<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>Failure may take different forms: reaching the Mohr–Coulomb limit stress condition is accompanied by yielding, strain localisation may occur in shear, compaction or dilatant bands, arbitrary large strain and loss of strength may be accompanied by a field of chaotic displacements of soil particles. Failure is also related to material instability. It takes place when there is a loss of uniqueness of constitutive relationships. It has been found that instability domains exist strictly inside the Mohr–Coulomb failure surface. Material instability can be detected by local Hill's criterion, that is the second-order work at a point. Results of a coupled hydro-mechanical finite element analysis of an ‘earth dam – subgrade’ system at changing hydraulic boundary conditions have been presented in the article. Normalised values of the second-order work and factor of safety values by the shear strength reduction procedure for corresponding stages of the analysis were calculated. It has been shown that the value of the safety factor corresponds to the values of the second-order work. The analysis results show that a decrease in the value of the safety factor is accompanied by a decrease in the value of the second-order work until negative values occur at some points.</p>
</abstract>

Failure may take different forms: reaching the Mohr–Coulomb limit stress condition is accompanied by yielding, strain localisation may occur in shear, compaction or dilatant bands, arbitrary large strain and loss of strength may be accompanied by a field of chaotic displacements of soil particles. Failure is also related to material instability. It takes place when there is a loss of uniqueness of constitutive relationships. It has been found that instability domains exist strictly inside the Mohr–Coulomb failure surface. Material instability can be detected by local Hill's criterion, that is the second-order work at a point. Results of a coupled hydro-mechanical finite element analysis of an ‘earth dam – subgrade’ system at changing hydraulic boundary conditions have been presented in the article. Normalised values of the second-order work and factor of safety values by the shear strength reduction procedure for corresponding stages of the analysis were calculated. It has been shown that the value of the safety factor corresponds to the values of the second-order work. The analysis results show that a decrease in the value of the safety factor is accompanied by a decrease in the value of the second-order work until negative values occur at some points.

Second-Order Work Criterion in the Stability Analysis of an Earth Dam Subjected to Seepage

Department of Geotechnics and Roads, Faculty of Civil Engineering

Studia Geotechnica et Mechanica

This work is licensed under the Creative Commons Attribution 4.0 International License.

Failure may take different forms: reaching the Mohr–Coulomb limit stress condition is accompanied by yielding, strain localisation may occur in shear,...

Parameter	earth dam (mSa)	subgrade (Si)
E_ur^ref [MPa]	100	30
σ_ref [kPa]	100	100
ν_ur [−]	0.2	0.3
m [−]	0.5	0.9
σ_L [kPa]	10	10
E₅₀^ref [MPa]	30	10
ϕ [°]	35	25
c [kPa]	0	10
ψ [°]	5	10
E_oed [MPa]	38	10
OCR [−]	3	3
k [m/s]	10⁻⁶	10⁻⁷
S_r [−]	0	0.2
α [1/m]	10	1
K₀ [−]	0.8	0.92

Second-Order Work Criterion in the Stability Analysis of an Earth Dam Subjected to Seepage

Article Category: Special Issue 19th KKMGiIG

Data publikacji: 01 paź 2023

Zakres stron: 253 - 261

Otrzymano: 14 sty 2023

Przyjęty: 23 cze 2023

DOI: https://doi.org/10.2478/sgem-2023-0015

Słowa kluczowe
second-order work, material stability, finite element analysis of stability, hydro-mechanical coupling

© 2023 Krzysztof Sternik, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Figure 1:

Figure 2:

Figure 3:

Figure 4:

Figure 5:

Figure 6:

Figure 7:

Figure 8:

Figure 9:

Soil parameters assumed in the analysis.

Second-Order Work Criterion in the Stability Analysis of an Earth Dam Subjected to Seepage

Article Category: Special Issue 19th KKMGiIG

Data publikacji: 01 paź 2023

Zakres stron: 253 - 261

Otrzymano: 14 sty 2023

Przyjęty: 23 cze 2023

DOI: https://doi.org/10.2478/sgem-2023-0015

Słowa kluczowesecond-order work, material stability, finite element analysis of stability, hydro-mechanical coupling

© 2023 Krzysztof Sternik, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Figure 1:

Figure 2:

Figure 3:

Figure 4:

Figure 5:

Figure 6:

Figure 7:

Figure 8:

Figure 9:

Soil parameters assumed in the analysis.

Słowa kluczowe
second-order work, material stability, finite element analysis of stability, hydro-mechanical coupling