References
405
parameters. Position a shows the function G in compression (upper curve), shear
(middle line), and elongation (lower curve). Positions b–d show stress diagrams
in uniaxial elongation, uniaxial compression, and torsion. The absolute values of
principal strains are laid on the X-axis and modules of principal stresses on the
Y -axis. S designates curves belonging to compressing principal stresses and R
designates elongating stresses. Position f shows curves of changes in the transverse
strain coefficient (μ). It is characteristic that in compression, this coefficient
remains almost unchanged, and in the case of elongation, in experiments, and upon
computational dependencies, the coefficient falls down and strain increases. This
phenomenon is also found in the paper by Panyaev and Rusinko [4].
To avoid confusion, Fig. 31.1d gives only the dependency T ∼ ε 1 since the ycoordinates of the diagram T ∼ |ε 3 | differ from the shown dependencies by a low
value (increased). Position e gives creep results in uniaxial compression. As the
figure shows, creep strains fade away quickly, and for the first half an hour when the
creep rate is mostly notable, their value reaches 10% of the initial axial strain.
Graphical results shown in Fig. 31.1b–f, indicate the high coincidence of experimental and model dependencies with a rather representative set of studied
phenomena found in soil strain.
References
1. I. Berezin, N. Zhidkov, Metody vychislenii (Calculation method). (Nauka Publ., Moscow, 1966)
2. V. Molotnikov, Metody modelirovaniya v zemledel’cheskoi mekhanike (Modeling methods in
agricultural mechanics). PhD thesis, Sankt-Peterburg, ASFI, 1994
3. V. Molotnikov, A. Molotnikova, Clozhnaya deformatsiya pochvogruntov (A complex deformation of soils, Orenburg, pp. 321–327), in Prochnost’ i razrushenie materialov i konstruktsii:
materialy V mezhdunar. nauchn. konf. T. 2 (Strength and destruction of materials and structures:
materials V Mezhdunar. Scientific Conf. vol. 2.)
4. V. Panyaev, K. Rusinko, O deformatsiyakh i razrushenii polukhrupkikh tel (On deformations
and destruction of semi-brittle bodies). Deformatsiya neuprugogo tela: sb. nauchn. statei
(Deformation of an inelastic body: sci. articles) (1970), pp. 98–100
405
parameters. Position a shows the function G in compression (upper curve), shear
(middle line), and elongation (lower curve). Positions b–d show stress diagrams
in uniaxial elongation, uniaxial compression, and torsion. The absolute values of
principal strains are laid on the X-axis and modules of principal stresses on the
Y -axis. S designates curves belonging to compressing principal stresses and R
designates elongating stresses. Position f shows curves of changes in the transverse
strain coefficient (μ). It is characteristic that in compression, this coefficient
remains almost unchanged, and in the case of elongation, in experiments, and upon
computational dependencies, the coefficient falls down and strain increases. This
phenomenon is also found in the paper by Panyaev and Rusinko [4].
To avoid confusion, Fig. 31.1d gives only the dependency T ∼ ε 1 since the ycoordinates of the diagram T ∼ |ε 3 | differ from the shown dependencies by a low
value (increased). Position e gives creep results in uniaxial compression. As the
figure shows, creep strains fade away quickly, and for the first half an hour when the
creep rate is mostly notable, their value reaches 10% of the initial axial strain.
Graphical results shown in Fig. 31.1b–f, indicate the high coincidence of experimental and model dependencies with a rather representative set of studied
phenomena found in soil strain.
References
1. I. Berezin, N. Zhidkov, Metody vychislenii (Calculation method). (Nauka Publ., Moscow, 1966)
2. V. Molotnikov, Metody modelirovaniya v zemledel’cheskoi mekhanike (Modeling methods in
agricultural mechanics). PhD thesis, Sankt-Peterburg, ASFI, 1994
3. V. Molotnikov, A. Molotnikova, Clozhnaya deformatsiya pochvogruntov (A complex deformation of soils, Orenburg, pp. 321–327), in Prochnost’ i razrushenie materialov i konstruktsii:
materialy V mezhdunar. nauchn. konf. T. 2 (Strength and destruction of materials and structures:
materials V Mezhdunar. Scientific Conf. vol. 2.)
4. V. Panyaev, K. Rusinko, O deformatsiyakh i razrushenii polukhrupkikh tel (On deformations
and destruction of semi-brittle bodies). Deformatsiya neuprugogo tela: sb. nauchn. statei
(Deformation of an inelastic body: sci. articles) (1970), pp. 98–100