An equation for the plasticity of a porous solid allowing for true strains of the matrix material

Analysis of the dynamic radial compaction of granular media

“…(1)- (6). This implies that the compaction dynamics is described by the universal (independent of the absolute dimensions) relation θ(τ ) = θ(τ, p c (τ ), x m , x c ).…”

“…This paper is a continuation of studies [1,2], devoted to a semi-empirical description of the compaction of a granular medium, in particular, nanopowders based on aluminum oxide [3][4][5]. The compaction of a granular medium is considered in the continual approximation of a plastically hardened porous solid [6][7][8][9]. The characteristics of the AM and α-AM nanopowders studied, experimental compression adiabats, and empirically constructed hardening functions are given in [1,5].…”

Strain hardening of a powder body in pressing

“…Although these studies were based on the theory of plasticity for porous bodies, using the rheological properties of porous bodies necessitated a refinement of the results obtained. Therefore, this paper analyzes the strain hardening of the matrix in a porous body using the theory of plasticity and new data on the rheological properties of porous bodies.The modern theory of plasticity for porous and powder bodies is based on the continuum approach adopted by continuum mechanics [5][6][7][8][9][10]. A porous body to be compacted is a two-phase isotropic composite in which powder…”

“…The modern theory of plasticity for porous and powder bodies is based on the continuum approach adopted by continuum mechanics [5][6][7][8][9][10]. A porous body to be compacted is a two-phase isotropic composite in which powder…”

“…The viscous hydrodynamic equations are used to derive an elliptic yield criterion for porous bodies [7,9], which was experimentally validated in [17]. The derivation is based on the one-to-one correspondence between the energy dissipation rate 2Ψ in a unit volume of a viscous porous body and in its matrix (solid phase) [16].…”