Mechanics of Sintering Materials with Bimodal Pore Distribution. I. Effective Characteristics of Biporous Materials and Equations for the Evolution of Pores of Different Radii

Abstract

A model of sintering for materials with bimodal pore distribution is formulated as a generalization of the continuum isotropic theory of sintering. In contrast to known models that only contain one behavioral parameter, i.e. porosity, the model suggested is described by two parameters for each type of pore. The evolution equations for each type of pore as well as the effective viscosity coefficients and Laplace pressure (sintering potential) are determined by unit cell analysis.

Mechanics of sintering materials with bimodal pore distribution. III. Kinetics of sintering combined with various forms of loading and adhesion conditions

“…That effect is more prominent when the sintering is accompanied by partial or complete adhesion of the specimen boundaries [2,3]. In our preceding communication [4], this has been related to instability in unimodal structures.…”

“…Then the radial component of the velocity may be directed to the center of the specimen. The condition for implementing the sinterdie scheme follows directly from (1) in [4] with e r = 0 (we envisage the idealized case where external friction is absent).…”

“…Then the basic mechanics equations and formulas (1) from the first paper [4] indicate that the patterns of stress, strain rate, and pore concentration for each type are uniform within the specimen, which in all the subsequent consideration is taken as a right circular cylinder.…”

Cosintering of a Bimodal Pore Distribution Layered Structure: Constitutive Models and Experiments

“…The densification behavior of a macroporous material differs from that of a microporous material due to the difference in behavior of different pore types. The features of densification of large pores have been studied using constitutive models 25–32 . In the present work, a constitutive model for the sintering of porous ceramic material controlled by grain‐boundary diffusion proposed by Lu et al 33 is applied for the macroporous layer.…”

Densification modeling studies on porous Al2O3 component

“…Considerable efforts have been made to understand the sintering of porous ceramic materials [1][2][3][4][5][6][7][8][9][10][11]. However, very few published models study the situation of a macroporous body where large and small pores coexist [12,13].…”