rock salt

Zhang

Nagel

2020

Num Anal Meth Geomechanics

View full text Add to dashboard Cite

show abstract

“…The material models and the parameters of the different geological layers are given in Table 2. These models and the fitting parameters based on rock-mechanics laboratory tests [3,13] are used by all benchmark participants.…”

Section: Behaviour Of Other Rock Layersmentioning

confidence: 99%

Simulation of the Long-Term Behaviour of an Underground Structure in Rock Salt

Pudewills¹

Proceedings of the Eighth International Conference on Engineering Computational Technology

View full text Add to dashboard Cite

This paper summarizes the current state of numerical simulations of long-term geomechanical behaviour of an existing salt mine. Within the frame of a national joint project, five participants performed benchmark like calculations on a 3D underground structure. The main objective of the project was to evaluate the ability of the different models to correctly describe the relevant deformation phenomena in rock salt under various influences. In the first step of the benchmark calculations, the initial state of stress taking into account the creep behaviour of the rock salt and an intercalating clay layer has been determined. After excavation of the main room and different drifts the calculations have been continued over 100 years. Finally, the numerical results and in situ measurements are compared.

show abstract

Comparison of advanced constitutive models for the mechanical behavior of rock salt – results from a joint research project – I. Modeling of deformation processes and benchmark calculations

Schulze¹,

Heemann²,

Zetsche³

et al. 2017

The Mechanical Behavior of Salt – Understanding of THMC Processes in Salt

View full text Add to dashboard Cite

A model for rock salt, describing transient, stationary, and accelerated creep and dilatancy

Cited by 4 publications

References 0 publications

Error‐controlled implicit time integration of elasto‐visco‐plastic constitutive models for rock salt

Error‐controlled implicit time integration of elasto‐visco‐plastic constitutive models for rock salt

Simulation of the Long-Term Behaviour of an Underground Structure in Rock Salt

Comparison of advanced constitutive models for the mechanical behavior of rock salt – results from a joint research project – I. Modeling of deformation processes and benchmark calculations

Contact Info

Product

Resources

About