In this paper, an incremental technique based on cyclic loading is developed to implement shakedown analysis for soils in the framework of elastic-plastic analysis without utilization of the classical shakedown theorems. A finite element model together with the use of ABAQUS is established for soil structures subjected to cyclic loads, where the Mohr-Coulomb yield criterion with associated plas...

Bree Interaction Diagrams have long been one of the major visual design guides for employing and evaluating shakedown in engineering applications. These diagrams provide representations of the realms in which elastoplastic behaviors, including shakedown, are found for a material and structure under variable loads. The creation of these diagrams often relies upon some combination of upper or low...

An integrated approach for all necessary variations within direct analysis, variational design sensitivity analysis and shakedown analysis based on Melan’s static shakedown theorem for linear unlimited kinematic hardening material behavior is formulated. Remarks on the computer implementation and numerical examples show the efficiency of the proposed formulation. Important effects of shakedown ...

ABSTRACT: In this paper, shakedown limits of non-homogeneous soils in a half-space under rolling and sliding surface loads are investigated. The inhomogeneity of the soil is described by a power law for the variation of Young’s modulus with the depth. Mohr-Coulomb criterion is employed to characterise the cohesive-frictional behaviour of the soil. Analytical solutions to the elastic stress fiel...

Structural design analyses are conducted with the aim of verifying the exclusion of ratchetting. To this end it is important to make a clear distinction between the shakedown range and the ratchetting range. The performed experiment comprised a hollow tension specimen which was subjected to alternating axial forces, superimposed with constant moments. First, a series of uniaxial tests has been ...

Recently a shakedown approach has been proposed for structural design of flexible road pavements (Wang and Yu, 2013a). This new approach makes use of both elastic and plastic properties of materials, and therefore represents an advance from the existing analytical design approach in the UK where pavement life is related with elastic strains at critical locations using empirical equations. Howev...

The paper describes some recent developments in the application of lower bound shakedown analysis to geotechnical problems. The theoretical basis of shakedown analysis is briefly reviewed along with the necessary finite element and optimization procedures. In terms of applications, the primary focus is on pavement design which is discussed in some detail.

In this paper, three-dimensional elasto-plastic finite element analysis was performed on flexible pavements under vertical repeated traffic loads to evaluate their shakedown behavior. Six different pavements with different structural number (SN) were modeled and subjected to a wide range of cyclic vehicle loads. Shakedown limits were obtained considering both failure and serviceability restrain...

The circular tubes containing external pit defects are analyzed in a lower-bound finite element computational form based on the static shakedown theorem. The shakedown analysis has not been commonly used in the engineering due to the large amount of computations. To overcome the numerical difficulties, a temperature parameter method is used, in which a pseudo-temperature field is applied to the...