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Mechanical properties in the initial stage of sintering

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Abstract

Silicon nitride-based ceramics with different compositions were sintered in the 60%–90% range of theoretical density. Linear correlations between the apparent density and the modulus of elasticity, the three- and four-point bend strengths or the Vickers hardness, were observed. The slopes of the straight lines were nearly the same for all compositions. Furthermore, the modulus of elasticity, hardness, fracture toughness and strength were calculated as functions of density by modelling the structure as a random arrangement of spheres as suggested by Fischmeister and Arzt. The relationships obtained have been compared with the measured ones.

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Abbreviations

a :

average contact area

a c :

increase of the area of a crack

A :

area of the reference plane

b :

size of the critical defect

c :

constant in Equation 4

D :

density

D 0 :

density before shrinkage

D T :

theoretical density

e :

direction of macroscopic strain

E :

modulus of elasticity

E 0 :

modulus of elasticity of the dense material

f :

force loading a contact

f(θ):

projection of force f to e

F :

force loading the reference plane

g :

geometry parameter in the Griffiths relationship

H :

hardness

K IC :

fracture toughness

N :

number of particles in unit volume

N(θ):

the fraction of N in a given spherical angle

n(θ):

number of particles in the volume around the reference plane

P :

porosity

R :

initial particle radius

R′ :

particle radius after fictitious growth

R″ :

particle radius after redistribution of material

R SQ :

shared correlation coefficient

S :

surface energy of the defect

ν :

vector connecting the centres of neighbouring particles

W :

work necessary for increase the area of a crack

Z :

average coordination number

Z 0 :

initial coordination number

ɛ:

strain

ɛT :

strain at theoretical strength

δ:

strength

δT :

theoretical strength (limit of elasticity)

θ:

angle between v and e

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Authors and Affiliations

  1. Research Institute for Technical Physics, P.O. Box 76, H-1325, Budapest, Hungary

    P. Arató, E. Besenyei, A. Kele & F. Wéber

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  1. P. Arató
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Arató, P., Besenyei, E., Kele, A. et al. Mechanical properties in the initial stage of sintering. JOURNAL OF MATERIALS SCIENCE 30, 1863–1871 (1995). https://doi.org/10.1007/BF00351623

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