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7 Result(s)

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  1. No Access

    Article

    An accurate numerical method of solving singular boundary value problems for the stationary flow of granular materials and its application

    The rigid/plastic solutions are singular near certain surfaces. A special numerical method is required to solve such boundary value problems. The present paper develops such a method for two models of pressure...

    Sergei Alexandrov, Chih-Yu Kuo, Yeau-Ren Jeng in Continuum Mechanics and Thermodynamics (2024)

  2. No Access

    Article

    A general stress solution in a plastic region near a traction-free boundary of arbitrary shape under plane-strain conditions

    The stress field near voids (or holes, or pores) essentially contributes to the fracture process in metallic and nonmetallic materials. In contrast to strains, it is practically impossible to measure stresses ...

    Sergei Alexandrov, Elena Lyamina, Yeau-Ren Jeng in Continuum Mechanics and Thermodynamics (2023)

  3. No Access

    Article

    Finite strain expansion/contraction of a hollow sphere made of strain- and rate- hardening material

    This paper presents a semi-analytic rigid/plastic solution for the expansion/contraction of a hollow sphere at large strains. The yield stress depends on the equivalent strain rate and the equivalent strain. N...

    Sergei Alexandrov, Yeau-Ren Jeng in Continuum Mechanics and Thermodynamics (2022)

  4. No Access

    Article

    Expansion/contraction of a spherical elastic/plastic shell revisited

    A semi-analytic solution for the elastic/plastic distribution of stress and strain in a spherical shell subject to pressure over its inner and outer radii and subsequent unloading is presented. The Bauschinger...

    Sergei Alexandrov, Alexander Pirumov… in Continuum Mechanics and Thermodynamics (2015)

  5. No Access

    Article

    Enlargement of a circular hole in a disc of plastically compressible material

    A semi-analytic solution for the elastic/plastic distribution stress and strain in a thin annular disc subject to pressure over its inner radius is presented. It is assumed that a pressure-dependent yield crit...

    Alexander Pirumov, Sergei Alexandrov, Yeau-Ren Jeng in Acta Mechanica (2013)

  6. No Access

    Article

    Singular rigid/plastic solutions in anisotropic plasticity under plane strain conditions

    Assuming a rigid plastic material model with arbitrary smooth yield criterion, it is shown that the plane strain solutions are singular in the vicinity of maximum friction surfaces. In particular, some compone...

    Sergei Alexandrov, Yeau-Ren Jeng in Continuum Mechanics and Thermodynamics (2013)

  7. No Access

    Article

    Damage evolution in an expanding/contracting hollow sphere at large strains

    A generalization of one of the classical problems of plasticity theory, expansion/contraction of a hollow sphere, is proposed assuming that the conventional constitutive equations for rigid plastic, hardening ...

    Sergei Alexandrov, Yeau-Ren Jeng in Continuum Mechanics and Thermodynamics (2011)