A mathematical analysis of the elasto-plastic plane stress problem of a power-law material

Gao, X-L; Xin-Lin Gao
April 1998
IMA Journal of Applied Mathematics;Apr98, Vol. 60 Issue 2
Academic Journal
Presents a mathematical analysis of the elasto-plastic plane stress problem of a power-law material undergoing infinitesimal deformations. General solution for the stress and strain fields; Use of Hencky's deformation theory and von Mises yield criterion to represent the constitutive relations of the problem.


Related Articles

  • Modeling of strain localization in the dynamics of a softening rod. Myagkov, N. N. // Technical Physics Letters;Oct99, Vol. 25 Issue 10, p822 

    An elastoplastic model with a second-order gradient is used to analyze the dynamics of a one-dimensional rod at the deformation softening stage taking into account the nonlinearity of the descending part of the diagram. An exact solution of this nonlinear equation is obtained which describes the...

  • Deformation Analysis of Elastic-Plastic Two Layer Tubes Subject to Pressure: an Analytical Approach. Eraslan, Ahmet N.; Akis, Tolga // Turkish Journal of Engineering & Environmental Sciences;2004, Vol. 28 Issue 4, p261 

    Analytical solutions are obtained for axisymmetric elastic-plastic deformations in tightly fitted concentric tubes with fixed ends subjected to either internal or external pressure. Tresca's yield criterion and its associated flow rule are used to estimate the elastic-plastic response of the...

  • Determination of stress strain state in pipe subjected to internal pressure at plane strain condition under elasto plastic loading. Vaičiulis, D.; Braženas, A. // Mechanika;2011, Vol. 17 Issue 4, p346 

    The stress strain state of homogeneous pipe subjected to internal pressure at elasto plastic loading and plane strain condition is analyzed. The plane strain condition appears in buried pipelines. By using FEA it is proved that the accuracy of presented methodic for determination of stresses and...

  • Propagation of thin plastic zones in the vicinity of a normally separating crack. Glagolev, V. V.; Markin, A. A. // Journal of Applied Mechanics & Technical Physics;Sep2009, Vol. 50 Issue 5, p901 

    A problem of the development of a plastic zone in the vicinity of a physical cut in the plain strain and stress states is posed and solved on the basis of a discrete deformation model under the assumption of an ideal elastoplastic medium. The Tresca yield condition and the ultimate plasticity...

  • Conditions for the existence of discontinuity surfaces of irreversible strains in elastoplastic media. Burenin, A. A.; Dudko, O. V.; Semenov, K. T. // Journal of Applied Mechanics & Technical Physics;Sep2009, Vol. 50 Issue 5, p878 

    Constraints are obtained on the stresses of a plastically compressed elastoplastic medium at which the occurrence of discontinuities of irreversible strains is possible. The loading surfaces are taken to be piecewise linear closed surfaces. Velocities of motion of irreversible-strain...

  • Dynamic deformation of an elastoviscoplastic hollow sphere. Krivochenko, A. V.; Sporykhin, A. N. // Journal of Applied Mechanics & Technical Physics;Sep2009, Vol. 50 Issue 5, p872 

    The stress-strain state of a hollow sphere under time-dependent loading is studied using the constitutive relations for a hardening compressible elastoviscoplastic sold. Analytical solutions are obtained for displacement fields in the elastic and plastic regions. Time dependences of the...

  • Determination of Stresses and Strains in Elastoplastic Deformed Body from Hardness Characteristics. Muzyka, N.; Shvets, V. // Strength of Materials;Jul2014, Vol. 46 Issue 4, p512 

    The paper considers the possibility of determining stresses and strains in elastoplastic deformed body from hardness spreading parameters.

  • Solution of the problem of the elasto-plastic deformation of a shell structure. Berezyuk, A.; Rovnyi, S. // Chemical & Petroleum Engineering;Sep2008, Vol. 44 Issue 9/10, p543 

    An analytical solution of the boundary problem, which is one of the different forms of the approximate method of elastic solutions, is obtained within the framework of the deformation theory of small elastoplastic strains for the Kirchoff-Love model of a shell structure loaded by constant...

  • A polyconvex formulation of isotropic elastoplasticity theory†. Krishnan, Jyothi; Steigmann, David J. // IMA Journal of Applied Mathematics;Oct2014, Vol. 79 Issue 5, p722 

    A model of finite-deformation elastoplasticity theory that accommodates finite elastic strain is discussed. This is based on a polyconvex extension of the classical Hookean relation between stress and elastic strain. A framework for the description of scale effects associated with strain...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics