Rock Mechanics and Rock Engineering

, Volume 48, Issue 4, pp 1573–1588 | Cite as

Fracture Toughness Effects in Geomaterial Solid Particle Erosion

Original Paper

Abstract

Effects of fracture toughness on the impingement of geomaterials (rocks and cementitious composites) by quartz particles at velocities between 40 and 140 m/s are investigated experimentally and analytically. If schist is excluded, relative erosion (in g/g) reduces according to a reverse power function if fracture toughness increases. The power exponent depends on impingement velocity, and it varies between −0.64 and −1.33. Lateral cracking erosion models, developed for brittle materials, deliver too high values for relative material erosion. This discrepancy is partly attributed to stress rate effects. Effects of R-curve behavior seem to be marginal. An integral approach ER = K1 · ERP + (1 − K1) · ERL is introduced, which considers erosion due to plastic deformation and lateral cracking. A transition function \(K_{1} = f\left( {K_{\text{Ic}}^{12/4} /\sigma_{\text{C}}^{23/4} } \right)\) is suggested in order to classify geomaterials according to their response against solid particle impingement.

Keywords

Erosion Fracture toughness Geomaterials Impact 

List of symbols

b

Distribution shape parameter

c

Crack length

cI

Material parameter

D

Fracture toughness exponent

dP

Erodent particle diameter

EK

Kinetic energy erodent particle

EM

Young’s modulus target material

EP

Young’s modulus erodent material

ER

Relative erosion

HM

Hardness target material

k

Elastic parameter

K1

Erosion parameter

KIc

Fracture toughness target material

m

R-curve parameter

MM

Eroded target mass

MP

Erodent particle mass

\(\dot{M}_{\text{P}}\)

Erodent mass flow rate

n

Stress rate parameter

PC

Contact force

rB

Contact radius

rP

Particle radius

tE

Exposure time

tP

Contact time

vP

Erodent particle velocity

β

Indenter angle

χ

Transition parameter

ΓIc

Critical energy release rate

λ

Distribution scale parameter

νM

Poisson’s ratio target material

νP

Poisson’s ratio erodent material

ρP

Density erodent material

ρM

Density target material

\(\dot{\sigma }\)

Stress rate

σC

Compressive strength target material

σP

Contact stress

σY

Yield stress

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Copyright information

© Springer-Verlag Wien 2014

Authors and Affiliations

  1. 1.Faculty of Georesources and Materials TechnologyAachen University of Technology (RWTH Aachen)HamburgGermany

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