Shakedown analysis for porous materials

Shakedown analysis of porous materials via mixed meshless methods

“…The yield function used in the shakedown analysis of porous material presented in this paper is based on a previous proposal [8,28], as shown in the following:…”

“…The compressive hydrostatic pressure p can be computed by the following expression, from the trace of the residual stress tensor T r obtained by the shakedown analysis [28]: Therefore, from Eq. (8), the expression (6) proposed by Heckel [15] becomes a function of the residual stress T r .…”

“…Zhang et al [35] considered a hollow sphere model to obtain shakedown solutions of porous materials under cyclic loads. Using variational principles and the finite element method, Ruiz and Silveira [28] presented numerical solutions for the shakedown analysis of porous materials.…”

“…The constitutive behavior of the porous materials should be described by a suitable yield function for the shakedown analysis. Several authors proposed yield functions for this type of material [8,9,12,14,24,28,30].…”

“…In this paper, the mixed moving least squares method proposed by Ruiz and Silveira [27] is applied to the shakedown analysis of porous materials. In the next section, a yield function for porous material is presented [28]. This yield function is used in the numerical solution of the mixed variational principle for shakedown analysis of porous material presented in Sect.…”